NDLI: Robust H∞ filtering for nonlinear discrete-time singular Markov jump systems with time-varying delay

Content Provider	IEEE Xplore Digital Library
Author	Zhumahan Kulan Jimin Wang Shuping Ma
Copyright Year	2015
Description	Author affiliation: Dept. of Math., Changji Coll., Changji, China (Zhumahan Kulan) \|\| Sch. of Math., Shandong Univ., Jinan, China (Jimin Wang; Shuping Ma)
Abstract	In this paper, $H_{∞}$ filtering problem for a class of nonlinear uncertain discrete-time singular Markov jump systems with time-varying delay is discussed. The nonlinear function satisfies a quadratic constraint. First, a sufficient condition is given that the nominal filtering error system is regular, causal, has unique solution in a neighborhood of the equilibrium point, is stochastically stable and satisfies $H_{∞}$ performance. With this condition, by using a series of matrix inequalities, another sufficient condition is obtained that the nominal filtering error system is regular, causal, has unique solution in a neighborhood of the equilibrium point, is stochastically stable and satisfies $H_{∞}$ performance. Then, by using linear matrix inequality (LMI), the design method of robust $H_{∞}$ filter in the form of standard Markov jump system is given, and the filter designed can be of full or of reduced order. Finally, a numerical example is given to verify the effectiveness and correctness of the proposed method.
Starting Page	985
Ending Page	990
File Size	190383
Page Count	6
File Format	PDF
ISBN	9789881563897
ISSN	19341768
DOI	10.1109/ChiCC.2015.7259768
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Technical Committee on Control Theory, Chinese Association of Automation
Subject Keyword	time-varying delay Symmetric matrices Uncertainty robust H∞ filtering nonlinearity Markov processes Robustness Stability analysis Delays uncertainty Time-varying systems Discrete-time singular Markov jump systems
Content Type	Text
Resource Type	Article

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