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Gain-scheduled $\Cal H_{2}$ controller synthesis for linear parameter varying systems via parameter-dependent Lyapunov functions. (English) Zbl 1105.93032
Summary: This paper deals with the problem of gain-scheduled $\Cal H_{2}$ control for linear parameter-varying systems. The system state-space model matrices are affinely parameterized and the admissible values of the parameters and their rate of variation are supposed to belong to a given convex bounded polyhedral domain. Based on a parameter-dependent Lyapunov function, a linear matrix inequality methodology is proposed for designing a gain-scheduled state feedback $\Cal H_{2}$ controller, where the feedback gain is a matrix fraction of polynomial matrices with quadratic dependence on the scheduling parameters.

93B50Synthesis problems
93D30Scalar and vector Lyapunov functions
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