Filtering for uncertain 2-D discrete systems with state delays

Authors:
Ligang Wu;Zidong Wang;Huijun Gao;Changhong Wang
Affiliations:
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, PR China;Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, UK;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, PR China;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, PR China
Venue:
Signal Processing
Year:
2007

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Abstract

This paper is concerned with the problem of robust H"~ filtering for two-dimensional (2-D) discrete systems with time-delays in states. The 2-D systems under consideration are described in terms of the well-known Fornasini-Marchesini local state-space (FMLSS) models with time-delays. Our attention is focused on the design of a full-order filter such that the filtering error system is guaranteed to be asymptotically stable with a prescribed H"~ disturbance attenuation performance. Sufficient conditions for the existence of desired filters are established by using a linear matrix inequality (LMI) approach, and the corresponding filter design problem is then cast into a convex optimization problem that can be efficiently solved by resorting to some standard numerical software. Furthermore, the obtained results are extended to more general cases where the system matrices contain either polytopic or norm-bounded parameter uncertainties. A simulation example is provided to illustrate the effectiveness of the proposed design method.