Robust Tracking and Regulation Control of Uncertain Piecewise Linear Hybrid Systems
نویسندگان
چکیده
In this paper, a class of uncertain, discrete-time, piecewise linear hybrid systems affected by both parameter variations and exterior disturbances is introduced. The robust tracking and regulation control problem for such uncertain piecewise linear hybrid systems is investigated. The main question is whether there exists a controller such that the closed-loop system exhibits desired behavior under dynamic uncertainties and exterior disturbances. If a specified behavior can be forced on the plant by a control mechanism, then it is called attainable. We present a method for checking attainability that employs the predecessor operator and backward reachability analysis, and introduce a procedure for robust tracking and regulation controller design that uses linear programming techniques. This procedure is then used to solve the robust stabilization problem for uncertain piecewise linear hybrid systems.
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