Control of linear systems subject to input constraints: a polynomial approach

被引:42
作者
Henrion, D
Tarbouriech, S
Kucera, V
机构
[1] CNRS, Lab Anal & Architecture Syst, F-31077 Toulouse 4, France
[2] Czech Tech Univ, Dept Control Engn, Fac Elect Engn, Prague 16627 6, Czech Republic
[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208 8, Czech Republic
关键词
linear systems; input constraints; polynomial methods; Youla-Kucera parametrization; convex programming;
D O I
10.1016/S0005-1098(00)00193-X
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A polynomial approach is pursued For locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Kucera parametrization and geometric properties of polyhedra and ellipsoids, the problem of simultaneously deriving a stabilizing controller and the corresponding stability region is cast into standard convex optimization problems solved by linear, second-order cone and semidefinite programming. Key topics are touched on such as stabilization of multi-input multi-output plants or maximization of the size of the stability domain. Readily implementable algorithms are described. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:597 / 604
页数:8
相关论文
共 50 条
[41]   Input Redundancy of Switched Linear Systems via Polynomial Parameter-Dependent Systems [J].
Viana, V. V. ;
Kreiss, J. ;
Jungers, M. .
IEEE CONTROL SYSTEMS LETTERS, 2024, 8 :1066-1071
[42]   Stabilization of continuous-time linear systems subject to input quantization [J].
Ferrante, Francesco ;
Gouaisbaut, Frederic ;
Tarbouriech, Sophie .
AUTOMATICA, 2015, 58 :167-172
[43]   On finite-gain stabilizability of linear systems subject to input saturation [J].
Liu, WS ;
Chitour, Y ;
Sontag, E .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (04) :1190-1219
[44]   Optimal Consensus Control for Multi-Agent Systems with Input Constraints: A State Decomposition Approach [J].
Lee, HoSub ;
Park, In Seok ;
Park, PooGyeon .
2021 SECOND INTERNATIONAL SYMPOSIUM ON INSTRUMENTATION, CONTROL, ARTIFICIAL INTELLIGENCE, AND ROBOTICS (ICA-SYMP), 2021, :70-73
[45]   Deadbeat Control for Linear Systems with State Constraints [J].
Baang, Dane ;
Chwa, Dongkyoung .
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (04) :1242-1245
[46]   Minimax control for a class of linear systems subject to disturbances [J].
Chernousko, FL .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (03) :535-548
[47]   Integral Control of Stable MIMO Nonlinear Systems with Input Constraints [J].
Lorenzetti, Pietro ;
Weiss, George .
IFAC PAPERSONLINE, 2021, 54 (14) :209-214
[48]   Output feedback control of parabolic PDE systems with input constraints [J].
El-Farra, NH ;
Armaou, A ;
Christofides, PD .
PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, :541-546
[49]   Feedforward control design for nonlinear systems under input constraints [J].
Graichen, K ;
Zeitz, M .
CONTROL AND OBSERVER DESIGN FOR NONLINEAR FINITE AND INFINITE DIMENSIONAL SYSTEMS, 2005, 322 :235-252
[50]   Optimal sliding-mode control of linear systems with uncertainties and input constraints using projection neural network [J].
Toshani, Hamid ;
Farrokhi, Mohammad .
OPTIMAL CONTROL APPLICATIONS & METHODS, 2018, 39 (02) :963-980