Journal
AUTOMATICA
Volume 46, Issue 5, Pages 953-958Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.02.021
Keywords
Asynchronous switching; Average dwell time; Stabilizing control; Switched linear systems
Funding
- National Natural Science Foundation of China [60904001/F030107, 90916005/A0202]
- Doctoral Fund of Ministry of Education of China [20092302120071]
- China Postdoctoral Science Foundation [20090460069]
- Outstanding Youth Science Fund of China [60825303]
- 973 Project in China [200903320600]
- Heilongjiang Postdoctoral Science Foundation, China
- Overseas Talents Foundation of Harbin Institute of Technology
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This paper concerns the asynchronously switched control problem for a class of switched linear systems with average dwell time (ADT) in both continuous-time and discrete-time contexts. The so-called asynchronous switching means that the switchings between the candidate controllers and system modes are asynchronous. By further allowing the Lyapunov-like function to increase during the running time of active subsystems, the extended stability results for switched systems with ADT in nonlinear setting are first derived. Then, the asynchronously switched stabilizing control problem for linear cases is solved. Given the increase scale and the decrease scale of the Lyapunov-like function and the maximal delay of asynchronous switching, the minimal ADT for admissible switching signals and the corresponding controller gains are obtained. A numerical example is given to show the validity and potential of the developed results. (C) 2010 Elsevier Ltd. All rights reserved.
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