标题:Robust H∞ filtering for nonlinear discrete-time singular Markov jump systems
作者:Zhumahan, Kulan ;Shuping, Ma ;Chenghui, Zhang
通讯作者:Zhumahan, Kulan
作者机构:[Zhumahan, Kulan ;Shuping, Ma ] School of Mathematics, Shandong University, Jinan; 250100, China;[Chenghui, Zhang ] School of Control Science and Engi 更多
会议名称:Proceedings of the 33rd Chinese Control Conference, CCC 2014
会议日期:July 28, 2014 - July 30, 2014
来源:Proceedings of the 33rd Chinese Control Conference, CCC 2014
出版年:2014
页码:2487-2492
DOI:10.1109/ChiCC.2014.6897025
摘要:In this paper, ∞8filtering problem for a class of nonlinear uncertain discrete-time singular Markov jump systems is discussed. The nonlinear function satisfies a quadratic constraint. First, a linear matrix inequality (LMI) sufficient condition is developed which guarantees that the nominal filtering error system is regular, causal, has unique solution in a neighborhood of the equilibrium point, is stochastically stable and satisfies ∞8performance. In order to facilitate the design of the filter, with this condition, by using a series of matrix inequalities, another LMI sufficient condition is obtained which guarantees that the nominal filtering error system is regular, causal, has unique solution in a neighborhood of the equilibrium point, is stochastically stable and satisfies ∞8performance. Then, the design method of robust ∞8filter 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.
© 2014 TCCT, CAA.
收录类别:EI
资源类型:会议论文
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