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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...
This paper presents an output feedback controller design method for piecewise discrete time linear systems based on a piecewise Lyapunov function and a state observer. It is shown that the resulting closed loop system is globally stable and the controller can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software. In other words,...
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