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Overlapping mode-dependent H-infinity filtering of discrete-time Markov jump linear systems
conference contribution
posted on 2017-12-06, 00:00 authored by Xiao Hua GeXiao Hua Ge, Qing-Long HanQing-Long Han, Xiefu JiangXiefu JiangThis paper deals with the problem of overlapping mode-dependent H ∞ filter design for discrete-time Markovian jump linear systems subject to randomly overlapping switching laws and incomplete transition probabilities. By employing a new overlapping decomposition method, the original Markovian jump linear system is reformulated by several local overlapping switched groups governed by some local overlapping Markov chains and a high-level homogeneous Markov chain. The proposed framework is shown to be more general, which covers the traditional widely studied Markovian jump linear systems as a special case. An overlapping local-and group-mode-dependent H ∞ filter is proposed. Based on the stochastic Lyapunov functional approach and the free weighting matrix technique, a new sufficient condition for the existence of such desired filter is established to ensure the stochastic stability and to guarantee a prescribed H∞ noise attenuation performance for the resulting filter error system. An illustrative example is given to show the effectiveness and feasibility of the proposed method.
Funding
Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)
History
Start Page
1End Page
6Number of Pages
6Start Date
2013-01-01Finish Date
2013-01-01ISBN-13
9781467351942Location
Taipei, TaiwanPublisher
IEEEPlace of Publication
Piscataway, NJPublisher DOI
Full Text URL
Peer Reviewed
- Yes
Open Access
- No
External Author Affiliations
Centre for Intelligent and Networked Systems (CINS); Hangzhou Dianzi University; School of Engineering and Technology (2013- ); TBA Research Institute;Era Eligible
- Yes