The use of contemporary medical devices in the human body, such as dilation balloons, closure dev... more The use of contemporary medical devices in the human body, such as dilation balloons, closure devices, stents, coils, stent-grafts, etc. are gaining more importance to preclude surgical incisions and general anaesthesia. An analogous procedure for permanent female sterilization is the transcervical approach that does not require either general anaesthesia or surgical incision and uses a normal body passage. Various contemporary technologies have improved the strategies for permanent female sterilization. However, current methods of transcervical sterilization are unable to provide an instant occlusion. This work presents the design, development and validation of a novel mechanical occlusion device (Rehan et al. 2010, Lecture notes in engineering and computer science: proceedings of the world congress on engineering 2010, WCE 2010, 30 June–2 July London, UK, vol I. pp 566–571), which achieve both instant and permanent female sterilization via a transcervical approach. The device is designed to provide an instant mechanical occlusion by deploying, under hysteroscopic visualization an implant into the intramural segment of the fallopian tube. The design of the device has been accomplished through computer aided design (CAD), finite element method (FEM) and experimental testing. Validation has been performed following a number of successful bench-top in-air and in vitro deployments on animal tissue and explanted human uteri. The efficacy of the device and the instant occlusion of the fallopian tubes were proved by hydraulic pressure testing of the implanted uteri using saline and methylene blue solution. Initial results suggest that the device provides a safe, effective and instant method of permanent female sterilization. Further development work is ongoing in preparation for first-in vivo clinical trials.
Compared to laparoscopic surgery for interval tubal sterilization, the transcervical approach is ... more Compared to laparoscopic surgery for interval tubal sterilization, the transcervical approach is an effective method of female sterilization which obviates the requirement of general anesthesia and surgical incision. However, current methods of transcervical sterilization are unable to provide an instant occlusion. This paper focuses on the design, development and testing of a novel implant (James E., Coleman, Christy Cummins, 2009. Anastomosis Devices and Method. US Patent 20090105733A1) to achieve instant permanent female sterilization via the transcervical approach. The implant is designed to be deployed under hysteroscopic visualization into the ostium of the fallopian tube and relies on instant mechanical occlusion. The implant includes two sets of wings that penetrate into the ostium and uterine muscle tissue and trap the tissue in between thus plugging the entrance of the fallopian tube. In order to design the shape of implant wings and to investigate the mechanical behavior of the implant, a three-dimensional (3D) model was developed and Finite Element Method (FEM) was used for simulations. The implant was validated by a number of successful deployments in bench testing, animal tissue and explanted human uteri. During the deployments in animal tissue and explanted uteri, it was observed that the two sets of wings completely trapped the tissue in between and the hydraulic pressure testing of the explanted uteri using saline solution and methylene blue proved the instant occlusion of the fallopian tubes. Initial results suggest that this novel implant provides a safe and effective method of female sterilization. Further development work is ongoing in preparation for "first-in-man" clinical trials.
The objective here is to develop a flat surface area measuring system which is used to calculate ... more The objective here is to develop a flat surface area measuring system which is used to calculate the surface area of any irregular sheet. The irregular leather sheet is used in this work. The system is self protected by user name and password set through software for security purpose. Only authorize user can enter into the system by entering the valid pin code. After entering into the system, the user can measure the area of any irregular sheet, monitor and control the system. The heart of the system is Programmable Logic Controller (Master KSOS) which controls the complete working of the system. The controlling instructions for the system are given through the designed Human to Machine Interface (HMI). For communication purpose the GSM modem is also interfaced with the Programmable Logic Controller (pLC). The remote user can also monitor the current status of the devices by sending SMS message to the GSM modem.
The objective here is to implement the discrete PID on pendulum. The idea is to balance an Invert... more The objective here is to implement the discrete PID on pendulum. The idea is to balance an Inverted pendulum electro-mechanically using Proportional Integral Differential (PID) Control. The heart of the system is a PIC micro controller (pIC 18F4520). Controller commands the motor through PWM signal, which drives the cart to balance the pendulum in an inverted position. Pendulum's angular position is fed back by an incremental encoder mounted on its base, which is read by controller. Controller then calculates error and runs the PID algorithm to generate a new command signal. The exact position of pendulum with the value of its gains are sent to the attached Personal Computer (PC) using RS-232 protocol. The front panel is built in LabVIEW software.
The objective here is to develop a home automation and security system which can be controlled an... more The objective here is to develop a home automation and security system which can be controlled and monitored remotely using any telephone line. The user can enter into the system by entering the valid pin code. After entering into the system, the user can control the status of devices connected with the system using any Public Switched Telephone Network (PSTN). The system can also be implemented for security purposes in banks or at home. If the user is at outstation, he can change the status of the lights remotely for security reasons.
This paper proposes the design of anti-windup compensator gain for stability of actuator input co... more This paper proposes the design of anti-windup compensator gain for stability of actuator input constrained state delay systems using constrained pole-position of the closed-loop. Based on Delay-Dependent Lyapunov-Krasovskii functionals and local sector conditions, a new LMI characterization is derived that ensures closed-loop asymptotic stability of constrained state delay systems while accounting upper bound fixed state delay and largest lower bound of the system's pole-position in the formulation of anti-windup gain. Besides, at saturation, the method significantly nullifies the inherent slow dynamics present in the system. It is shown in the comparative numerical examples that the LMI formulation draws stability with improved time-domain performance.
This work describes the modeling, simulation and decentralized control of a coupled three tank sy... more This work describes the modeling, simulation and decentralized control of a coupled three tank system. The system is modeled mathematically using Bernoullipsilas law, mass balance and energy balance. Then the model is simulated in MATLAB using script file and in Simulink using S-functions. This system is linearized using control and estimation tool manager from Simulink model and using Jacobian method form mathematical model. The model is analyzed using step response, eigen values, real part of poles, number of right half plane (RHP) zeros, relative gain array (RGA) and controllability. The controllers are designed and tuned iteratively using sequential loop closing (SLC). Controllers for flow are designed by specifying the closed-loop response while PI controllers for temperature are tuned iteratively. These controllers are also applied to nonlinear Simulink model where they give a good stability remarkable performance.
AbstractThis paper describes the attitude stabilization problem of a rigid spacecraft. We consid... more AbstractThis paper describes the attitude stabilization problem of a rigid spacecraft. We consider the stabilization problem both in absence and presence of disturbances. To obtain a better disturbance rejection property we use sliding mode controller design technique. Stabilization of rigid ...
This paper presents with some new perspective the design of anti-windup compensator (AWC) for cas... more This paper presents with some new perspective the design of anti-windup compensator (AWC) for cascade control systems in the face of saturation nonlinearity fallen due to plant input constraint supplemented by plant uncertainty. Thus the developed full order AWC incorporating robustness keeps the closed-loop cascade system response stable at saturation and uncertainty. The performance of robust AWC in cascade control is also observed considering its pole position in bringing the plant to its steady state. Pole position in AWC design, results in better control of steady state settling time of plant output. Based on diagonal quadratic Lyapunov stability, reduction of \({\fancyscript{L}_2}\) norm, sector bound, multi-loop compensation, performance and robustness improvement, linear matrix inequalities are derived for dynamic AWC and applied on constrained cascade control plants. Technique is explicitly demonstrated on industrial constrained cascade control processes to validate the design.
This work describes the design of robust decentralized controllers for a multivariable system by ... more This work describes the design of robust decentralized controllers for a multivariable system by considering the parametric uncertainty due to parametric variation and interaction uncertainty due to non-diagonal elements of a plant. First the plant is considered for uncertainty modeling. Then three methodologies are used to design decentralized Hinfin controllers and decentralized Hinfin fixed order decentralized controllers. The performances of these methodologies are compared for a highly coupled three tank system. The close loop system is analyzed for uncertainty, Hinfin norm reduction, Nominal Performance (NP), robust performance (RP), nominal stability (NS) and robust stability (RS). The system has achieved 100% RS and NS, and remarkable RP, NP, Hinfin norm reduction and time domain performance.
In this paper, a new framework for designing static and low order anti-windup compensator (AWC) f... more In this paper, a new framework for designing static and low order anti-windup compensator (AWC) for industrial cascade control systems with actuator saturation constraint is presented. Based on less conservative block diagonal quadratic Lyapunov function, sector boundedness, decoupled architecture, L(2) norm reduction and cascade loop compensation, linear matrix inequalities are developed which guarantee stability and suitable performance for overall closed-loop system. Static AWC parameters are obtained by comparing the full order AWC architecture with generalized architecture for cascade control system. Low order AWC is designed by sub-optimal approach in which AWC weights are tuned by designer. Anti-windup compensator is divided into inner and outer loop compensators which compensate the effect of saturation at each level. It is observed that the proposed methodology is less conservative than the traditional AWC schemes when applied to cascade control systems. The proposed scheme is successfully tested experimentally on a temperature-based process control system and results are outlined.
In this paper, discrete-time full and reduced order anti-windup design for general linear cascade... more In this paper, discrete-time full and reduced order anti-windup design for general linear cascade control systems under actuator saturation constraint is considered. Based on decoupled architecture with multi-loop compensation, l2 gain reduction, discrete-time Block Diagonal Quadratic Lyapunov Function, and sector bounded-ness, LMI conditions are developed for full and reduced order anti-windup design which guarantees the stability and performance of overall closed-loop system. Results are demonstrated through a simulation example from process control.
Abstract Anti-windup compensator is an additional controller which is used to compensate the aff... more Abstract Anti-windup compensator is an additional controller which is used to compensate the affect of saturation non-linearity often present in practical systems. This paper describes the system identification, uncertainty modeling, control and implementation of different anti-...
International Journal of Control Automation and Systems, 2011
This paper proposes the design of anti-windup compensator gain for improving stability of actuato... more This paper proposes the design of anti-windup compensator gain for improving stability of actuator input constrained linear multiple state delays systems. The system state delays are classified into mixed delay-dependent/delay-independent analysis and described by delay-differential equations. The real scalar delays are assumed to be fixed and unknown, but with known coefficient matrices. It is shown that the closed-loop system containing the controller plus the anti-windup gain can be modeled as a linear system with dead-zone nonlinearity. The formulation of anti-windup compensator gain is based on convex optimization using linear matrix inequalities (LMI) that ensure closed-loop asymptotic stability of the system while accounting upper-bound delays. The devised LMIs based on Lyapunov-Krasovskii functionals prove significantly less conservative in giving higher upper bounds delays in the formulation of anti-windup gain besides ensuring closed-loop asymptotic stability.
Journal of Mechanical Science and Technology, 2010
This paper describes the design and implementation of a linear controller with an Anti-Windup Com... more This paper describes the design and implementation of a linear controller with an Anti-Windup Compensator (AWC) for a hot air blower system having output delays, under actuator saturation constraint and noise. Traditional Anti-Windup (AW) schemes for timedelay systems are based on either local stability or global stability with performance restrictions. We modify an existing AWC architecture using a time-delay term in the compensator in order to ensure global stability and performance. It is also shown that the existing Linear Matrix Inequalities (LMIs) based optimization schemes for AWC, which are derived using the decoupled architecture and coprime factorization, can be applied to the modified AWC architecture. This modified delay independent AWC scheme is applied to a hot air blower system and practical results are discussed. This paper aims to support the industrial application of the modified AWC ensuring global stability and performance, by applying it to a hot air blower system under actuator situation and output delay as well as electrical and thermal noises.
This paper discusses the synchronization of three coupled chaotic FitzHugh-Nagumo (FHN) neurons w... more This paper discusses the synchronization of three coupled chaotic FitzHugh-Nagumo (FHN) neurons with different gap junctions under external electrical stimulation. A nonlinear control law that guarantees the asymptotic synchronization of coupled neurons (with reduced computations) is proposed. The developed control law incorporates the synchronization error between two slave neurons in addition to the conventionally considered synchronization errors between the master and the slave neurons, which make the proposed scheme computationally more efficient. Further, a novel L 2 gain reduction criterion has been developed for multi-input multi-output systems with non-zero initial conditions, and is applied to robust synchronization of FHN neurons under L 2 norm bounded disturbance and uncertainties. Furthermore, a robust adaptive nonlinear control law is developed, which is capable of handling variations in nonlinear part of synchronization error dynamics, without using any neural-network-based training-oriented adaptive scheme. The proposed control schemes ensure global synchronization with computational simplicity, easy way of design and implementation and avoiding extra measurements. The results obtained with the proposed control laws are verified through numerical simulations. Korea. His research interests include applied intelligent control of embedded systems, brain signal processing and design and instrumentation of brain computer interface and brain machine interface systems.
This paper discusses stabilization and tracking control using linear matrix inequalities for a cl... more This paper discusses stabilization and tracking control using linear matrix inequalities for a class of systems with Lipschitz nonlinearities. A nonlinear state feedback stabilization control is proposed for systems containing a more general case of Lipschitz nonlinearity. The main objective of the present study is to provide, for multi-input multi-output nonlinear systems, a tracking control approach based on nonlinear state feedback, which guarantees global asymptotic output and state tracking with zero tracking error in the steady state. Further, the tracking control is formulated for optimal disturbance rejection, using L 2 gain reduction based performance criteria. The proposed methodologies are illustrated herein using two simulation examples of chaotic and unstable dynamical systems.
The use of contemporary medical devices in the human body, such as dilation balloons, closure dev... more The use of contemporary medical devices in the human body, such as dilation balloons, closure devices, stents, coils, stent-grafts, etc. are gaining more importance to preclude surgical incisions and general anaesthesia. An analogous procedure for permanent female sterilization is the transcervical approach that does not require either general anaesthesia or surgical incision and uses a normal body passage. Various contemporary technologies have improved the strategies for permanent female sterilization. However, current methods of transcervical sterilization are unable to provide an instant occlusion. This work presents the design, development and validation of a novel mechanical occlusion device (Rehan et al. 2010, Lecture notes in engineering and computer science: proceedings of the world congress on engineering 2010, WCE 2010, 30 June–2 July London, UK, vol I. pp 566–571), which achieve both instant and permanent female sterilization via a transcervical approach. The device is designed to provide an instant mechanical occlusion by deploying, under hysteroscopic visualization an implant into the intramural segment of the fallopian tube. The design of the device has been accomplished through computer aided design (CAD), finite element method (FEM) and experimental testing. Validation has been performed following a number of successful bench-top in-air and in vitro deployments on animal tissue and explanted human uteri. The efficacy of the device and the instant occlusion of the fallopian tubes were proved by hydraulic pressure testing of the implanted uteri using saline and methylene blue solution. Initial results suggest that the device provides a safe, effective and instant method of permanent female sterilization. Further development work is ongoing in preparation for first-in vivo clinical trials.
Compared to laparoscopic surgery for interval tubal sterilization, the transcervical approach is ... more Compared to laparoscopic surgery for interval tubal sterilization, the transcervical approach is an effective method of female sterilization which obviates the requirement of general anesthesia and surgical incision. However, current methods of transcervical sterilization are unable to provide an instant occlusion. This paper focuses on the design, development and testing of a novel implant (James E., Coleman, Christy Cummins, 2009. Anastomosis Devices and Method. US Patent 20090105733A1) to achieve instant permanent female sterilization via the transcervical approach. The implant is designed to be deployed under hysteroscopic visualization into the ostium of the fallopian tube and relies on instant mechanical occlusion. The implant includes two sets of wings that penetrate into the ostium and uterine muscle tissue and trap the tissue in between thus plugging the entrance of the fallopian tube. In order to design the shape of implant wings and to investigate the mechanical behavior of the implant, a three-dimensional (3D) model was developed and Finite Element Method (FEM) was used for simulations. The implant was validated by a number of successful deployments in bench testing, animal tissue and explanted human uteri. During the deployments in animal tissue and explanted uteri, it was observed that the two sets of wings completely trapped the tissue in between and the hydraulic pressure testing of the explanted uteri using saline solution and methylene blue proved the instant occlusion of the fallopian tubes. Initial results suggest that this novel implant provides a safe and effective method of female sterilization. Further development work is ongoing in preparation for "first-in-man" clinical trials.
The objective here is to develop a flat surface area measuring system which is used to calculate ... more The objective here is to develop a flat surface area measuring system which is used to calculate the surface area of any irregular sheet. The irregular leather sheet is used in this work. The system is self protected by user name and password set through software for security purpose. Only authorize user can enter into the system by entering the valid pin code. After entering into the system, the user can measure the area of any irregular sheet, monitor and control the system. The heart of the system is Programmable Logic Controller (Master KSOS) which controls the complete working of the system. The controlling instructions for the system are given through the designed Human to Machine Interface (HMI). For communication purpose the GSM modem is also interfaced with the Programmable Logic Controller (pLC). The remote user can also monitor the current status of the devices by sending SMS message to the GSM modem.
The objective here is to implement the discrete PID on pendulum. The idea is to balance an Invert... more The objective here is to implement the discrete PID on pendulum. The idea is to balance an Inverted pendulum electro-mechanically using Proportional Integral Differential (PID) Control. The heart of the system is a PIC micro controller (pIC 18F4520). Controller commands the motor through PWM signal, which drives the cart to balance the pendulum in an inverted position. Pendulum's angular position is fed back by an incremental encoder mounted on its base, which is read by controller. Controller then calculates error and runs the PID algorithm to generate a new command signal. The exact position of pendulum with the value of its gains are sent to the attached Personal Computer (PC) using RS-232 protocol. The front panel is built in LabVIEW software.
The objective here is to develop a home automation and security system which can be controlled an... more The objective here is to develop a home automation and security system which can be controlled and monitored remotely using any telephone line. The user can enter into the system by entering the valid pin code. After entering into the system, the user can control the status of devices connected with the system using any Public Switched Telephone Network (PSTN). The system can also be implemented for security purposes in banks or at home. If the user is at outstation, he can change the status of the lights remotely for security reasons.
This paper proposes the design of anti-windup compensator gain for stability of actuator input co... more This paper proposes the design of anti-windup compensator gain for stability of actuator input constrained state delay systems using constrained pole-position of the closed-loop. Based on Delay-Dependent Lyapunov-Krasovskii functionals and local sector conditions, a new LMI characterization is derived that ensures closed-loop asymptotic stability of constrained state delay systems while accounting upper bound fixed state delay and largest lower bound of the system's pole-position in the formulation of anti-windup gain. Besides, at saturation, the method significantly nullifies the inherent slow dynamics present in the system. It is shown in the comparative numerical examples that the LMI formulation draws stability with improved time-domain performance.
This work describes the modeling, simulation and decentralized control of a coupled three tank sy... more This work describes the modeling, simulation and decentralized control of a coupled three tank system. The system is modeled mathematically using Bernoullipsilas law, mass balance and energy balance. Then the model is simulated in MATLAB using script file and in Simulink using S-functions. This system is linearized using control and estimation tool manager from Simulink model and using Jacobian method form mathematical model. The model is analyzed using step response, eigen values, real part of poles, number of right half plane (RHP) zeros, relative gain array (RGA) and controllability. The controllers are designed and tuned iteratively using sequential loop closing (SLC). Controllers for flow are designed by specifying the closed-loop response while PI controllers for temperature are tuned iteratively. These controllers are also applied to nonlinear Simulink model where they give a good stability remarkable performance.
AbstractThis paper describes the attitude stabilization problem of a rigid spacecraft. We consid... more AbstractThis paper describes the attitude stabilization problem of a rigid spacecraft. We consider the stabilization problem both in absence and presence of disturbances. To obtain a better disturbance rejection property we use sliding mode controller design technique. Stabilization of rigid ...
This paper presents with some new perspective the design of anti-windup compensator (AWC) for cas... more This paper presents with some new perspective the design of anti-windup compensator (AWC) for cascade control systems in the face of saturation nonlinearity fallen due to plant input constraint supplemented by plant uncertainty. Thus the developed full order AWC incorporating robustness keeps the closed-loop cascade system response stable at saturation and uncertainty. The performance of robust AWC in cascade control is also observed considering its pole position in bringing the plant to its steady state. Pole position in AWC design, results in better control of steady state settling time of plant output. Based on diagonal quadratic Lyapunov stability, reduction of \({\fancyscript{L}_2}\) norm, sector bound, multi-loop compensation, performance and robustness improvement, linear matrix inequalities are derived for dynamic AWC and applied on constrained cascade control plants. Technique is explicitly demonstrated on industrial constrained cascade control processes to validate the design.
This work describes the design of robust decentralized controllers for a multivariable system by ... more This work describes the design of robust decentralized controllers for a multivariable system by considering the parametric uncertainty due to parametric variation and interaction uncertainty due to non-diagonal elements of a plant. First the plant is considered for uncertainty modeling. Then three methodologies are used to design decentralized Hinfin controllers and decentralized Hinfin fixed order decentralized controllers. The performances of these methodologies are compared for a highly coupled three tank system. The close loop system is analyzed for uncertainty, Hinfin norm reduction, Nominal Performance (NP), robust performance (RP), nominal stability (NS) and robust stability (RS). The system has achieved 100% RS and NS, and remarkable RP, NP, Hinfin norm reduction and time domain performance.
In this paper, a new framework for designing static and low order anti-windup compensator (AWC) f... more In this paper, a new framework for designing static and low order anti-windup compensator (AWC) for industrial cascade control systems with actuator saturation constraint is presented. Based on less conservative block diagonal quadratic Lyapunov function, sector boundedness, decoupled architecture, L(2) norm reduction and cascade loop compensation, linear matrix inequalities are developed which guarantee stability and suitable performance for overall closed-loop system. Static AWC parameters are obtained by comparing the full order AWC architecture with generalized architecture for cascade control system. Low order AWC is designed by sub-optimal approach in which AWC weights are tuned by designer. Anti-windup compensator is divided into inner and outer loop compensators which compensate the effect of saturation at each level. It is observed that the proposed methodology is less conservative than the traditional AWC schemes when applied to cascade control systems. The proposed scheme is successfully tested experimentally on a temperature-based process control system and results are outlined.
In this paper, discrete-time full and reduced order anti-windup design for general linear cascade... more In this paper, discrete-time full and reduced order anti-windup design for general linear cascade control systems under actuator saturation constraint is considered. Based on decoupled architecture with multi-loop compensation, l2 gain reduction, discrete-time Block Diagonal Quadratic Lyapunov Function, and sector bounded-ness, LMI conditions are developed for full and reduced order anti-windup design which guarantees the stability and performance of overall closed-loop system. Results are demonstrated through a simulation example from process control.
Abstract Anti-windup compensator is an additional controller which is used to compensate the aff... more Abstract Anti-windup compensator is an additional controller which is used to compensate the affect of saturation non-linearity often present in practical systems. This paper describes the system identification, uncertainty modeling, control and implementation of different anti-...
International Journal of Control Automation and Systems, 2011
This paper proposes the design of anti-windup compensator gain for improving stability of actuato... more This paper proposes the design of anti-windup compensator gain for improving stability of actuator input constrained linear multiple state delays systems. The system state delays are classified into mixed delay-dependent/delay-independent analysis and described by delay-differential equations. The real scalar delays are assumed to be fixed and unknown, but with known coefficient matrices. It is shown that the closed-loop system containing the controller plus the anti-windup gain can be modeled as a linear system with dead-zone nonlinearity. The formulation of anti-windup compensator gain is based on convex optimization using linear matrix inequalities (LMI) that ensure closed-loop asymptotic stability of the system while accounting upper-bound delays. The devised LMIs based on Lyapunov-Krasovskii functionals prove significantly less conservative in giving higher upper bounds delays in the formulation of anti-windup gain besides ensuring closed-loop asymptotic stability.
Journal of Mechanical Science and Technology, 2010
This paper describes the design and implementation of a linear controller with an Anti-Windup Com... more This paper describes the design and implementation of a linear controller with an Anti-Windup Compensator (AWC) for a hot air blower system having output delays, under actuator saturation constraint and noise. Traditional Anti-Windup (AW) schemes for timedelay systems are based on either local stability or global stability with performance restrictions. We modify an existing AWC architecture using a time-delay term in the compensator in order to ensure global stability and performance. It is also shown that the existing Linear Matrix Inequalities (LMIs) based optimization schemes for AWC, which are derived using the decoupled architecture and coprime factorization, can be applied to the modified AWC architecture. This modified delay independent AWC scheme is applied to a hot air blower system and practical results are discussed. This paper aims to support the industrial application of the modified AWC ensuring global stability and performance, by applying it to a hot air blower system under actuator situation and output delay as well as electrical and thermal noises.
This paper discusses the synchronization of three coupled chaotic FitzHugh-Nagumo (FHN) neurons w... more This paper discusses the synchronization of three coupled chaotic FitzHugh-Nagumo (FHN) neurons with different gap junctions under external electrical stimulation. A nonlinear control law that guarantees the asymptotic synchronization of coupled neurons (with reduced computations) is proposed. The developed control law incorporates the synchronization error between two slave neurons in addition to the conventionally considered synchronization errors between the master and the slave neurons, which make the proposed scheme computationally more efficient. Further, a novel L 2 gain reduction criterion has been developed for multi-input multi-output systems with non-zero initial conditions, and is applied to robust synchronization of FHN neurons under L 2 norm bounded disturbance and uncertainties. Furthermore, a robust adaptive nonlinear control law is developed, which is capable of handling variations in nonlinear part of synchronization error dynamics, without using any neural-network-based training-oriented adaptive scheme. The proposed control schemes ensure global synchronization with computational simplicity, easy way of design and implementation and avoiding extra measurements. The results obtained with the proposed control laws are verified through numerical simulations. Korea. His research interests include applied intelligent control of embedded systems, brain signal processing and design and instrumentation of brain computer interface and brain machine interface systems.
This paper discusses stabilization and tracking control using linear matrix inequalities for a cl... more This paper discusses stabilization and tracking control using linear matrix inequalities for a class of systems with Lipschitz nonlinearities. A nonlinear state feedback stabilization control is proposed for systems containing a more general case of Lipschitz nonlinearity. The main objective of the present study is to provide, for multi-input multi-output nonlinear systems, a tracking control approach based on nonlinear state feedback, which guarantees global asymptotic output and state tracking with zero tracking error in the steady state. Further, the tracking control is formulated for optimal disturbance rejection, using L 2 gain reduction based performance criteria. The proposed methodologies are illustrated herein using two simulation examples of chaotic and unstable dynamical systems.
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