Robust H∞ control problem for delayed linear systems with parameter uncertainties

被引:0
|
作者
Lu, GP [1 ]
Zheng, YF [1 ]
Chen, BM [1 ]
机构
[1] Nantong Inst Technol, Dept Automat Control, Nanjing 210044, Peoples R China
来源
SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2 | 1998年
关键词
linear systems; time-delay systems; robust control; H(infinity) control;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An H(infinity)-gamma-suboptimal strongly robust performance problem (H(infinity)-gamma-SSRPP), for a class of linear systems with multiple time delays and parameter uncertainties is considered in this paper. A set of necessary and sufficient conditions for the existence of control laws that achieve the above mentioned strongly robust performance is derived and characterized in terms of the solutions of three well-defined linear matrix inequalities (LMIs). An explicit parameterization of these laws is also provided. Copyright (C) 1998 IFAC.
引用
收藏
页码:631 / 636
页数:6
相关论文
共 50 条
  • [31] Decentralised robust H∞ control of fractional-order interconnected systems with uncertainties
    Lu, Jun-Guo
    Zhao, Yun-An
    INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (06) : 1221 - 1229
  • [32] Robust control and tuning problem for distributed parameter systems
    Hamalainen, T
    Pohjolainen, S
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1996, 6 (05) : 479 - 500
  • [33] Adaptive Robust Tracking Control With Active Learning for Linear Systems With Ellipsoidal Bounded Uncertainties
    Ma, Xuehui
    Zhang, Shiliang
    Li, Yushuai
    Qian, Fucai
    Sun, Zhiyong
    Huang, Tingwen
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (11) : 8096 - 8103
  • [34] Robust H∞ control problem for general nonlinear systems with uncertainty
    Wu, JL
    Lee, TT
    ASIAN JOURNAL OF CONTROL, 2003, 5 (02) : 168 - 175
  • [35] Robust H∞ control for linear discrete-time systems with norm-bounded nonlinear uncertainties
    Shi, P
    Shue, SP
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) : 108 - 111
  • [36] Robust model reference control of linear parameter-varying systems with disturbances
    Abdullah, Ali A.
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (01) : 45 - 52
  • [37] Robust H∞ control for one-sided Lipschitz non-linear systems with time-varying delays and uncertainties
    Huang, Ling
    Lin, Xiaona
    Zhong, Beibei
    Xu, Donghao
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (15) : 2116 - 2126
  • [38] Parallel robust H∞ control for weakly coupled bilinear systems with parameter uncertainties using successive Galerkin approximation
    Kim, Young-Joong
    Lim, Myo-Taeg
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2006, 4 (06) : 689 - 696
  • [39] Quantum Robust Optimal Control for Linear Complex Quantum Systems With Uncertainties
    Wang, Shi
    Ding, Chao
    Fang, Qiu
    Wang, Yaonan
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (11) : 6967 - 6974
  • [40] H∞ optimal terminal control for linear systems with delayed states and controls
    Ariola, Marco
    Pironti, Alfredo
    AUTOMATICA, 2008, 44 (10) : 2676 - 2679