Zhi-Sheng Chen, Yong He and Min Wu. Robust Fuzzy Tracking Control for Nonlinear Networked Control Systems with Integral Quadratic Constraints. International Journal of Automation and Computing, vol. 7, no. 4, pp. 492-499, 2010. https://doi.org/10.1007/s11633-010-0532-6
Citation: Zhi-Sheng Chen, Yong He and Min Wu. Robust Fuzzy Tracking Control for Nonlinear Networked Control Systems with Integral Quadratic Constraints. International Journal of Automation and Computing, vol. 7, no. 4, pp. 492-499, 2010. https://doi.org/10.1007/s11633-010-0532-6

Robust Fuzzy Tracking Control for Nonlinear Networked Control Systems with Integral Quadratic Constraints

doi: 10.1007/s11633-010-0532-6

supported by National Natural Science Foundation of China (No.60574014, No.60425310);Doctor Subject Foundation of China (No.200805330004);Program for New Century Excellent Talents in University (No.NCET-06-0679);Natural Science Foundation of Hunan Province of China (No.08JJ1010);Science Foundation of Education Department of Hunan Province (No.08C106)

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  • Author Bio:

    Yong He received the B.Sc.and M.Sc.

  • Corresponding author: Zhi-Sheng Chen received the M.Sc. and Ph.D.
  • Received Date: 2009-10-09
  • Rev Recd Date: 2009-11-30
  • Publish Date: 2010-11-01
  • This paper investigates the robust tracking control problem for a class of nonlinear networked control systems (NCSs) using the Takagi-Sugeno (T-S) fuzzy model approach.Based on a time-varying delay system transformed from the NCSs,an augmented Lyapunov function containing more useful information is constructed.A less conservative sufficient condition is established such that the closed-loop systems stability and time-domain integral quadratic constraints (IQCs) are satisfied while both time-varying networkinduced delays and packet losses are taken into account.The fuzzy tracking controllers design scheme is derived in terms of linear matrix inequalities (LMIs) and parallel distributed compensation (PDC).Furthermore,robust stabilization criterion for nonlinear NCSs is given as an extension of the tracking control result.Finally,numerical simulations are provided to illustrate the effectiveness and merits of the proposed method.


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  • [1]
    F.L.Lian,J.Moyne,D.Tilbury.Network design consid-eration for distributed control systems.IEEE Transactions on Control System Technology,vol.10,no.2,pp.297–307, 2002.
    J.Nilsson.Real-time Control Systems with Delays,Ph.D. dissertation,Lund Institute of Technology,Lund,Sweden, 1998.
    G.C.Walsh,H.Ye,L.G.Bushnell.Stability analysis of networked control systems.IEEE Transactions on Control System Technology,vol.10,no.3,pp.438–446,2002.
    D.S.Kim,Y.S.Lee,W.H.Kwon,H.S.Park.Maximum al-lowable delay bounds of networked control systems.Control Engineering Practice,vol.11,no.11,pp.1301–1313,2003.
    W,Zhang,M.S.Branicky,S.M.Phillips.Stability of net-worked control systems.IEEE Control Systems Magazine, vol.21,no.1,pp.84–99,2001.
    D.Yue,Q.L.Han,J.Lam.Network-based robust H con-trol of systems with uncertainty.Automatica,vol.41,no.6, pp.999–1007,2005.
    C.Peng,Y.C.Tian.Networked H control of lin-ear systems with state quantization.Information Sciences, vol.177,no.24,pp.5763–5774,2007.
    B.Tang,G.P.Liu,W.H.Gui.Improvement of state feed-back controller design for networked control systems.IEEE Transactions on Circuits and Systems II:Express Briefs, vol.55,no.5,pp.464–468,2008.
    X.F.Jiang,Q.L.Han,S.R.Liu,A.K.Xue.A new H stabilization criterion for networked control systems.IEEE Transactions on Automatic Control,vol.53,no.4,pp.1025-1032,2008.
    O.C.Imer,S.Yu¨ksel,T.Ba?sar.Optimal control of LTI systems over unreliable communication links.Automatica, vol.42,no.9,pp.1429–1439,2006.
    Z.D.Wang,F.W.Yang,D.W.C.Ho,X.H.Liu.Ro-bust H control for networked systems with random packet losses.IEEE Transactions on Systems,Man,Cybernetics— Part B:Cybernetics,vol.37,no.4,pp.916–924,2007.
    J.L.Xiong,L.Jam.Stabilization of linear systems over networks with bounded packet loss.Automatica,vol.43, no.1,pp.80–87,2007.
    G.C.Walsh,O.Beldiman,L.G.Bushnell.Asymptotic be-havior of nonlinear networked control systems.IEEE Trans-actions on Automatic Control,vol.46,no.7,pp.1093–1097, 2001.
    M.Yu,L.Wang,T.G.Chu.Robust stabilization of nonlin-ear sampled-data systems.In Proceedings of the American Control Conference,IEEE,vol.5,pp.3421–3426,2005.
    J.Ren,C.W.Li,D.Z.Zhao.Linearizing control of induc-tion motor based on networked control systems.Interna-tional Journal of Automation and Computing,vol.6,no.2, pp.192–197,2009.
    S.M.Mu,T.G.Chu,L.Wang,W.S.Yu.Output feed-back control of networked systems.International Journal of Automation and Computing,vol.1,no.1,pp.26–34,2004.
    L.X.Wang.Adaptive Fuzzy Systems and Control:Design and Stability Analysis,Englewood Cliffs,NJ,USA:Prentice Hall,1994
    C.Lin,Q.G.Wang,T.H.Lee,Y.He.LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay,NY,USA:Springer-Verlag,2007.
    T.Takagi,M.Sugeno.Fuzzy identification of systems and its applications to modeling and control.IEEE Transactions on Systems,Man,and Cybernetics,vol.15,no.1,pp.116-132,1985.
    H.G.Zhang,D.D.Yang,T.Y.Chai.Guaranteed cost networked control for T-S fuzzy systems with time de-lays.IEEE Transactions on Systems,Man,and Cybernetics —Part C:Application Review,vol.37,no.2,pp.160–172, 2007.
    X.F.Jiang,Q.L.Han.On designing fuzzy controllers for a class of nonlinear networked control systems.IEEE Transactions on Fuzzy Systems,vol.16,no.4,pp.1050-1060,2008.
    C.S.Tseng.Model reference output feedback fuzzy track-ing control design for nonlinear discrete-time systems with time-delay.IEEE Transactions on Fuzzy Systems,vol.14, no.1,pp.58–70,2006.
    A.Isidori,L.Marconi,C.De Persis.Remote tracking via encoded information for nonlinear systems.System&Con-trol Letters,vol.55,no.10,pp.809–818,2006.
    X.C.Jia,D.W.Zhang,X.H.Hao,N.N.Zheng.Fuzzy H tracking control for nonlinear networked control systems in T-S fuzzy model.IEEE Transactions on Systems,Man,and Cybernetics—Part B:Cybernetics,vol.39,no.4,pp.1073-1079,2009.
    M.Wu,Y.He,J.H.She.New delay-dependent stabil-ity criteria and stabilizing method for neutral systems. IEEE Transactions on Automatic Control,vol.49,no.12, pp.2266–2271,2004.
    T.Li,L.Guo,L.Wu.Simplified approach to the asymp-totical stability of linear systems with interval time-varying delay.IET Control Theory&Application,vol.3,no.2, pp.252–260,2009.
    E.Fridman,A.Seuret,J.P.Richard.Robust sampled-data stabilization of linear systems:An input delay approach. Automatica,vol.40,no.8,pp.1441–1446,2004.
    V.Suplin,E.Fridman,U.Shaked.Sampled-data H con-trol and filtering:Nonuniform uncertain sampling.Auto-matica,vol.43,no.6,pp.1072–1083,2007.
    H.K.Lam,L.D.Seneviratne.Tracking control of sampled-data fuzzy-model-based control systems.IET Control The-ory&Application,vol.3,no.1,pp.56–67,2009.
    K.Gu.An integral inequality in the stability problem of time-delay systems.In Proceedings of IEEE Conference on Decision and Control,IEEE,vol.3,pp.2805–2810,2000.
    C.W.Scherer,I.E.Ko¨se.Robustness with dynamic IQCs: An exact state-space characterization of nominal stability with applications to robust estimation.Automatica,vol.44, no.7,pp.1666–1675,2008.
    C.Cheng,Q.Zhao.Reliable control of uncertain delayed systems with integral quadratic constraints.IEE Proceed-ings:Control Theory and Applications,vol.151,no.6, pp.790–796,2004.
    X.P.Guan,C.L.Chen.Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays.IEEE Trans-actions on Fuzzy Systems,vol.12,no.2,pp.236–249,2004.
    H.Y.Shao.New delay-dependent stability criteria for sys-tems with interval delay.Automatica,vol.45,no.3,pp.744-749,2009.
    S.Boyd,L.EI Ghaoui,E.Feron,V.Balakrishnan.Linear Matrix Inequality in Systems and Control Theory,Philadel-phia,PA:SIAM,1994.
    C.C.Sun,H.Y.Chung,W.J.Chang.H2/H robust static output feedback control design via mixed genetic algorithm and linear matrix inequalities.Journal of Dynamic Sys-tems,Measurement,and Control,vol.127,no.4,pp.715-722,2005.
    K.Tanaka,T.Ikeda,H.O.Wang.A unified approach to controlling chaos via an LMI-based fuzzy control system de-sign.IEEE Transactions on Circuits and Systems I:Funda-mental Theory and Applications,vol.45,no.10,pp.1021-1040,1998.
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