Average dwell-time approach to H∞ control of time-varying delay switched systems

This work investigates the problem of H
_∞
state controller synthesis of switched system with time-varying delay. Based on Lyapunov-krasovskii technique and the average dwell time approach (ADTA), a switched state feedback controller is created such that the system is exponentially stable and a weighted L
₂
-gain is accomplished. By solving a set of linear matrix inequalities (LMIs), controller parameters and the tolerable switching sequence, subject to the disposed average dwell time, can be taken. Two illustrative examples are proposed to demonstrate validity of the introduced method.