On LMI Approach to Robust State-Feedback Roo Control for Discrete-Time Descriptor Systems with Uncertainties in All Matrices

被引：2
|
作者：
Belov, Alexey A. [1 ,2 ]
Andrianova, Olga G. [2 ,3 ]
机构：
[1] ITMO Univ, Dept Control Syst & Informat, St Petersburg, Russia
[2] Russian Acad Sci, VA Trapeznikov Inst Control Sci, Lab Dynam Control Syst, Moscow, Russia
[3] Bauman Moscow State Tech Univ, Dept Fundamental Sci, Moscow, Russia
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Descriptor systems; suboptimal control; uncertain linear systems; H-infinity control; robust performance; robust control; H-INFINITY CONTROL; CONTROL DESIGN; SINGULAR SYSTEMS; LINEAR-SYSTEMS;
D O I：
10.1016/j.ifacol.2017.08.2114
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 a state feedback H-infinity control problem for linear discrete-time time-invariant (LDTI) uncertain descriptor systems. Considered systems contain norm-bounded parametric uncertainties in all matrices. Bounded real lemma (BRL) for descriptor systems with all known matrices is extended on the class of uncertain systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical example is included to illustrate the effectiveness of the present result. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：15483 / 15487
页数：5
相关论文
共 50 条
  • [1] Robust state-feedback control for discrete-time descriptor systems with norm-bounded parametric uncertainties
    Belov, Alexey A.
    Andrianova, Olga G.
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (06) : 1303 - 1312
  • [2] Robust H∞ state-feedback design for discrete-time descriptor systems
    Rodriguez, Carlos
    Barbosa, Karina A.
    Coutinho, Daniel
    [J]. IFAC PAPERSONLINE, 2018, 51 (25): : 78 - 83
  • [3] Robust H state feedback control of discrete-time systems with state delay: an LMI approach
    Leite, V. J. S.
    Tarbouriech, S.
    Peres, P. L. D.
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (03) : 357 - 373
  • [4] Gain scheduled state feedback control of discrete-time systems with time-varying uncertainties: an LMI approach
    Montagner, Vinicius F.
    Oliveira, Ricardo C. L. F.
    Leite, Valter J. S.
    Peres, Pedro L. D.
    [J]. 2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 4305 - 4310
  • [5] State-Feedback Control for Cyber-Physical Discrete-Time Systems under Replay Attacks: An LMI Approach
    Moreira, Jose F. V. D.
    Lacerda, Marcio J.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [6] LMI Conditions for Stability and State-Feedback H∞ Control of Discrete-Time Multimode Multidimensional Systems
    Medero, Ariel
    Sename, Olivier
    Puig, Vicenc
    [J]. IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 2876 - 2881
  • [7] An LMI approach towards H∞ control of discrete-time descriptor systems
    Rehm, A
    Allgöwer, F
    [J]. PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 614 - 619
  • [8] State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
    Borawski, Kamil
    [J]. APPLIED SCIENCES-BASEL, 2021, 11 (22):
  • [9] ROBUST H∞ DYNAMIC STATE-FEEDBACK CONTROL FOR NONLINEAR DISCRETE-TIME SYSTEMS VIA LMI-BASED REGIONAL EIGENVALUE ASSIGNMENT
    Baker, W. Alexander, Jr.
    Schneider, Susan C.
    Yaz, Edwin E.
    [J]. PROCEEDINGS OF THE ASME 9TH ANNUAL DYNAMIC SYSTEMS AND CONTROL CONFERENCE, 2016, VOL 1, 2017,
  • [10] FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties
    Lee, Dong Hwan
    Park, Jin Bae
    Joo, Young Hoon
    Kim, Sung Kwan
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (04) : 906 - 914
12345