Robust H∞ output feedback control of discrete-time switched systems via a new linear matrix inequality formulation

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.