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Reduced-Order Set-Valued Observer Design for High Order Uncertain Linear System with Disturbance
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摘要
For a class of high order uncertain linear system affected by parameter variations and disturbance, a reduced order observer is considered. A set-valued observer is designed for the main part of reduced-order observer, which estimates a convex cone containing the real states and fault states. The theoretical foundation of design of set-valued observer is uniformly boundness theory. By constructing a set-induced Lyapunov function, it can be proven that the estimation error converges to a compact set. Introducing the feedback control, the simulation figure shows that the estimation error converges to zero.
For a class of high order uncertain linear system affected by parameter variations and disturbance, a reduced order observer is considered. A set-valued observer is designed for the main part of reduced-order observer, which estimates a convex cone containing the real states and fault states. The theoretical foundation of design of set-valued observer is uniformly boundness theory. By constructing a set-induced Lyapunov function, it can be proven that the estimation error converges to a compact set. Introducing the feedback control, the simulation figure shows that the estimation error converges to zero.
引文
[1]Luenberger,D.G,Observers for Multivariable Systems,IEEE Trans.Autom.Control,AC-11:190-197,1966.
    [2]Norbert Wiener,Extrapolation,Interpolation and Smoothing of Stationary Time Series with Engineering Applications,MIT Technology Press:Cambridge,MA,1949:161-163.
    [3]Davis,M.H.A.and Marcus,S.I.,An introduction to Nonlinear Filtering,Stochastic Systems:the Mathematical of Filtering and Identification and Applications,Springer,Dordrecht,1981:53–76.
    [4]Robert F.Stengel,Optimal Control and Estimation,Dover Publications.Inc,New York,2012.
    [5]John L.Crassidias,John L.Junkins,Optimal Estimation of Dynamic Systems,Second Edition,CRC Press,2011:135-142.
    [6]Ligang Wu,Peng Shi,and Huijun Gao,State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems,IEEE Trans.Autom.Control,55(5):1213-1219,2010.
    [7]Bo Shen,Zidong Wang,and Xiaohui Liu,Bounded Hf Synchronization and State Estimation for Discrete TimeVarying Stochastic Complex Networks Over a Finite Horizon.IEEE Trans.Neural Netw,22(1):145-157,2011.
    [8]Xiaodong Zhang,Marios M.Polycarpou,and Thomas Parisini.Fault Diagnosis of a class of Nonlinear Uncertain Systems with Lipschitz Nonlinearities using Adaptive Estimation,Automatica,46(2):290-299,2010.
    [9]Nils Pletschen,and Patrick Badur,Nonlinear State Estimation in Suspension Control Based on Takagi-Sugeno Model,The International Federation of Automatic Control,11231-11237,2014.
    [10]Shamma,J.S.and Tu,K.-Y,Set-valued Observers and Optimal Disturbance Rejection,IEEE Trans.Autom.Control,44:253-264,1999.
    [11]Voulgaris,P,On Optimal lf to lf Filtering,Automatica,31:489-495,1995.
    [12]Nagpal,K.M.and Khargonekar,P.P.,Filtering and Smoothing in An Hf Setting,IEEE Trans.Autom.Control,36:152-166,1991.
    [13]Bhattacharyya,S.P.,The Structure of Robust Observers,IEEE Trans.Autom.Control,21:581-588,1976.
    [14]Akpan,E.,Robust Observer for Uncertain Linear Systems,Proceedings of American Control Conference,6:4220-4221,2001.
    [15]Xing Gang Yan,Sarah K,Spurgeon,and Chrstopher Edwards,Slide Mode Control for Time-varying Delayed Systems Based on A Reduced-order Observer,Automatica,46(8):1354-1362,2010.
    [16]Zhongkui Li,Xiangdong Liu,and Peng Lin,et al,Consensus of Linear Multi-agent Systems with Reduced-order Observer Based Protocols,Syst.Control Lett,60(7):510-516,2011.
    [17]Bingbing Xu,Junwei Li,and Lixin Gao,Distributed Reduced-Order Observer-Based Consensus Control of Discrete-time Linear Multi-agent Systems,IFAC Proceedings Volumes,46(20):124-129,2013.
    [18]Long Ton,and Zhengtao Ding,Reduced-order Observer Design of Multi-output Nonlinear Systems with Application to A Circadian Model,Transactions of the Institute of Measurement and Control,35(4):417-425,2012.
    [19]Avijit Banerjee,Parijat Bhowmick,and Gourhari Das.,Construction of Unknown Input Reduced Order Observer using Generalized Matrix Inverse and Application to Missile Autopilot,International Journal of Engineering Research and Development,4(2):15-18,2012.
    [20]D.Boutat,L.Boutat-Baddas,and M.Darouach,A New Reduced-order Observer Normal Form for Nonlinear Discrete Time Systems,Syst.Control Lett,61(10):1003-1008,2012.
    [21]Wei Zhang,Housheng Su,and Hongwei Wang,et al,Fullorder and Reduced-order Observers for One-sided Lipschitz Nonlinear Systems using Riccati Equations,Communications in Nonlinear Science and Numerical Simulation,17(12):4968-4977,2012.
    [22]Verica Radisavljevic-Gajic,Linear Observers Design and Implemention,Conference of the American Society for Engineering Education,1-6,2014.
    [23]G.Strang,Introduction to Linear Algebra,5th edition,Wellesley Cambridge Press,2016.
    [24]Luenberger.D.G.,Optimization by Vector Space Methods,Wiley,New York,1969.
    [25]Blanchini,F,Ultimate Boundedness Control for Uncertain Discrete-Time Systems via Set-Induced Lyapunov Functions,IEEE Trans.Autom.Control,39(2):428-433,1991.
    [26]Blanchini,F,Feedback control for linear time-invariant system with state and control bounds in the presence of disturbance,IEEE Trans.Autom.Control,35:1231-1234,1990.

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