期刊
AUTOMATICA
卷 54, 期 -, 页码 201-209出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2015.02.010
关键词
Persistent dwell-time switching; Quasi-time-dependent H-infinity filtering; Stability and l(2)-gain analysis; Switched systems
资金
- National Natural Science Foundation of China [61322301]
- National Natural Science Foundation of Heilongjiang [F201417]
- Fundamental Research Funds for the Central Universities, China [HIT.BRETIII.201211, HIT. BRETIV.201306]
- Australian Research Council [DP140102180, LP140100471]
- 111 Project [B12018]
- Deanship of Scientific Research (DSR), King Abdulaziz University [81-130-35-HiCi]
This paper is concerned with Ho. filtering for a class of switched linear systems in discrete-time domain. A more general class of switching signals, the persistent dwell-time (PDT) switching is considered rather than the dwell-time or average dwell-time switching often studied in the literature. The concept on a stage of switching in the type of PDT switching signals is introduced, and each stage consists of a period of persistence and a dwell-time portion in which no switching occurs. A proper Lyapunov function suitable to the PDT switching is constructed, which is not only mode-dependent but also quasi-time-dependent (QTD). Then, a QTD filter is designed such that the resulting filtering error system is globally uniformly asymptotically stable and has a guaranteed 11,0 noise attenuation performance. Certain techniques are explored such that the obtained performance index is of strictly non-weighted Hoc, norm, which contrasts with the weighted (or called exponential) ones, i.e., weaker noise attenuation in the existing literature of switched systems with average dwell-time. An example of mass-spring system is provided to show the validity and potential of the developed results. (C) 2015 Elsevier Ltd. All rights reserved.
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