Abstract
This paper presents an Hinfin state feedback controller design method for discrete-time piecewise affine (PWA) systems based on a piecewise quadratic Lyapunov function, and the partition information of the PWA systems is taken into account to reduce the design conservatism. Each polytopic operating region is outer approximated by a union of ellipsoids, then the minimum problem of the Hinfin performance index for PWA systems can be cast as a convex optimization problem involving linear matrix inequalities, which can be solved very efficiently. A simulation example is also given to illustrate the advantage of the proposed approach.
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