Open AccessNew computation method for average dwell time of general switched systems and positive switched systems
Author(s) -
Zhang Junfeng,
Li Miao,
Zhang Ridong
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5287
Subject(s) - dwell time , computation , control theory (sociology) , asynchronous communication , lyapunov function , mathematics , computer science , control (management) , algorithm , nonlinear system , artificial intelligence , clinical psychology , medicine , computer network , physics , quantum mechanics
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.