OPTIMIZATION OF COORDINATE TRANSFORMATION MATRIX FOR H∞ STATIC-OUTPUT-FEEDBACK CONTROL OF LINEAR DISCRETE-TIME SYSTEMS

被引:11
作者
Feng, Zhi-Yong [1 ]
Xu, Li [2 ]
She, Jinhua [3 ]
Guo, Xue-Xun [1 ]
机构
[1] Wuhan Univ Technol, Hubei Key Lab Adv Technol Automot Parts, Wuhan 430070, Peoples R China
[2] Akita Prefectural Univ, Dept Elect & Informat Syst, Akita 0150055, Japan
[3] Tokyo Univ Technol, Sch Comp Sci, Hachioji, Tokyo 1920982, Japan
关键词
H-infinity control; static output feedback; linear matrix inequality (LMI); LMI CONDITIONS; STABILIZATION; PERFORMANCE;
D O I
10.1002/asjc.897
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a new iterative algorithm as an upgrade to sufficient LMI conditions for the H static-output-feedback (SOF) control of discrete-time systems. Based on an analysis of the structures of the coordinate transformation matrix and the Lyapunov matrix, the open question of how to fix the Lyapunov matrix structure raised by G. I. Bara and M. Boutayeb is replaced with the question of how to choose the coordinate transformation matrix. Then, an iterative algorithm for selecting the optimum coordinate transformation matrix that produces a locally optimal solution is presented. Finally, numerical examples demonstrate the effectiveness and advantages of this method.
引用
收藏
页码:604 / 614
页数:11
相关论文
共 25 条
  • [1] [Anonymous], 2006, THESIS
  • [2] Nonsmooth H∞ synthesis
    Apkarian, P
    Noll, D
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) : 71 - 86
  • [3] Arzelier D, 2010, P AMER CONTR CONF, P4683
  • [4] Static output feedback stabilization with H∞ performance for linear discrete-time systems
    Bara, GL
    Boutayeb, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) : 250 - 254
  • [5] NP-hardness of some linear control design problems
    Blondel, V
    Tsitsiklis, JN
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (06) : 2118 - 2127
  • [6] Static output feedback stabilization: An ILMI approach
    Cao, YY
    Lam, J
    Sun, YX
    [J]. AUTOMATICA, 1998, 34 (12) : 1641 - 1645
  • [7] A global algorithm for nonlinear semidefinite programming
    Correa, R
    Ramirez, HC
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2004, 15 (01) : 303 - 318
  • [8] Improved LMI Conditions for H∞ Output Feedback Stabilization of Linear Discrete-time Systems
    Du, Xin
    Yang, Guang-Hong
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2010, 8 (01) : 163 - 168
  • [9] A cone complementarity linearization algorithm for static output-feedback and related problems
    ElGhaoui, L
    Oustry, F
    AitRami, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) : 1171 - 1176
  • [10] H∞ STATIC OUTPUT FEEDBACK CONTROL OF 2-D DISCRETE SYSTEMS IN FM SECOND MODEL
    Feng, Zhi-Yong
    Xu, Li
    Wu, Min
    She, Jin-Hua
    [J]. ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1505 - 1513