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一类不确定切换模糊时滞系统的鲁棒控制 被引量:2

Robust Control for a Class of Uncertain Switched Fuzzy Time-Delay Systems
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摘要 针对利用模糊T-S模型建模的切换模糊系统,考虑当系统同时存在不确定和时滞的情况下,研究系统的状态反馈控制问题。利用切换技术和多Lyapunov函数方法,给出状态反馈控制器存在的充分条件,相应结果以矩阵不等式形式给出,并给出切换律设计。利用平行分布补偿算法(PDC),给出切换模糊状态反馈控制器设计,使得闭环系统在所设计的控制器和切换律下,对所有允许的不确定具有鲁棒性。仿真结果表明方法的有效性。 The robust feedback control problem is studied for a class of switched fuzzy systems based on fuzzy T-S model with the uncertainty and time-delay simultaneously.The existance sufficient conditions for state-feedback controller are presented by using the switching technique and the multiple Lyapunov function method.Corresponding results are obtained through matrix inequality,and the design of switched law is given.Based on the parallel distributed compensation,the switched fuzzy state-feedback controller is designed.The closed-loop system has robustness for all admissible uncertainties,and is globally asymptotically stable under the proposed controller and switched law.Simulation results show the effectiveness of the design method.
作者 刘毅 赵军
出处 《控制工程》 CSCD 北大核心 2010年第5期618-620,648,共4页 Control Engineering of China
基金 国家自然科学基金资助项目(60874024 61074014) 辽宁省自然科学基金资助项目(20102093 20092195) 辽宁省教育厅创新团队项目(LT2010050)
关键词 切换系统 模糊控制 不确定时滞系统 多LYAPUNOV函数 switched system fuzzy control uncertain time-delay systems multiple lyapunov functions
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参考文献16

  • 1Liberzon D, Morse A S. Basic problems in stability and design of switched systems [ J]. IEEE Control Systems Magazine, 1999,19: 59-70.
  • 2Sun Z D,GE S S. Switched linear Systems-control and design [ M]. New York : Springer-Verlag,2004.
  • 3Zhao J, Spong M-W. Hybrid control for global stabilization of the cart-pendulum system [ J ]. Automatica,2001,37 (12) : 1941-1951.
  • 4赵军,聂宏.切换系统输入对状态稳定性的充分条件(英文)[J].自动化学报,2003,29(2):252-257. 被引量:24
  • 5Zahirazami S, Karuei I, Aghdam A G. Multi-layer switching structure with periodic feedback control [ C ]. Minneapolis, Minnesota,USA:Proceedings of the 2006 American Control Conference ,2006.
  • 6Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [ J ]. IEEE Transactions on Automatic Control, 1998,43 ( 4 ) : 475-482.
  • 7聂宏,赵军.一类非线性不确定时滞系统的混杂状态反馈H_∞鲁棒控制[J].控制理论与应用,2005,22(4):567-572. 被引量:7
  • 8Tong S C, Wang T, Li H X. Fuzzy robust tracking control design for uncertain nonlinear dynamic systems [ J ]. International Journal of Approximate Reasoning,2002,9 ( 3 ) :73-90.
  • 9Lee H J, Park J B, Chen G R. Robust fuzzy control of nonlinear systems with parametric uncertainties [ J ]. IEEE Transactions Fuzzy Systems,2001 ,9(2) : 369-379.
  • 10Lo J C, Lin M L. Robust H∞ nonlinear modeling and control via uncertain fuzzy systems[ J ]. Fuzzy Sets and Systems,2004,143 (2) : 189-209.

二级参考文献10

  • 1JEON D, TOMIZUKA M. Learning hybrid force and position control of robot manipulators [J]. IEEE Trans on Robotics Automata, 1996,9(4) :423 - 431.
  • 2GERSHWIN S B.Hierarchical flow control:A framework for scheduling and planning discrete events in manufacturing systems [ J ]. Proceeding of IEEE, 1989,77 ( 1 ): 195 - 209.
  • 3HU B, ZHAI G S, MICHEL A N. Hybrid static output feedback stabilization of second-order linear time-invariant systems [J]. Linear Algebra and Its Applications ,2002,351 (15) :475 - 485.
  • 4LIBERZON D, MORSE A S. Basic problems in stability and design of switched systems [J]. IEEE Control Systems Magazine, 1999,19(5) :59 - 70.
  • 5YU L, CHU J, SU H. Robust memoryless H∞ controller design for linear time-delay systems with norm-bounded time-varying uncertainty[J]. Automatica, 1996,32(12): 1759 - 1762.
  • 6SKAFIDAS E,EVANS R J,SAVKIN A V, et al. Stability results for switched controller systems [ J ]. Automatica, 1999, 35 ( 4 ): 553 -564.
  • 7BRANICKY M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [ J]. IEEE Trans on Automatic Control, 1998,43 ( 4 ) :475 - 482.
  • 8GOLLU A, VARAIYA P P. Hybrid dynamical systems [ C]∥Proc of the 28 rd Conf on Decision and Control. Tampa, Florida, USA: Omnipress, 1989: 2708 - 2712.
  • 9谢广明,郑大钟.线性切换系统基于范数的系统镇定条件及算法[J].自动化学报,2001,27(1):115-119. 被引量:14
  • 10费树岷,王泽宁,冯纯伯.一类开关系统的开关控制策略优化设计[J].自动化学报,2001,27(2):247-251. 被引量:16

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