Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 7, Pages 3502-3509Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2614911
Keywords
Switched system; mode-dependent average dwell time
Funding
- National Natural Science Foundation of China [61573069, 61573112, U1509217]
- National Basic Research Program of China [2011CB710706]
- Australian Research Council [DP140102180, LP140100471, LE150100079]
- Liaoning Provincial Natural Science Foundation, China [2015020053]
- Fundamental Research Funds for the Central Universities [DUT16RC(3)033]
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In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, new stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained.
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