ABSTRACT
This paper is concerned with the problem of control based on input and output strict passivity for discrete-time switched systems in both linear and nonlinear texts. Firstly, a sufficient condition is derived by using multiple storage functions, Lie derivative and iteration technique, which can guarantee that the discrete-time switched nonlinear system is asymptotically stable and satisfies a prescribed
performance index. Secondly, the above result is extended to the discrete-time switched linear system based on the linear matrix inequality approach, and each sub-controller with an explicit expression is given. Finally, two numerical examples are given to illustrate the effectiveness and the applicability of the proposed method.
Disclosure statement
No potential conflict of interest was reported by the authors.