Constrained stabilization: an enlargement technique of positively invariant sets

被引：6
|
作者：
Benzaouia, Abdellah [1 ]
机构：
[1] Fac Sci Semlalia, Res Unit Constrained & Robust Regulat, Dept Phys, Marrakech, Morocco
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2005年 / 22卷 / 01期
关键词：
linear systems; input saturation; positive invariance; convex hull;
D O I：
10.1093/imamci/dni009
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 presents a new technique of enlargement of positively invariant sets for linear systems with input saturation. This technique is based on the use of the convex hull of the union of N preconstructed positively invariant sets. It is shown that the obtained region is a stability region where the control is always admissible.
引用
收藏
页码：109 / 118
页数：10
相关论文
共 50 条
  • [1] Constrained Uncertain System Stabilization with Enlargement of Invariant Sets
    Hamdi, Walid
    Bey, Wissal
    Benhadj Braiek, Naceur
    COMPLEXITY, 2020, 2020
  • [2] Stabilization of fuzzy systems with constrained controls by using positively invariant sets
    El Hajjaji, A.
    Benzaouia, A.
    Naib, M.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006
  • [3] On maximal robust positively invariant sets in constrained nonlinear systems
    Esterhuizen, Willem
    Aschenbruck, Tim
    Streif, Stefan
    AUTOMATICA, 2020, 119
  • [4] Feedback control based on positively invariant sets for linear constrained systems
    Li, Jinling
    Zhou, Wei
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 471 - +
  • [5] Constrained linear systems with disturbances: Enlargement of their maximal invariant sets by nonlinear feedback
    Ong, Chong-Jin
    Gilbert, Elmer G.
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 158 - +
  • [6] Hierarchical clustering of constrained dynamic systems using robust positively invariant sets
    Wang, Wenqing
    Koeln, Justin P.
    AUTOMATICA, 2023, 147
  • [7] POSITIVELY INVARIANT-SETS OF DISCRETE-TIME-SYSTEMS WITH CONSTRAINED INPUTS
    BURGAT, C
    BENZAOUIA, A
    TARBOURIECH, S
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1990, 21 (07) : 1249 - 1271
  • [8] Analysis and Constrained Control of Nonlinear Interconnected Systems exploiting Positively Invariant Family of Sets
    Kern, Benjamin
    Findeisen, Rolf
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 3806 - 3811
  • [9] POSITIVELY INVARIANT-SETS FOR CONSTRAINED CONTINUOUS-TIME SYSTEMS WITH CONE PROPERTIES
    TARBOURIECH, S
    BURGAT, C
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (02) : 401 - 405
  • [10] ON MAXIMAL ROBUSTLY POSITIVELY INVARIANT SETS
    Hoai Nam Nguyen
    Olaru, Sorin
    Stoican, Florin
    ICINCO 2011: PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS, VOL 1, 2011, : 300 - 305
12345