AIAA Guidance, Navigation, and Control Conference and Exhibit, Jun 22, 2003
Flow control can potentially impact many engineering applications; however, the design of such co... more Flow control can potentially impact many engineering applications; however, the design of such controllers is extremely challenging. Some of the reasons for the challenging nature of this control design problem is the complexity of the uid dynamics, inherent nonlinearity and the associated numerical cost of computation. The degree of dicult y is increased when the boundary conditions or functional parameters change through control intervention during the normal evolution of the system. This paper presents a method to model uid dynamics and design associated o w controllers using the linear parameter-varying framework. The formulation of a model which is amenable to control design makes use of proper orthogonal decomposition to derive reduced-order representations of the open-loop uid dynamics. The resulting representations are shown to depend anely on a parameter, which is dened as the product of the Strouhal number and the Reynolds number, in a linear parameter-varying fashion. Controllers are then designed for this special model that are scheduled to work across a range of the parameter. A disturbance rejection problem is solved to demonstrate how this method generates controllers that achieve desired levels of performance even acting on the full-order nonlinear system.
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Papers by Rick Lind