Robust Stabilization of Discrete-Time Positive Switched Systems with Uncertainties and Average Dwell Time Switching

摘要

This paper studies robust problems of a class of discrete-time positive switched systems with uncertainties. The uncertainties refer to interval and polytopic uncertainties. By means of the multiple linear copositive Lyapunov functions approach, the robust stability of autonomous systems with average dwell time is solved. Then, the control synthesis of non-autonomous systems with average dwell time is discussed. State-feedback and output-feedback controllers are designed to guarantee the robust stabilization of the considered systems, respectively. All present conditions are solvable in terms of linear programming. Finally, several simulation examples are given to illustrate the validity of the design.