On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties

被引：91
|
作者：
Kheloufi, Houria [1 ]
Zemouche, Ali [2 ]
Bedouhene, Fazia [1 ]
Boutayeb, Mohamed [2 ]
机构：
[1] Univ Mouloud Mammeri, Lab Math Pures & Appl, Tizi Ouzou, Algeria
[2] Univ Lorraine, CRAN UMR CNRS 7039, F-54400 Cosnes Et Romain, France
来源：
AUTOMATICA | 2013年 / 49卷 / 12期
关键词：
Observer-based control; Linear matrix inequalities (LMIs) approach; Uncertain linear systems; NONLINEAR-SYSTEMS; ROBUST STABILIZATION; STOCHASTIC-SYSTEMS;
D O I：
10.1016/j.automatica.2013.09.046
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 deals with the problem of observer-based stabilization for linear systems with parameter inequality. A new design methodology is proposed thanks to a judicious use of the famous Young relation. This latter leads to a less restrictive synthesis condition, expressed in term of Linear Matrix Inequality (LMI), than those available in the literature. Numerical comparisons are provided in order to show the validity and superiority of the proposed method. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3700 / 3704
页数：5
相关论文
共 50 条
  • [1] Observer-based stabilisation of linear systems with parameter uncertainties by using enhanced LMI conditions
    Kheloufi, Houria
    Bedouhene, Fazia
    Zemouche, Ali
    Alessandri, Angelo
    INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (06) : 1189 - 1200
  • [2] Comment on "On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties [Automatica 49 (2013) 3700-3704]"
    Wang, Shenquan
    Jiang, Yulian
    AUTOMATICA, 2014, 50 (10) : 2732 - 2733
  • [3] A Modified Two-Step LMI Method to Design Observer-based controller for Linear Discrete-Time Systems with Parameter Uncertainties
    Bennani, C.
    Bedouhene, F.
    Zemouche, A.
    Bibi, H.
    Aitouche, A.
    2017 6TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC' 17), 2017, : 279 - 284
  • [4] Observer-based robust exponential stabilization for linear systems with parameter uncertainties
    Xuesheng Zhang
    Jian Hu
    Lin Long
    Wei Zhang
    International Journal of Dynamics and Control, 2021, 9 : 257 - 265
  • [5] Observer-based robust exponential stabilization for linear systems with parameter uncertainties
    Zhang, Xuesheng
    Hu, Jian
    Long, Lin
    Zhang, Wei
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2021, 9 (01) : 257 - 265
  • [6] Convex Optimization Approach to Observer-Based Stabilization of Linear Systems with Parameter Uncertainties
    Kheloufi, H.
    Bedouhene, F.
    Zemouche, A.
    Alessandri, A.
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1125 - 1130
  • [7] Dynamic observer-based controllers for linear uncertain systems
    Arash GOLABI
    Mohammad Taghi Hamidi BEHESHTI
    Mohammad Hasan ASEMANI
    JournalofControlTheoryandApplications, 2013, 11 (02) : 193 - 199
  • [8] Dynamic observer-based controllers for linear uncertain systems
    Golabi A.
    Beheshti M.T.H.
    Asemani M.H.
    Journal of Control Theory and Applications, 2013, 11 (02): : 193 - 199
  • [9] Extended state observer-based control for systems with locally Lipschitz uncertainties: LMI-based stability conditions
    Castillo, A.
    Garcia, P.
    Fridman, E.
    Albertos, P.
    SYSTEMS & CONTROL LETTERS, 2019, 134
  • [10] Observer-Based Controllers for Max-Plus Linear Systems
    Hardouin, Laurent
    Shang, Ying
    Maia, Carlos Andrey
    Cottenceau, Bertrand
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) : 2153 - 2165
12345