Gain‐scheduled  H  ∞  filtering of parameter‐varying systems | Zendy

Zhou Shaosheng | Zendy; Zhang Baoyong | Zendy; Xing Zheng Wei | Zendy

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Gain‐scheduled H ∞ filtering of parameter‐varying systems

Author(s) -

Zhou Shaosheng,

Zhang Baoyong,

Xing Zheng Wei

Publication year - 2006

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.1062

Subject(s) - filter (signal processing) , control theory (sociology) , attenuation , mathematics , noise (video) , nonlinear system , transformation (genetics) , stability (learning theory) , class (philosophy) , exponential stability , filtering problem , linear fractional transformation , computer science , filter design , physics , robust control , control (management) , biochemistry , chemistry , quantum mechanics , artificial intelligence , machine learning , optics , image (mathematics) , computer vision , gene

This paper deals with the gain‐scheduled H ∞ filtering problem for a class of parameter‐varying systems. A sufficient condition for the existence of a gain‐scheduled filter, which guarantees the asymptotic stability with an H ∞ noise attenuation level bound for the filtering error system, is given in terms of a finite number of linear matrix inequalities (LMIs). The filter is designed to be parameter‐varying and have a nonlinear fractional transformation structure. A numerical example is presented to demonstrate the application of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.

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