New computation method for average dwell time of general switched systems and positive switched systems

Abstract

Average dwell time (ADT) of switched systems is dependent on two parameters: the decay coefficient of the subsystems and the increase coefficient of the Lyapunov functions of different subsystems, namely, λ and μ , respectively. In the literature, the two parameters are prescribed because popular computation techniques cannot deal with bilinear conditions easily. A new method for the computation of ADT is presented in this study, where a suggested optimisation algorithm is proposed to obtain a loose ADT condition. The advantages of the method lie in twofold: (i) the parameters λ and μ do not need to be given, and (ii) the presented ADT conditions are tractable to solve. The method is also extended to mode-dependent ADT (MDADT), ADT in asynchronous control, and ADT and MDADT of positive switched systems.