Journal
SYSTEMS & CONTROL LETTERS
Volume 61, Issue 12, Pages 1151-1156Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2012.08.010
Keywords
Asynchronously switched control; Stability; Switched systems
Funding
- National Natural Science Foundation of China [61203123, 60904001, 61174058]
- National Key Basic Research Program (973) [2012CB215202]
- 111 Project [B12018]
- Ministry of Education of China [20092302120071]
- Fundamental Research Funds for the Central Universities, China [11CX04044A]
- Shandong Provincial Natural Science Foundation, China [ZR2012FQ019]
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The stabilization problem for a class of switched linear systems with average dwell time (ADT) switching is reinvestigated in this paper. State-feedback controllers are designed, which takes the more practical case, asynchronous switching, into account, where the so-called asynchronous switching indicates that the switchings between the controllers and the system modes are in the presence of a time delay. By combining the asynchronous switching, an improved stabilization approach is given, and existence conditions of the controllers associated with the corresponding ADT switching are formulated in terms of a set of linear matrix inequalities. A numerical example is given to show the validity and potential of the obtained theoretical results. (C) 2012 Elsevier B.V. All rights reserved.
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