The robust H∞ control for discrete-time switched interval system

This paper discusses the robust H
_∞
control problem for discrete-time switched interval system. The multiple Lyapunov function method is combined with the Finsler's Lemma to generate several new results which provide extra degree of freedom for stability analysis and control synthesis. A new sufficient condition is obtained for the unforced discrete-time switched interval system, then, based on the above discussion, the robust H
_∞
control synthesis via state feedback is studied for the closed-loop switched interval system. Finally, two simulation examples are given to illustrate the validity of the results.