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多时滞非线性系统的H_∞控制——线性矩阵不等式法 被引量:3

H-Infinite Controller for Nonlinear Systems with Multiple Time Delay-Linear Matrix Inequality Method
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摘要 为得到关于非线性多时滞系统的更具一般性的结论,利用目前广泛使用的线性矩阵不等式方法研究了不确定有界的多时滞非线性系统的任意阶鲁棒H∞输出反馈控制器的设计问题,给出了该类问题有解的充分条件,同时设计了控制器.该方法的要旨在于只要相应的矩阵不等式存在正定解,就能够设计任意阶的H∞输出反馈控制器.典型算例说明了此类控制律的设计步骤,仿真结果表明该方法对干扰输入具有较强的抑制能力. To obtain more general results concerning nonlinear systems with multiple time delay than those in the previous literature, the robust control problems are solved by the linear matrix inequality (LMI) approach widely used recently. The H-infinite output feedback control problems are discussed for a class of uncertain nonlinear systems with multiple state delay time when the uncertainty is bounded. The sufficient conditions for the existence of H-infinite controllers are presented and the controller is constructed simultaneously. It is pointed out that provided the relevant LMIS are solvable, the output feedback control law of any order can be designed. The designing procedure of the proposed controller is summarized through an example. Simulation results indicate that this kind of controller can attenuate disturbances effectively.
出处 《西安交通大学学报》 EI CAS CSCD 北大核心 2003年第6期577-580,共4页 Journal of Xi'an Jiaotong University
基金 国家重点发展研究专项经费资助项目 (G1 9980 3 0 41 7).
关键词 多时滞 输出反馈H∞控制 线性矩阵不等式 Computer simulation Feedback control Matrix algebra Uncertain systems
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参考文献5

  • 1贾秋玲,何长安.不确定多时滞非线性系统的H∞鲁棒控制[J].西安交通大学学报,2002,36(12):1295-1298. 被引量:3
  • 2Du C L, Xie L H,Zhang C H. H∞ control and robust stabilization of two-dimensional systems in Roesser models [J]. Automatica, 2001,37(2):205-211.
  • 3Jeung E T, Oh D C, Kim J H, et al. Robust controller design for uncertain systems with time delays: LMI approach [J]. Automatica, 1996,32(8) : 1229-1231.
  • 4Choi H H,Chung M J. An LMI approach to H∞ controller design for linear time-delay systems [J]. Automatica, 1997,33(4):737-739.
  • 5Iwasaki T,Skelton R E. All controllers for the general H∞ control problem: LMI existence conditions and state space formulas [J]. Automatica, 1994, 30 (8):1307-1317.

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  • 1李树忱,程玉民.基于单位分解法的无网格数值流形方法[J].力学学报,2004,36(4):496-500. 被引量:47
  • 2YinheWANG,ZhiyuanLI,SiyingZHANG.Approximation property of partition of unity and its applications[J].控制理论与应用(英文版),2004,2(3):267-275. 被引量:5
  • 3Zhao Futao, Tian Yuchu, Tade Moses O, et al. A timedelay compensation strategy for processes with uncertainties [J]. Computers and Chemical Engineering, 2002, (26):1437-1447.
  • 4Trinh H, Aldeen M. Output feedback for linear uncertain time-delay systems [J]. IEE proceedings of Control and Application, 1996,143(6): 481-486.
  • 5Ge J H, Frank P M. Robust H∞ state feedback for linear systems with state delay and parameter uncertainty [J].Automatica, 1996,32 (8): 1183-1185.
  • 6Mosleh A. Control system design via linear matrix inequality [D]. University of Arkansas, U.S.A, 2002.
  • 7JONG Hae Kim. New design method on memoryless H, control for singular systems with delayd state and control using LMI[J]. J Franklin Inst,2005,324 : 321-327.
  • 8LEE J H, KIM S W, KWON W H. Memoryless Ha controllers for state delayed systems[J]. IEEE Trans Automat Comtr, 1994,39 : 784-788.
  • 9张明君,程储旺,孙优贤.不确定性时滞系统基于观测器的鲁棒镇定[J].自动化学报,1998,24(4):508-511. 被引量:15
  • 10游少鹏.线性时变系统的分散自校正控制[J].控制理论与应用,1998,15(5):708-715. 被引量:1

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