Brief paper: Parameter-dependent robust H∞ filtering for uncertain discrete-time systems

Authors:
Jinhui Zhang;Yuanqing Xia;Peng Shi
Affiliations:
Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China;Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China;Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper is concerned with the problem of parameter-dependent H"~ filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H"~ performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.