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一类离散时滞大系统的指数稳定非脆弱控制器设计

Design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays
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摘要 研究了一类离散时滞大系统的指数稳定非脆弱控制器设计问题.基于Lyapunov稳定性理论和线性矩阵不等式方法,设计系统的状态反馈非脆弱控制器,以线性矩阵不等式形式给出系统的指数稳定的充分条件,并可以通过M atlab十分方便地求解. This paper considered the problem of the design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays. Based on the Lyapunov stability theory and linear matrix inequality approach, the state feedback non-fragile controller was given to guarantee the exponential stability of the systems. A sufficient condition was expressed in terms of linear matrix inequality which could be easily solved by the toolbox of Matlab.
出处 《安徽大学学报(自然科学版)》 CAS 北大核心 2010年第5期27-32,共6页 Journal of Anhui University(Natural Science Edition)
基金 国家自然科学基金资助项目(60674020) 河南省基础与前沿技术研究基金资助项目(092300410145) 河南省教育厅自然科学基金资助项目(2009B110003) 安阳市科技攻关基金资助项目(AY090067) 安阳师范学院大学生创新基金资助项目
关键词 大系统 非脆弱控制 指数稳定 线性矩阵不等式 large-scale systems non-fragile control exponential stability linear matrix inequalities (LMI)
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参考文献12

  • 1Kau S W,Liu Y S,Hong L,et al.A new LMI condition for robust stability of discorete-time systems[J].Syst Contr Lett,2005,54(3):1195-1203.
  • 2Xu S Y,Chen T W.Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers[J].Syst Contr Lett,2004,51(4):171-183.
  • 3黄优良.混合时滞随机神经网络全局渐近同步[J].安徽大学学报(自然科学版),2009,33(4):18-25. 被引量:1
  • 4吴然超,胡宗海,程玲华.多重时滞离散神经网络的指数稳定性[J].安徽大学学报(自然科学版),2008,32(4):1-4. 被引量:1
  • 5Krishnamurthy P,Khorrami F.Decentralized control and disturbance attenuation for large-scale nonlinear systems in generalized output-feedback canonical form[J].Automatic,2003,39(1):1923-1933.
  • 6Wu H S.Decentralized adaptive robust control for a class of large-scale systems including delayed staee perturbations in the interconnections[J].IEEE Trans Automat Contr,2002,47(10):1745-1751.
  • 7Keel L H,Bhattacharyya S P.Robust,fragile,or optimal[J].IEEE Trans Automat Contr,1997,42(8):1089-1105.
  • 8Yang G,Wang J,Lin C.H∞ control for linear systems with additive controller gain variations[J].International Journal of Control,2000,73(2):1500-1506.
  • 9Xu S Y,Lam J,Wang J L,et al.Non-fragile positive real control for uncertain linear neutral delay systems[J].Syst Contr Lett,2004,52(3):59-74.
  • 10Park J H.Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations[J].Applied Mathematics and Computation,2004,149(11):147-164.

二级参考文献14

  • 1Mohamad S, Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counterparts [ J ]. Math Comput Simulation ,2000,53 ( 1 ) : 1 - 39.
  • 2Wang Z, Liu Y, Liu X. On the global asymptotic stability of neural networks with discrete and distributed delays [ J ]. Phys Lett A, 2005,345 (4) :299 - 308.
  • 3Mohamad S. Global exponential stability in continuous-time and discrete -time delayed bidirectional neural networks [ J ]. Physica D,2001,159 ( 3 ) :233 - 251.
  • 4Liang J, Cao J, Ho D. Discrete-time bidirectional associative memory neural networks with variable delays [ J ]. Phys Lett A, 2005,335(3) :226 -234.
  • 5Liu X. Discrete -time BAM neural networks with variable delays[ J ]. Phys Lett A ,2007,367 (4) :322 -330.
  • 6Zhao H, Sun L, Wang G. Periodic oscillation of discrete-time bidirectional associative memory nerual networks[ J]. Neurocomputing, 2007,70( 18 ) :2924 - 2930.
  • 7Gu K.An integral inequality in the stability problem of time-delay systems[].Proceedings ofthIEEE Conferenceon Decision and Control.2000
  • 8Liang J,Wang Z,Liu Y,et al.Robust synchronization of an array of coupled stochastic discrete-time delayed neuralnetworks[].IEEE Transactions on Neural Networks.2008
  • 9S. Boyd,L.El Ghaoui,E. Feron,et al.Linear Matrix Inequalities in Systems and Control Theory[].SIAM Studies in Applied Mathematics.1994
  • 10Jinde Cao Ping Li and Weiwei Wang.Global synchronization in arrays of delayed neural networks with constant and delayed coupling[].Physics Letters.2006

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