Parameter-dependent filter design with guaranteed ℋ∞ performance

H. Gao; J. Lam; P. Shi; C. Wang

Parameter-dependent filter design with guaranteed ℋ_∞ performance

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Parameter-dependent filter design with guaranteed ℋ_∞ performance

Author(s): H. Gao ; J. Lam ; P. Shi ; C. Wang
DOI: 10.1049/ip-cta:20045050

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Author(s): H. Gao ¹ ; J. Lam ² ; P. Shi ³ ; C. Wang ¹
- Affiliations: 1: Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, People's Republic of China
  2: Department of Mechanical Engineering, University of Hong Kong, Hong Kong, People's Republic of China
  3: School of Technology, University of Glamorgan, Pontypridd, UK
Source: Volume 152, Issue 5, September 2005, p. 531 – 537
DOI: 10.1049/ip-cta:20045050 , Print ISSN 1350-2379, Online ISSN 1359-7035

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In the paper, the problem of ℋ_∞ filtering for a class of linear uncertain systems is studied. The parameter uncertainties are assumed to reside in a polytope. The paper is focused on the design of a parameter-dependent filter which guarantees the filtering error system to be asymptotically stable and has a prescribed ℋ_∞ performance. By employing a parameter-dependent Lyapunov function approach, sufficient conditions are established for the existence of the desired filters in terms of linear matrix inequalities, which can be handled easily by using the available toolbox. Both continuous- and discrete-time cases are investigated. It is shown, via a numerical example, that the proposed filter design methods are more effective and less conservative than some existing results.

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