H∞ control for a class of discrete-time switched systems with state constraints

This article investigates the H-infinity control problem for a class of discrete-time switched systems with state constraints. The state constraints are converted into state saturations by limiting the state in a unit hypercube. An improved average dwell time method is presented to take into account different decay rates of a Lyapunov function related to an active subsystem according to whether the saturations occur or not. Switched state feedback controllers are designed such that the closed-loop switched system subjects to state constraints is asymptotically stable and achieves a weighted L-2-gain. Sufficient conditions for H-infinity control of the switched system with state constraints are first derived. An application to a longitudinal motion of highly maneuverable aircraft technology vehicle is given to illustrate the applicability and the effectiveness of the proposed method.