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Volume 42 Issue 10
Oct.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(10): 2231-2237.
LI Zhe, GAO Yuanlou, LI Peilinet al. Solution of output feedback μ controller based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556(in Chinese)
Citation: LI Zhe, GAO Yuanlou, LI Peilinet al. Solution of output feedback μ controller based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556(in Chinese)
shu

Solution of output feedback μ controller based on LMI

doi: 10.13700/j.bh.1001-5965.2015.0556

  • School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • Received Date: 31 Aug 2015
  • Publish Date: 20 Oct 2016
    Abstract
  • D-K iteration is the main implementation method of structured singular value (μ), which has problems of strict solution conditions and poor system suitability. Aimed at overcoming limitation shortage of D-K iteration application, the linear matrix inequality (LMI) was proposed to improve D-K iteration, which uses Schur's lemma and bounded real lemma to get LMI criterion of upper boundary of structured singular value, and elimination method was developed to obtain H∞ controller in output feedback system. Based on improvements related to LMI, D-K iteration was adopted to solve μ controller in output feedback system, which avoids solution limitation of Riccati equation and influence by selection quality of some uncertain parameters, enhances its applicability in general system, and improves the solution efficiency of controller in output feedback system. Numerical results show that this method gets not only robust stability but also robust performance superior to the traditional D-K iteration of output feedback system.

     

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    • References(15)
  • [1]
    DOYLE J C.Analysis of feedback systems with structured uncertainties[J].IEE Proceedings D-Control Theory and Applications,1982,129(6):242-250.
    [2]
    SAFONOV M G.Stability margins of diagonally perturbed multivariable feedback systems[C]//IEEE Conference on Decision & Control Including the Symposium on Adaptive Processes.Piscataway,NJ:IEEE Press,1981:1472-1478.
    [3]
    FAN K H,TITS A L,DOYLE J C.Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics[J].IEEE Transaction on Automatic Control,1991,36(1):25-38.
    [4]
    BALAS G J,DOYLE J C,GLOVER K.Analysis and synthesis toolbox[M].Minneapolis:Musyn Incorporated and Mathworks Incorporated,1998.
    [5]
    COLLINS E G,SADHUKHAN D,WATSON L T.Robust controller synthesis via non-linear matrix inequalities[J].International Journal of Control,1999,72(11):971-980.
    [6]
    CHAMANBAZ M,DABBENCE F,TEMPO R,et al.A statistical learning theory approach for uncertain linear and bilinear matrix inequalities[J].Automatic,2014,50(6):1617-1625.
    [7]
    CHEN G,SUGIE T L.Analysis and synthesis of state feedback systems based on multipliers and LMI[C]//Proceedings of the American Control Conference.Piscataway,NJ:IEEE Press,1998:537-541.
    [8]
    FU R,HUANG L.Optimized LMI algorithm for L-analysis and synthesis with application in power system[J].Proceedings of the Chinese Society for Electrical Engineering,2002,22(10):7-11.
    [9]
    俞立.鲁棒控制-线性矩阵不等式处理方法[M].北京:清华大学出版社,2002:88-120.YU L.Robust control-linear matrix inequalities approach[M].Beijing:Tsinghua University Press,2002:88-120(in Chinese).
    [10]
    傅剑,杨卫东,李伯群,等.基于μ综合的热轧动态设定AGC鲁棒控制[J].北京科技大学学报,2006,28(3):293-298.FU J,YANG W D,LI B Q,et al.Robust control of hot rolling dynamic setting AGC based on μ synthesis[J].Chinese Journal of Engineering,2006,28(3):293-298(in Chinese).
    [11]
    WANG J L,YANG G H,LIU J.An LMI approach to H-index and mixed H-/H∞ fault detection observer design[J].Automatic,2007,43(9)1656-1665.
    [12]
    STEIN G,DOYLE J C.Beyond singular values and loop shapes[J].AIAA Journal of Guidance and Control,1991,14(1):5-16.
    [13]
    郑大钟.线性系统理论[M].北京:清华大学出版社,1990:10.ZHENG D Z.Linear system theory[M].Beijing:Tsinghua University Press,1990:10(in Chinese).
    [14]
    SERRE D.Matrices:Theory and applications[M].New York:Springer,2002:6-7.
    [15]
    何芝强.PID控制器参数整定方法及其应用研究[D].杭州:浙江大学,2005:35-38.HE Z Q.The PID controller parameter setting method and application research[D].Hangzhou:Zhejiang University,2005:35-38.
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