H/spl infin/ controller analysis and synthesis of piecewise discrete time linear systems

This article presents H_∞, controller analysis and design methods for piecewise discrete time linear systems based on a piecewise smooth Lyapunov function. It is shown that the H_∞, controller analysis or the synthesis problem can be casted as a convex optimaization problem, and the controller can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software. Simulation examples are also given to illustrate the advantage of the proposed approaches.