Robust H_∞ Output Feedback Control of Discrete-time Switched Systems Via a New Linear Matrix Inequality Formulation

摘要

The robust H_∞ output feedback control problem for uncertain discrete-time switched systems is investigated. A new linear matrix inequality(LMI) formulation of robustly stable and H performance for the switched systems under arbitrary switching is obtained by using switched Lyapunov function method. The new LMI parameterized by a scalar variable which allows extra degree of freedom for design problems and stability analysis, thus, a less conservative stability condition is established. Based on the result, a dynamic output feedback controller is developed for the discrete-time switched systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed result in this paper.