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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) lemma and switched parameter-dependent Lyapunov functions,a switched full-order filter is designed such that the corresponding filtering error system is asymptotically stable 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 example is given to illustrate the effectiveness of the proposed method.
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) lemma and switched parameter-dependent Lyapunov functions, a switched full-order filter is designed such that the corresponding filtering error system is asymptotically stable and satisfies a prescribed finite frequency H_∞performance index. Compared with the existing full frequency approaches, the proposed finite frequency one received better results for the cases in which the frequency ranges of noises are known. A numerical example is given to illustrate the effectiveness of the proposed method.