New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay
New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay
- Author(s): J. Qiu ; G. Feng ; J. Yang
- DOI: 10.1049/iet-cta:20070361
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- Author(s): J. Qiu 1 ; G. Feng 2 ; J. Yang 3
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View affiliations
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Affiliations:
1: Department of Manufacturing Engineering and Engineering Management, University of Science and Technology of China & City University of Hong Kong Joint Advanced Research Center, Suzhou, People's Republic of China
2: Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong
3: Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei, People's Republic of China
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Affiliations:
1: Department of Manufacturing Engineering and Engineering Management, University of Science and Technology of China & City University of Hong Kong Joint Advanced Research Center, Suzhou, People's Republic of China
- Source:
Volume 2, Issue 9,
September 2008,
p.
795 – 806
DOI: 10.1049/iet-cta:20070361 , Print ISSN 1751-8644, Online ISSN 1751-8652
The problem of delay-dependent robust energy-to-peak filtering design for a class of discrete-time switched linear systems with a time-varying state delay and polytopic uncertainties is revisited. The objective is to design a homogeneous switched linear filter guaranteeing the exponential stability of the resulting filtering error system with a minimised robust energy-to-peak disturbance attenuation level under average dwell-time switching scheme. Based on a novel delay and parameter-dependent discontinuous switched Lyapunov–Krasovskii functional combined with Finsler's lemma, a new sufficient condition for robust exponential stability and energy-to-peak performance analysis is first derived and then the corresponding filter synthesis is developed. It is shown that the filter parameters can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.
Inspec keywords: robust control; time-varying systems; discrete time systems; linear systems; uncertain systems; asymptotic stability; linear matrix inequalities; delays; Lyapunov methods; filtering theory
Other keywords:
Subjects: Time-varying control systems; Discrete control systems; Signal processing theory; Algebra; Distributed parameter control systems; Stability in control theory
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