The Computation of Full-complexity Polytopic Robust Control Invariant Sets

被引：0
|
作者：
Liu, Chengyuan [1 ]
Jaimoukha, Imad M. [1 ]
机构：
[1] Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ, England
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
关键词：
MODEL-PREDICTIVE CONTROL; DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS; STABILIZATION;
D O I：
暂无
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 considers the problem of evaluating robust control invariant (RCI) sets for linear discrete-time systems subject to state and input constraints as well as additive disturbances. An RCI set has the property that if the system state is inside the set at any one time, then it is guaranteed to remain in the set for all future times using a pre-defined state feedback control law. This problem is important in many control applications. We present a numerically efficient algorithm for the computation of full-complexity polytopic RCI sets. Farkas' Theorem is first used to derive necessary and sufficient conditions for the existence of an admissible polytopic RCI set in the form of nonlinear matrix inequalities. An Elimination Lemma is then used to derive sufficient conditions, in the form of linear matrix inequalities, for the existence of the solution. An optimization algorithm to approximate maximal RCI sets is also proposed. Numerical examples are given to illustrate the effectiveness of the proposed algorithm.
引用
收藏
页码：6233 / 6238
页数：6
相关论文
共 50 条
  • [31] Localization of control robust invariant compact sets in continuous systems
    A. N. Kanatnikov
    Differential Equations, 2014, 50 : 1560 - 1564
  • [32] Localization of control robust invariant compact sets in continuous systems
    Kanatnikov, A. N.
    DIFFERENTIAL EQUATIONS, 2014, 50 (11) : 1560 - 1564
  • [33] Invariant sets for a class of nonlinear control systems tractable by symbolic computation
    Harms, Melanie
    Schilli, Christian
    Zerz, Eva
    IFAC PAPERSONLINE, 2023, 56 (02): : 3899 - 3903
  • [34] On the Complexity of Robust Stability Analysis of Polytopic LTI Systems
    Chesi, Graziano
    2018 IEEE WORKSHOP ON COMPLEXITY IN ENGINEERING (COMPENG 2018), 2018,
  • [35] Robust invariant control synthesis for discrete-time polytopic uncertain linear hybrid systems
    Lin, H
    Antsaklis, PJ
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 5221 - 5226
  • [36] Data-driven computation of minimal robust control invariant set
    Chen, Yuxiao
    Peng, Huei
    Grizzle, Jessy
    Ozay, Necmiye
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 4052 - 4058
  • [37] Computation of Invariant Tubes for Robust Output Feedback Model Predictive Control
    Hu, Cheng
    Liu, Chengyuan
    Jaimoukha, Imad M.
    IFAC PAPERSONLINE, 2020, 53 (02): : 7063 - 7069
  • [38] Wind turbine overspeed protection based on polytopic robustly invariant sets
    Hure, Nikola
    Vasak, Mario
    Jelavic, Mate
    Peric, Nedjeljko
    WIND ENERGY, 2016, 19 (09) : 1713 - 1731
  • [39] On the Estimation of Convergence Times to Invariant Sets in Convex Polytopic Uncertain Systems
    McCloy, Ryan J.
    De Dona, Jose A.
    Seron, Maria M.
    ARTIFICIAL LIFE AND COMPUTATIONAL INTELLIGENCE, 2015, 8955 : 62 - 75
  • [40] Computation of Maximal Admissible Robust Positive Invariant Sets for Linear Systems With Parametric and Additive Uncertainties
    Dey, Anchita
    Bhasin, Shubhendu
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 1775 - 1780
12345