Linear matrix inequality conditions for robustness and control design

被引：2
|
作者：
D'Andrea, R [1 ]
机构：
[1] Cornell Univ, Ithaca, NY 14853 USA
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2001年 / 11卷 / 06期
关键词：
synthesis; LMIs; integral constraints; uncertainty; robustness;
D O I：
10.1002/rnc.562
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 paper, well-known stability conditions for linear, time-invariant systems subject to structured uncertainty are extended to encompass matrix valued and affine integral constraints on the system inputs and outputs. Necessary and sufficient analysis conditions are derived in terms of linear matrix inequalities. For a large class of these problems, the synthesis question can also be expressed as a linear matrix inequality. Copyright (C) 2001 John Wiley & Sons, Ltd.
引用
收藏
页码：541 / 554
页数：14
相关论文
共 50 条
  • [1] The iterative linear matrix inequality suboptimal design of decentralized ∞ control
    Yongfang Xie
    Weihua Gui
    Xiaoying Liu
    Min Wu
    [J]. Journal of Central South University of Technology, 1999, 6 (2): : 130 - 133
  • [2] THE ITERATIVE LINEAR MATRIX INEQUALITY SUBOPTIMAL DESIGN OF DECENTRALIZED H∞ CONTROL
    Xie Yongfang Gui Weihua Liu Xiaoying Wu Min (College of Information Engineering
    [J]. Journal of Central South University, 1999, (02) : 130 - 133
  • [3] Parameterized linear matrix inequality techniques in fuzzy control system design
    Tuan, HD
    Apkarian, P
    Narikiyo, T
    Yamamoto, Y
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (02) : 324 - 332
  • [4] Convexifying linear matrix inequality methods for integrating structure and control design
    Camino, JF
    de Oliveira, MC
    Skelton, RE
    [J]. JOURNAL OF STRUCTURAL ENGINEERING, 2003, 129 (07) : 978 - 988
  • [5] Compressor Surge Control Design Using Linear Matrix Inequality Approach
    Uddin, Nur
    Gravdahl, Jan Tommy
    [J]. 2017 5TH INTERNATIONAL CONFERENCE ON INSTRUMENTATION, CONTROL, AND AUTOMATION (ICA), 2017, : 1 - 6
  • [6] CONDITIONS FOR NONPOSITIVE SOLUTIONS OF LINEAR MATRIX INEQUALITY
    MOLINARI, BP
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1975, 20 (06) : 804 - 806
  • [7] Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach
    Davoodi, M. R.
    Golabi, A.
    Talebi, H. A.
    Momeni, H. R.
    [J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2012, 134 (06):
  • [8] Linear matrix inequality formulation of fault-tolerant control systems design
    Chen, J
    [J]. ON-LINE FAULT DETECTION AND SUPERVISION IN THE CHEMICAL PROCESS INDUSTRIES 1998, 1998, : 371 - 376
  • [9] TCSC controller design based on output feedback control with linear matrix inequality
    Ishimaru, M
    Shirai, G
    Niioka, S
    Yokoyama, R
    [J]. POWER PLANTS AND POWER SYSTEMS CONTROL 2000, 2000, : 185 - 190
  • [10] Systematic linear matrix inequality conditions to design a robust decentralised observer-based optimal control for interconnected systems
    Tlili, A. S.
    Braiek, N. Benhadj
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (18): : 2737 - 2747
12345