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一类线性不确定时滞系统的鲁棒控制 被引量：1

Robust Control for a Class of Uncertain Linear Systems with Time Delays
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摘要 利用Lyapunov稳定性理论研究了一类既有状态时滞,又有控制时滞的多时滞不确定线性系统.通过构造Lyapunov泛函,讨论该泛函沿闭环系统的导数,给出了这类系统时滞无关鲁棒镇定的条件.利用Lyapunov和Riccati方程的解,构造了线性鲁棒状态反馈控制器. A class of uncertain linear systems with multiple（state and control） time delays is studied by using the Lyapunov stability theory. The derivative of Lyapunov function along the closed loop system is discussed and the condition for robust stabilizable independence of delay of the systems is given. Using solutions of Lyapunov and Riccati equations, a linear state feedback control law is proposed.
作者 于开宣
机构地区 成都广播电视大学教学处
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第4期479-482,共4页 Journal of Sichuan Normal University（Natural Science）
基金 四川省科技攻关基金(05SG022-013-3)资助项目
关键词 时滞 不确定 鲁棒 time delay uncertain robust
分类号 O231 [理学—运筹学与控制论]
  • 相关文献

参考文献21

  • 1Petersen I R,Hollot C V.A Riccati equation approach to the stabililization of uncertain linear systems[J].Automatica,1986,22:397-411.
  • 2Khargonekar P P,Petersen I R,Zhou K.Robust stabilization of certain linear systems:quadratic stabilization and H∞ control theory[J].IEEE Trans Automatic Control,1990,35:356.
  • 3Shen J C,Chen B S,Kung F C.Memoryless stabilization of uncertain dynamic delay systems:Riccati equation approach[J].IEEE Trans Automatic Control,1991,36:638-640.
  • 4Mahmoud M S,Al-Muthairi N F.Design of robust controller for time delay systems[J].IEEE Trans Automatic Control,1994,39:995-999.
  • 5Mahmoud M S.Quadratic stabilization of continuous time systems with state delay and normbounded time-varying uncertainties[J].IEEE Trans Automatic Control,1994,39:2135-2139.
  • 6Phoojaruenchanachai S,Furuta K.Memoryless stabilization of uncertain linear systems including time-varying state delays[J].IEEE Trans Automatic Control,1992,37:1022-1026.
  • 7Parlakci M N A.Robust stability of uncertain time-varying state-delayed systems[J].IEEE Proc Control Theory Appl,2006,153(4):469-477.
  • 8杨程,李树勇.一类含时滞和扩散Lotka-Volterra竞争模型的持久性与吸引性[J].四川师范大学学报（自然科学版）,2008,31(3):268-272. 被引量：8
  • 9Luo J S,Jvan den Bosch P P,Weiland S,et al.Design of performance robustness for uncertain linear systems with state and control delays[J].IEEE Transactions on Automatic Control,1998,43(11):1593-1596.
  • 10贾英民.鲁棒H∞控制[M].北京:科学出版社,2007.

二级参考文献130

共引文献61

同被引文献13

  • 1Petersen I R, Hollot C V. A Riccati equation approach to the stablilization of uncertain linear systems [ J ]. Automatica, 1986,22, 397 - 411.
  • 2Khargonekar P P, Petersen I R, Zhou K. Robust stabilization of uncertain linear systems : Quadratic stabilizability and H control theory [ J ]. IEEE Trans Auto Control, 1990,35:356 - 361.
  • 3Shen J C, Chen B S, Kung F C. Mem.oryless stabilization of uncertain dynamic delay systems: Riccati equation approach [ J]. IEEE Trans Auto Control, 1991,36 .- 638 - 640.
  • 4Matmaoud M S, Al - Muthairi N F. Design of robust controller for time delay systems[J]. IEEE Trans Auto Control,1994,39:995 -999.
  • 5Mahmoud M S. Quadratic stabilization of continuous time systems with state delay and norm- bounded time -varying uncertainties[J]. IEEE Trans Auto Control, 1994,39:2135 - 2139.
  • 6Phoojaruenchanachai S, Fumta K. Memoryless stabilization of uncertain linear systems including time - varying state delays [ J ]. IEEE Trans Auto Control, 1992,37 : 1022 - 1026.
  • 7Parlakci M N A. Robust stability of uncertain time- varying state -delayed systems[ J]. IEEE Proc Control Theo Appl,2006, 153(4) :469-477.
  • 8Luo J S, van den Bosch P P J, Weiland S, et al. Design of performance robustness for uncertain linear systems with state and control delays [ J ]. IEEE Trans Auto Control, 1998,43 ( 11 ) : 1593 - 1596.
  • 9Xu S, Lam L, Chen T, et al. h delay -dependent approach to robust H∞ filtering for uncertain distributed delay systems[J]. IEEE Trans Sign Process ,2005,53:3764 - 3772.
  • 10Jiang X, Han Q. New stability criteria uncertain linear systems with interval time -varying delay [ J ]. Automatica, 2008,44: 2680 - 2685.

引证文献1

四川师范大学学报（自然科学版）
2010年 第4期

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