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Robust H_∞ filter design for continuous-time nonhomogeneous markov jump systems
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摘要
This paper studies the problem of H_∞ filter design for continuous-time nonhomogeneous markov jump systems.The time-varying transition probabilities in continuous-time domain are considered to be in a polytopic type. By constructing a Lyapunov function and fully considering the information of filter parameters, the stochastic stability and a prescribed H_∞ performance index are guaranteed in terms of Linear Matrix Inequalities(LMIs). A numerical example and an example of a mechanical system are provided to illustrate the feasibility and the effectiveness of the proposed approach.
This paper studies the problem of H_∞ filter design for continuous-time nonhomogeneous markov jump systems.The time-varying transition probabilities in continuous-time domain are considered to be in a polytopic type. By constructing a Lyapunov function and fully considering the information of filter parameters, the stochastic stability and a prescribed H_∞ performance index are guaranteed in terms of Linear Matrix Inequalities(LMIs). A numerical example and an example of a mechanical system are provided to illustrate the feasibility and the effectiveness of the proposed approach.
引文
[1]D.He,H.Huang,and Q.Chen,Quasi-min-max MPC for constrained nonlinear systems with guaranteed input-to-state stability,Journal of the Franklin Institute,351(6):3405–3423,2014.
    [2]M.Mariton,Jump linear systems in automatic control.New York:M.Dekker,1990.
    [3]Y.Chen,and W.Zheng,H_∞ filter design of stochastic Markovian jump delay systems,in Proceedings of 24th Control and Decision Conference,2012:417–422.
    [4]X.Zhao,and Q.Zeng,Delay-dependent stability analysis for Markovian jump systems with interval time-varying-delays,International Journal of Automation and computing,7(2):224–229,2010.
    [5]Y.Yin,P.Shi,and F.Liu,Observer-based H∞control on nonhomogeneous Markov jump systems with nonlinear input,International Journal of Robust and Nonlinear Control,24(13):1903–1924,2014.
    [6]S.Aberkane,Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems,Systems&Control Letters,60(3):156–160,2011.
    [7]S.Xu,T.Chen,and J.Lam,Robust H∞filtering for a class of nonlinear discrete-time Markovian jump systems,Journal of Optimization Theory and Applications,122(3):651–668,2004.
    [8]X.Song,Y.Men,J.Zhou,J.Zhao,and H.Shen,Eventtriggered H∞control for networked discrete-time Markov jump systems with repeated scalar nonlinearities,Applied Mathematics and Computation,298:123–132,2017.
    [9]H.Tan,M.Hua,J.Chen,and J.Fei,Stability analysis of stochastic Markovian switching static neural networks with asynchronous mode-dependent delays,Neurocomputing,151:864–872,2015.
    [10]Y.Chen,A.Xue,and X.Zhao,Novel stability analysis for delay Markovian jump systems,in Proceedings of 7th Asian Control Conference,2009:408–411.
    [11]H.Shen,Z.Wu,and J.Park,Reliable mixed passive and H∞filtering for semi-Markov jump systems with randomly occurring uncertainties and sensor failures,International Journal of Robust and Nonlinear Control,25(17):3231-3251,2015.
    [12]Y.Cao,and J.Lam,Robust H∞control of uncertain Markovian jump systems with time-delay,IEEE Trans.on Automatic Control,45(1):77–83,2000.
    [13]L.Zhang,and E.Boukas,Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities,Automatica,45(2):463–468,2009.
    [14]G.Wang,P.Zhang,and Q.Zhang,A generalized robust H∞filtering for singular Markovian jump systems and its applications,International Journal of Robust and Nonlinear Control,24(18):3491–3507,2014.
    [15]Y.Ding,H.Liu,and K.Shi,H_∞ state-feedback controller design for continuous-time nonhomogeneous Markov jump systems,Optimal Control Applications and Methods,38(1):133–144,2017.
    [16]Y.Ding,and H.Liu,Stability analysis of continuous-time Markovian jump time-delay systems with time-varying transition rates,Journal of the Franklin Institute,353(11):2418–2430,2016.
    [17]H.Gao,and T.Chen,H∞Estimation for Uncertain Systems With Limited Communication Capacity,IEEE Trans.on Automatic Control,52(11):2070–2084,2007.

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