Abstract
This paper deals with the robust H ∞ filtering for discrete singular systems with jump parameters and interval time-varying delay, whose system mode is transmitted through an unreliable network. The class of systems under consideration is more general and covers the singular jump systems with mode-dependent and mode-independent as two special cases, over networks a novel delay-dependent and partially mode-dependent filter is established via using a mode-dependent Lyapunov function and a finite sum inequality based on quadratic terms. The corresponding filter parameters can be obtained by solving a set of linear matrix inequalities without decomposing the original system matrix. The proposed linear robust filter ensuring that the filtering error singular jump system is to be regular, causal, stochastically stable and satisfies H ∞ performance. In addition, two numerical examples are given to illustrate the effectiveness of the proposed approach.
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Recommended by Associate Editor Shengyuan Xu under the direction of Editor Myotaeg Lim.
This paper was supported by the National Natural Science Foundation of China and Grant No.61174066, also supported by the Jiangsu Overseas Research & Training Program for University Prominent Young and Middle aged teachers & Presidents.
Yongbo Lai received his M.S. degree from the School of Internet of Things Engineering, Jiangnan University, China, in 2007. He is currently a lecturer at the Jiangsu College of Information Technology, Jiangsu, China. His current research interests include robust control and networked control.
Guoping Lu received his B.S. degree from the Department of Applied Mathematics, Chengdu University of Science and Technology, China in 1984, and his M.S. and Ph.D. degrees from the Department of Mathematics, East China Normal University, China, in 1989 and 1998, respectively. He is currently a Professor at the Jiangsu College of Information Technology, Jiangsu, China. His current research interests include nonlinear control, robust control and networked control.
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Lai, Y., Lu, G. Over networks H ∞ filtering for discrete singular jump systems with interval time-varying delay. Int. J. Control Autom. Syst. 12, 1187–1196 (2014). https://doi.org/10.1007/s12555-013-0461-6
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DOI: https://doi.org/10.1007/s12555-013-0461-6