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跳变双线性随机系统饱和执行器的镇定 被引量：2

Stabilization of jump bilinear stochastic systems subject to actuator saturation
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摘要 对于一类具有Markov跳变参数的双线性离散随机系统,研究其饱和执行器问题.分别采用一般二次型Lyapunov函数、饱和关联Lyapunov函数进行系统随机稳定性分析,以椭圆不变集构造随机稳定域,提出两种依赖于模态跳变率的饱和状态控制器设计方法,两种方法均以线性矩阵不等式的形式给出. Actuator saturation problems are discussed for a class of bilinear stochastic discrete-time systems with Markov jump parameters. The stochastic stability is respectively investigated by using general quadratic Lyapunov function and saturation-dependent Lyapunov function. A set of mode-dependent ellipsoid invariant sets are introduced to construct the stochastic stability region. Two design methods of saturation controller are presented, which dependent on the mode transition rate matrix. All the results are provided in the form of linear matrix inequality.
作者 刘飞 陈娇蓉
机构地区 江南大学自动化研究所
出处 《控制与决策》 EI CSCD 北大核心 2008年第3期349-352,共4页 Control and Decision
基金 国家自然科学基金项目(60574001) 新世纪优秀人才支持计划项目(NCET-05-0485) 江南大学创新团队发展计划项目
关键词 双线性系统 跳变系统 饱和执行器 椭圆不变集 随机稳定性 Bilinear systems Jump systems Actuator saturations Ellipsoid invariant set Stochastic stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献7

  • 1Hu T S, Lin Z L, Chen B M. Analysis and design for discrete-time linear systems subiect to actuator saturation[J]. Systems Control Letters, 2002, 45 (2): 97-112.
  • 2Hu T S, Lin Z L, Chen B M. An analysis and design method for linear systems subject to actuator saturation and disturbance[J]. Automatica, 2002, 38 (2):351- 259.
  • 3Liu H P, Boukas E K, Sun F, et al. Controller design for Markov jumping systems subject to actuator saturation[J]. Automatiea, 2006, 42(3): 459-465.
  • 4Wang Z D, Qiao H, Burnham K J. On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters[J]. IEEE Trans on Automatic Control, 2002, 47(4): 640-646.
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  • 7Cao Y Y, Lin Z L. Stability analysis of discrete-time systems with actuator saturation by a saturation- dependent Lyapunov function[J]. Automatica, 2003, 39 (7):1235-1241.

同被引文献31

  • 1黄剑,关治洪,王仲东.一类参数不确定脉冲系统的保成本控制研究[J].控制理论与应用,2006,23(6):971-975. 被引量：1
  • 2Bainov D D, Simeonov P S. Systems with Impulse Effect: Stability, Theory and Applications [M]. Chichester: Ellis Horwood, 1989.
  • 3Yang T. Impulsive Systems and Control: Theory and Applications [M]. New York: Nova Science, 2001.
  • 4Nesic D, Teel A R. Input--output stability properties of networked control systems [J]. IEEE Transactions on Automatic Control, 2004, 49(10): 1650-1667.
  • 5Naghshtabrizi P, Hespanha J P, Teel A R. Exponential stability of impulsive systems with application to uncertain sampled- data systems[J].System & Control Letters, 2008, 57(5) : 378--385.
  • 6Chen W-H, Wang J--G, Tang Y-J, Lu X. Robust H∞ control of uncertain linear impulsive stochastic systems[J]. Int. J. Robust Nonlinear Control., 2008, 18(13): 1348-1371.
  • 7Chen W-- H, Zheng W X. Robust stability and H∞- control of uncertain impulsive systems with time--delay[J]. Automatica, 2009, 45 (1): 109-117.
  • 8Hespanha J P, Liberzon D, Teel A R. Lyapunov conditions for input- to- state stability o( impulsive systems [J]. Automatica, 2008, 44(11): 2735-2744.
  • 9Chen W--H, Zheng W X. Input--to state stability and integral input--to--state stability of nonlinear impulsive systems with delays[J].Automatica, 2009,45 (6) : 1481-1488.
  • 10Hu T, Lin Z, Chen B M. An analysis and design method for linear systems subject to actuator saturation and disturbance[J]. Automatica, 2002, 38(2): 351-359.

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控制与决策
2008年 第3期

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