Filter design for LPV systems using biquadratic Lyapunov functions

This paper considers gain-scheduled H/sub /spl infin// and H/sub 2/ filters for linear parameter-varying (LPV) systems and proposes methods for their design using biquadratic Lyapunov functions. Robust filter design is included in our formulation as a special case. The LPV systems are represented with affine matrices of parameters in their state space representations, and the parameters are supposed to be in a given convex region. The proposed design methods are formulated in terms of linear matrix inequalities (LMIs) that are affine functions of parameters.