Constrained stabilization: an enlargement technique of positively invariant sets

被引:7
|
作者
Benzaouia, Abdellah [1 ]
机构
[1] Fac Sci Semlalia, Res Unit Constrained & Robust Regulat, Dept Phys, Marrakech, Morocco
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
  • [31] Output feedback stabilization of invariant sets for switched systems
    Lin, Xiang-Ze
    Zou, Yun
    Li, Shi-Hua
    Qian, Yan-Ping
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2009, 26 (08): : 907 - 910
  • [32] ONE METHOD OF CONSTRUCTING POSITIVELY INVARIANT-SETS FOR A LORENZ SYSTEM
    LEONOV, GA
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1985, 49 (05): : 660 - 663
  • [33] Simple LP-type criteria for positively invariant polyhedral sets
    Yoshida, K
    Kawabe, H
    Nishimura, Y
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (01) : 98 - 101
  • [34] POSITIVELY INVARIANT CLOSED SETS FOR SYSTEMS OF DELAY DIFFERENTIAL-EQUATIONS
    SEIFERT, G
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 22 (02) : 292 - 304
  • [35] POSITIVELY INVARIANT-SETS FOR SINGULAR DISCRETE-TIME-SYSTEMS
    TARBOURIECH, S
    CASTELAN, EB
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1993, 24 (09) : 1687 - 1705
  • [36] Parametric robust positively invariant sets for linear systems with scaled disturbances
    Darup, Moritz Schulze
    Schaich, Rainer Manuel
    Cannon, Mark
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 1496 - 1501
  • [37] SPACECRAFT DEBRIS AVOIDANCE USING POSITIVELY INVARIANT CONSTRAINT ADMISSIBLE SETS
    Baldwin, Morgan
    Weiss, Avishai
    Kolmanovsky, Ilya
    Erwin, R. Scott
    SPACEFLIGHT MECHANICS 2012, 2012, 143 : 2209 - +
  • [38] THE STABILITY OF COMPACT POSITIVELY INVARIANT-SETS OF DYNAMIC-SYSTEMS
    KALITINE, B
    RAIRO-AUTOMATIQUE-SYSTEMS ANALYSIS AND CONTROL, 1982, 16 (03): : 275 - 286
  • [39] Automated Driving: Safe Motion Planning Using Positively Invariant Sets
    Berntorp, Karl
    Weiss, Avishai
    Danielson, Claus
    Kolmanovsky, Ilya V.
    Di Cairano, Stefano
    2017 IEEE 20TH INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS (ITSC), 2017,
  • [40] ONE METHOD OF CONSTRUCTING POSITIVELY INVARIANT SETS FOR A LORENZ SYSTEM.
    Leonov, G.A.
    1600, (49):