Finite frequency H∞ filtering for uncertain discrete-time switched linear systems |
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Authors: | Dawei Ding Guanghong Yang |
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Institution: | [1]College of Information Science and Engineering, Northeastern University, Shenyang 110004, China [2]Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China |
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Abstract: | This paper is concerned with the problem of robust H_∞ filtering for discrete-time switched linear systems with polytopic uncertainties in the finite frequency domain. Based on the generalized Kalman-Yakubovich-Popov (GKYP) iemma and switched parameter-depen-dent Lyapunov functions, a switched full-order filter is designed such that the corresponding filtering error system is asymptotically sta-ble and satisfies a prescribed finite frequency H_∞ performance index. Compared with the existing full frequency approaches, the proposed finite frequency one receives better results for the cases in which the frequency ranges of noises are known. A numerical exam-ple is given to illustrate the effectiveness of the proposed method. |
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Keywords: | Switched systems Filtering Finite frequency GKYP lemma Linear matrix inequalities (LMIs) |
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