On mode-dependent H∞ filtering for network-based discrete-time systems

Authors:
Lin Li;Fei Li;Zexu Zhang;Jingcheng Xu
Affiliations:
Department of Control Science and Engineering, School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;China Automotive Technology & Research Center, Tianjin 300162, China;Deep Space Exploration Research Center, School of Astronautics, Harbin Institute of Technology, 150001, China and Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC ...;School of Astronautics, Harbin Institute of Technology, 150001, China
Venue:
Signal Processing
Year:
2013

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Abstract

This paper is devoted to the H"~ filtering problem for network-based discrete-time systems subject to network communication constraints. The objective is to design a network-based full-order or reduced-order filter, such that the resulting filtering error system is mean-square stable, while a prescribed H"~ disturbance attenuation levels is satisfied. A Markov chain is used to describe the network-induced delays. Then, a mode-dependent linear filter is considered, whose parameters are scheduled by the network-induced delays. By converting the partially unknown transition probability matrix to be a known convex description, and using the slack matrix approach, a new less conservative mode-dependent sufficient condition for the existence of the desired filter is derived to guarantee that the filtering error system is stochastically stable while satisfying a given H"~ performance. Based on this condition, the filter design method is proposed, and by solving some convex linear matrix inequalities, the explicit of the desired filer gain matrices is also given. Finally, a practical example is included to illustrate the effectiveness of the proposed method.