Brief paper: H∞ filtering for 2D Markovian jump systems

Authors:
Ligang Wu;Peng Shi;Huijun Gao;Changhong Wang
Affiliations:
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China;Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, United Kingdom and Faculty of Health, Engineering and Science, Victoria University, Melbourne, Vic 8001, Australia;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper is concerned with the problem of H"~ filtering for 2D discrete Markovian jump systems. The mathematical model of 2D jump systems is established upon the well-known Roesser model. Our attention is focused on the design of a full-order filter, which guarantees the filtering error system to be mean-square asymptotically stable and has a prescribed H"~ disturbance attenuation performance. Sufficient conditions for the existence of a desired filter are established in terms of linear matrix inequalities (LMIs), and the corresponding filter design is cast into a convex optimization problem which can be efficiently solved by using commercially available numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method.