Robust State Feedback Stabilization of Uncertain Discrete-Time Switched Linear Systems Subject to Actuator Saturation

Abstract EN

The robust stabilization problem is investigated for a class of discrete-timeswitched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the multiple Lyapunov functions method.

A switching law and a statefeedback law are designed to asymptotically stabilize the system with a large domain ofattraction.

Based on the multiple Lyapunov functions method, sufficient conditions are obtained for robust stabilization.

Furthermore, when some parameters are given in advance,the state feedback controllers and the estimation of domain of attraction are presented bysolving a convex optimization problem subject to a set of linear matrix inequalities (LMI)constraints.

A numerical example is given to show the effectiveness of the proposed technique.