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带状态时滞和输入时滞的不确定奇异系统的鲁棒H_∞控制 被引量：1

Robust Control for Uncertain Singular Dynamic Systems with Time-varying Delays in State and Control Input
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摘要 针对一类带有状态时滞和输入时滞的不确定奇异系统,利用Lyapunove稳定性,采用新的积分不等式方法,用线性矩阵不等式形式给出了系统鲁棒能稳和鲁棒H∞控制的时滞依赖条件,其保守性小于已有的结果.最后给出数值例子验证了结论的可行性和有效性. The paper considers robust control problem for uncertain singular dynamic systems with time --varying delays in state and control input. Based on the proper lyapunov function and using a new integral inequality,delay-dependent robust stabilization criteria and robust control are proposed for such systems in terms of linear matrix inequality（LMI）, which is less conservative than existing results. Finally, a numerical example is given to illustrate the feasibility of the designed method.
作者 李永钊 吴保卫 刘剑敏
机构地区 陕西师范大学数学与信息科学学院
出处 《西安工业大学学报》 CAS 2009年第6期593-599,共7页 Journal of Xi’an Technological University
基金 国家自然科学基金资助项目(10571114) 陕西自然科学基础研究计划项目(SJ08A20)
关键词 不确定性 状态时滞 输入时滞 鲁棒H∞控制 线性矩阵不等式(LMI) uncertainty state time-delayl input time-delay robust control linear matrix inequality（LM1）
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献16

  • 1Lee Y S, Moon Y S. Delay-dependent Robust H∞ Control for Uncertain Systems with a State-delay [J]. Automatica, 2004,40 (1) : 65.
  • 2Fridman, Shaked. A Descriptor System Approach to H∞ Control of Linear Time-delay Systems[J]. IEE Transactions on Automatic Control, 2002, 47 (2):253.
  • 3Carlos E. de Souza. Xi li. Delay-dependnt Robust H∞ Control of Uncertain Linear State-delayed Systems[J]. Automatica, 1999,35(7) : 1313.
  • 4Choi H H, Chung M J. An LMI Approach to H∞ Control of Uncertain Linear State-delayed Systems [J]. Automatica, 1997,33(4) : 737.
  • 5Zribi M M , Mahmoud M S. H∞-control Design for Systems with Multiple Delays[J].Computers and Electrical Engineering, 1999,33 : 737.
  • 6Zhou Shao-sheng,Zheng Wei-xing Zheng. Robust H∞ Control of Delayed Singular Systems with Linear Fractional Parametric Uncertainties [J]. Journal of the Franklin Institute, 2009,346 (2) : 147.
  • 7FANG Mei.Delay-dependent Robust H∞ Control for Uncertain Singular Systems with State Delay[J].自动化学报,2009,35(1):65-70. 被引量：22
  • 8Xu S Y, Lam J, Zou Y. An Improved Characterization of Bounded Realness for Singular Delay Syslems and Its Applications[J]. Journal of Robust and Nonlinear Control, 2007,18(3) : 263.
  • 9FanYANG,QinglingZHANG.Delay-dependent H-infinity control for linear descriptor systems with delay in state[J].控制理论与应用（英文版）,2005,3(1):76-84. 被引量：13
  • 10Zhang Xian-ming, Han Qing-long. Robust H∞ Filtering for a Class of Uncertain Linear Systems with Time-varying Delay[J]. Automatica, 2008, 44 ( 1 ) :157.

二级参考文献9

  • 1Xiaofu JI Hongye SU Jian CHU.An LMI approach to robust H-infinity control for uncertain singular time-delay systems[J].控制理论与应用（英文版）,2006,4(4):361-366. 被引量：10
  • 2P. G. Park.A delay-dependent stability criterion for systems with uncertain time-invariant delays[].IEEE Trans on Automatic control.1999
  • 3A. Halanay,V. Rasvan.Stability radii for some propagation models[].IMAJ Mathematics Control Information.1997
  • 4S. Xu,P. V. Dooren,R. Stefan.Robust stability and stabilization for singular systems with state delay and parameter uncertainty[].IEEE Trans on Automatic Control.2002
  • 5S. Xu,P. V. Dooren,R. Stefan,et al.Robust stability and stabilization for singular systems with state delay and parameter uncertainty[].IEEE Trans on Automatic Control.2002
  • 6W. Zhu,L. Pitzold.Asymptotic stability of linear delay differentialalgebraic equations and numerical methods[].Applied Numerical Mathematics.1997
  • 7E. Fridman.Stability of linear descriptor systems with delay: a Lyapunovbased approach[].J of Mathematical Analysis and Application.2002
  • 8R. Brayton.Small signal stability criterion for electrical networks containing lossless transmission lines[].IBM Journal of Research and Development.1968
  • 9蒋威,郑祖庥,王志成.THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS[J].Annals of Differential Equations,2001,17(1):10-20. 被引量：4

共引文献30

同被引文献11

  • 1Zhang N, Wang G. Sliding mode congestion control algorithm for a class of large-scale networks based on T-S model[C]//Chinese Control and Decision Conference. Piscataway, NJ, USA: IEEE, 2008: 3504-3508.
  • 2Kung C. Design of adaptive fuzzy integral sliding mode con- trol for uncertain nonlinear systems with state and input delays[C]//IEEE International Conference on Systems, Man and Cybernetics. Piscataway, NJ, USA: IEEE, 2008: 944-949.
  • 3Takagi T, Sugeno M. Fuzzy identification of systems and its applications to modeling and control[J]. IEEE Transactions on Systems, Man and Cybernetics, 1985, 15(2): 116-132.
  • 4Nguang S K. H~ fuzzy output feedback control design for non- linear systems: An LMI approach[J]. IEEE Transactions on Fuzzy Systems, 2003, 11(3): 331-340.
  • 5Feng J, Ma D. Improved delay-dependent stabilization conditions of Takagi-Sugeno fuzzy systems with state and input delays[C]//IEEE International Conference on Networking, Sensing and Control. Piscataway, NJ, USA: IEEE, 2010: 414-418.
  • 6Chiu C, Chiang T. Robust output regulation of T-S fuzzy systems with multiple time-varying state and input delays[J]. IEEE Transactions on Fuzzy Systems, 2009, 17(4): 962-975.
  • 7Niu Y, Chen B, Wang X. Sliding mode control for a class of nonlinear Ito stochastic systems[J]. International Journal of Control, Automation, and Systems, 2009, 7(3): 365-370.
  • 8El Ghaoui L, Oustry F, AitRami M. A cone complementarity linearization algorithm for static output-feedback and related problems[J]. IEEE Transactions on Automatic Control, 1997, 42(8): 1171-1176.
  • 9王明顺,于滨,高宪文.非匹配不确定输入时滞系统的自适应滑模控制[J].东北大学学报（自然科学版）,2008,29(8):1069-1072. 被引量：6
  • 10李丽,刘晓东,杨晓光.含输入和状态时滞的T-S模糊系统的鲁棒控制[J].控制理论与应用,2008,25(4):645-649. 被引量：2

引证文献1

二级引证文献6

西安工业大学学报
2009年 第6期

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