Journal
ISA TRANSACTIONS
Volume 53, Issue 2, Pages 367-372Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2013.11.019
Keywords
Asymptotic stability; Asynchronous control; Mode-dependent average dwell time
Categories
Funding
- National Natural Science Foundation of China [61374117, 61004048, 61174137, 61104064]
- General Research Fund of Hong Kong Special Administrative Region Government [CityU 112809]
- National Science Foundation of Jiang Su Province [BK2010493]
- 973 project [2011CB707000]
- Science and Technology Department of Sichuan Province [2013GZ0080]
- China Postdoctoral Science Foundation [2012M510135]
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This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where asynchronous means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
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