Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters

被引：160
|
作者：
Heemels, W. P. Maurice H. [1 ]
Daafouz, Jamal [2 ]
Millerioux, Gilles [3 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, Hybrid & Networked Syst Grp, NL-5600 MB Eindhoven, Netherlands
[2] Nancy Univ, UMR CNRS 7039, CRAN, F-54516 Vandoeuvre Les Nancy, France
[3] Nancy Univ, ESSTIN, UMR CNRS 7039, CRAN, F-54519 Vandoeuvre Les Nancy, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 09期
关键词：
Linear matrix inequalities (LMIs); linear parameter-varying (LPV) systems; output feedback and observers; robust control; separation principle; LINEAR-SYSTEMS; STABILIZATION; FEEDBACK; DESIGN;
D O I：
10.1109/TAC.2010.2051072
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient performance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability.
引用
收藏
页码：2130 / 2135
页数：6
相关论文
共 50 条
  • [31] Observer-based delayed-feedback control for discrete-time chaotic systems
    Konishi, K
    Kokame, H
    [J]. PHYSICS LETTERS A, 1998, 248 (5-6) : 359 - 368
  • [32] Robust periodic observer-based control for periodic discrete-time LTV systems
    Agulhari, Cristiano M.
    Lacerda, Marcio J.
    [J]. 2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 2942 - 2947
  • [33] Observer-based discrete-time sliding mode control for systems with unmatched uncertainties
    Wang, Jiepeng
    Chen, Michael Z. Q.
    Zhang, Liangyin
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (16): : 8470 - 8484
  • [34] Observer-Based H∞ Control on Nonhomogeneous Discrete-Time Markov Jump Systems
    Yin, Yanyan
    Shi, Peng
    Liu, Fei
    Teo, Kok Lay
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2013, 135 (04):
  • [35] Robust Performance and Observer Based Control for Periodic Discrete-Time Uncertain Systems
    Keles, Natalia A.
    Lacerda, Marcio J.
    Agulhari, Cristiano M.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
  • [36] Finite-time stability and observer-based control for nonlinear uncertain discrete-time switched system
    Dong, Yali
    Tang, Xinyue
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (04):
  • [37] Finite-time stability and observer-based control for nonlinear uncertain discrete-time switched system
    Yali Dong
    Xinyue Tang
    [J]. Computational and Applied Mathematics, 2023, 42
  • [38] Robust Observer-Based Controller Design for Uncertain Discrete-time Systems in Finite Frequency Domain
    Rachid, Ismail Er
    Chaibi, Redouane
    El Haiek, Badreddine
    Tissir, El Houssaine
    Hmamed, Abdelaziz
    [J]. PROCEEDINGS OF 2018 6TH INTERNATIONAL CONFERENCE ON MULTIMEDIA COMPUTING AND SYSTEMS (ICMCS), 2018, : 104 - 109
  • [39] Observer-based Robust Reliable H∞ Control for Uncertain Time-delay Discrete-time Systems in the Presence of Sensor Failure
    Wang, Wu
    Cai, Fenghuang
    Cui, Fujun
    Yang, Fuwen
    [J]. 2008 10TH INTERNATIONAL CONFERENCE ON CONTROL AUTOMATION ROBOTICS & VISION: ICARV 2008, VOLS 1-4, 2008, : 1489 - 1493
  • [40] Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems
    Wu, Bei
    Chen, Mou
    Chen, Xiaoming
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
12345