Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (2): 71-76.

• Comprehensive Studies • Previous Articles     Next Articles

Decentralized Robust Stabilization for a Class of Large-Scale Delay-Dependent Systems with Bounded Persistent Disturbances

  

  1. 1.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 5 10006,China;
    2.ZhongKai Middle School,Huizhou 516029,China)
  • Online:2010-06-25 Published:2010-06-25

Abstract: The decentralized robust stabilization problem with a class of large-scale delay-dependent systems,is bounded persistent disturbance.By constructing Lyapunov functions,the linear matrix inequality(LMI)was employed.A few sufficient conditions for such large-scale systems were derived.A convex optimization of LMI constraints was formulated to design a decentralized state feedback control with smaller gain parameters,which enables the closed.1oop system to be asymptotically stable.Th e given example verifies the effectiveness of the method.

Key words: large-scale systems;delay-dependent;uncertainties;bounded persistent disturbances;decentralized robust stabilzation

[1]Wu H,Mizukami K,Willgoss R A.Decentralized robust control for uncertain large--scale time- delay dynamical systems[J].Control-Theory and Advanced Technology,1993,

9(2):533-546.

[2]Trinh H,Aldeen M.Decentralized feedback controller for uncertain intercomnected dynamic systems[J].IEE Proc,Control Theory Appl,1993,140(6):429-434.

[3]Trinh H,Aldeen M.Stabilization of uncertain dynamic delay systems by memoryless feedback controllers[J].Int J Control,1994,59:1525-1542.

[4]Yu Li,Holmberg U,Bonvin D.Decentralized robust stabilization of a class of interconnected uncertain delay systems[J].Control-Theory and Advanced Technology,1995,10(4):1475-1483.

[5]桂卫华,谢永芳,吴敏,等.基于LMI的不确定性关联时滞大系统的分散鲁棒镇定[J].自动化学报,2002,28(1):155-159.

[6]吴小雪,廖福成.一类不确定时滞大系统的分散鲁棒镇定[J].北京工商大学学报,2007,25(4):81-84.

[7]周少武,唐东峰,吴亮红.非线性扰动的关联大系统分散鲁棒H 控制[J].系统工程与电子技术,2008,30(6):1139-1142.

[8]Limon D,Alamo T,Salas F,et a1.Input to state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties[J].Automat,2006,42(5):797.803.

[9]张志飞.具有变时滞的线性系统的时滞相关稳定性[J].系统工程与电子技术,2001,23(2):61-70.

[1 0]Jain S.Decentralized adaptive output feedback design for large-scale nonlinear systems[J].IEEE Trans Auto Cont,1997,42(5):729-735.

[11]刘新宇,高立群,张文.不确定线性组合系统的分散镇定与输出跟踪[J].信息与控制,1998,27(5):342-350.

[12]吴庆宪,王源,姜长生.区间矩阵系统低保守性鲁棒控制器设计[J].控制理论与应用,2000,17(2):291-295.

[13]张贤科,许甫华.高等代数学[M].北京:清华大学出版社,2004.
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