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论文类型： 期刊论文

发表时间： 2020-01-25

发表刊物： INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录刊物： EI、SCIE

卷号： 30

期号： 2

页面范围： 567-586

ISSN号： 1049-8923

关键字： multiple discontinuous Lyapunov functions; slow/fast mode-dependent average dwell time; stability; switched system; l(2)-gain

摘要： This paper addresses stability and l(2)-gain for discrete-time switched systems with unstable modes based on slow/fast mode-dependent average dwell time (MDADT) switching strategies. Firstly, by employing a class of multiple discontinuous Lyapunov functions (MDLFs) and developing a kind of alternative switching signals, the sufficient conditions on stability are established for the system without external disturbances under a slow/fast MDADT switching scheme with a tighter bounds on the dwell time. Furthermore, by defining indicator functions and exploring the features of slow/fast MDADT switching, the weighted l(2)-gain conditions are achieved for the system with external disturbances. Particularly, the criteria of stability and l(2)-gain are also established for the corresponding discrete-time switched linear systemswith unstable modes via the MDLFs method and the slow/fast MDADT switching strategy. Finally, two numerical examples are presented to illustrate the advantages of the proposed methods.