Exponential H-infinity filtering for switched linear systems with interval time-varying delay

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Wang, Dong, Wang, Wei and Shi, Peng (2009) Exponential H-infinity filtering for switched linear systems with interval time-varying delay. International Journal of Robust and Nonlinear Control, 19 (5). pp. 532-551. ISSN 1049-8923

Abstract

This paper deals with the problem of exponential H∞ filtering for a class of continuous-time switched linear system with interval time-varying delay. The time delay under consideration includes two cases: one is that the time delay is differentiable and bounded with a constant delay-derivative bound, whereas the other is that the time delay is continuous and bounded. Switched linear filters are designed to ensure that the filtering error systems under switching signal with average dwell time are exponentially stable with a prescribed H∞ noise attenuation level. Based on the free-weighting matrix approach and the average dwell technology, delay-dependent sufficient conditions for the existence of such a filter are derived and formulated in terms of linear matrix inequalities (LMIs). By solving that corresponding LMIs, the desired filter parameterized matrices and the minimal average dwell time are obtained. Finally, two numerical examples are presented to demonstrate the effectiveness of the developed results

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4668
DOI https://doi.org/10.1002/rnc.1334
Official URL http://onlinelibrary.wiley.com/doi/10.1002/rnc.133...
Subjects Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID17671, exponential, H-infinity filtering, switched linear systems, time-varying delay, average dwell time
Citations in Scopus 143 - View on Scopus
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