File(s) not publicly available

Overlapping mode-dependent H-infinity filtering of discrete-time Markov jump linear systems

conference contribution
posted on 06.12.2017, 00:00 authored by Xiao Hua GeXiao Hua Ge, Qing-Long HanQing-Long Han, Xiefu JiangXiefu Jiang
This 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

1

End Page

6

Number of Pages

6

Start Date

01/01/2013

Finish Date

01/01/2013

ISBN-13

9781467351942

Location

Taipei, Taiwan

Publisher

IEEE

Place of Publication

Piscataway, NJ

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

Name of Conference

IEEE International Symposium on Industrial Electronics