Authors: Ying-Tao Sun; Rui Wang; Yue-E Wang
Addresses: Research Centre of Information and Control, Dalian University of Technology, Dalian,116024, China. ' School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China. ' State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China
Abstract: This paper investigates the problem of asynchronously switched stabilising control for a class of switched linear systems with time delay. When there exists asynchronous switching between the controllers and the subsystems, based on the average dwell time (ADT) method, a sufficient condition for exponential stability is developed for a class of switching signals. The condition is delay-dependent and is given in terms of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the proposed method.
Keywords: asynchronous switching; switched delay systems; Lyapunov functional; average dwell time; ADT; stabilising control; switched linear systems; time delay; linear matrix inequalities; LMIs.
International Journal of Systems, Control and Communications, 2012 Vol.4 No.3, pp.195 - 207
Published online: 21 Aug 2012 *Full-text access for editors Access for subscribers Purchase this article Comment on this article