Static output feedback control for discrete-time switched systems via improved path-following method (Q1723553)

Summary: This paper focuses on the problems of static output feedback control and \(H_\infty\) controller design for discrete-time switched systems. Based on piecewise quadratic Lyapunov functions and a new linearization method, new sufficient conditions for system stability and \(H_\infty\) controller design are obtained. Then, an improved path-following algorithm is built to solve the problems. Finally, the merits and effectiveness of the proposed method are shown by two numerical examples.