Decentralized finite-time H∞ filtering for interconnected Markovian jump system with interval mode-dependent delays

Zhaohui Chen, Huang Qi and Zhang Liu

Applied Mathematics and Computation, 2015, vol. 258, issue C, 138-154

Abstract: This paper concerns with the problem of finite-time H∞ filtering for a class of interconnected Markovian jump system with mode-dependent delays in the interconnection. Sufficient conditions guaranteeing the interconnected Markovian jump systems to be finite-time bounded are established by constructing an augmented Lyapunov–Krasovskii functional. The obtained conditions are delay-range-dependent and mode-dependent. Based on the results, the decentralized filter is proposed to guarantee the finite-time bounded and H∞ performance of the resulting augmented system for admissible disturbances. The desired filter parameters can be obtained via solving a group of linear matrix inequalities (LMIs). Finally, a numerical example is employed to illustrate the effectiveness of the proposed methods.

Keywords: Interconnected Markovian jump systems; Time-delay systems; Finite-time bounded; Decentralized filter; Linear matrix inequality (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:138-154

DOI: 10.1016/j.amc.2015.01.065

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