A reference governor for linear systems with polynomial constraints

被引:7
作者
Burlion, Laurent [1 ]
Schieni, Rick [1 ]
Kolmanovsky, Ilya, V [2 ]
机构
[1] Rutgers State Univ, Piscataway, NJ 08854 USA
[2] Univ Michigan, Ann Arbor, MI 48109 USA
关键词
Reference governors; Nonlinear systems; Control of constrained systems; Polynomial methods;
D O I
10.1016/j.automatica.2022.110313
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples. (C) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数:5
相关论文
共 12 条
[1]   Solving quadratic distance problems: An LMI-based approach [J].
Chesi, G ;
Garulli, A ;
Tesi, A ;
Vicino, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :200-212
[2]   Reference and command governors for systems with constraints: A survey on theory and applications [J].
Garone, Emanuele ;
Di Cairano, Stefano ;
Kolmanovsky, Ilya .
AUTOMATICA, 2017, 75 :306-328
[3]   LINEAR-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS - THE THEORY AND APPLICATION OF MAXIMAL OUTPUT ADMISSIBLE-SETS [J].
GILBERT, EG ;
TAN, KT .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (09) :1008-1020
[4]  
Isidori A, 1995, NONLINEAR CONTROL SYSTEMS DESIGN 1995, VOLS 1 AND 2, P87
[5]  
Kalabic U, 2014, IEEE DECIS CONTR P, P6701, DOI 10.1109/CDC.2014.7040441
[6]  
Kalabic U, 2011, IEEE DECIS CONTR P, P2680, DOI 10.1109/CDC.2011.6161238
[7]  
Krener A., 2015, Encyclopedia of Systems and Control, P428
[8]   Spacecraft Attitude Control With Nonconvex Constraints: An Explicit Reference Governor Approach [J].
Nicotra, Marco M. ;
Liao-McPherson, Dominic ;
Burlion, Laurent ;
Kolmanovsky, Ilya V. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (08) :3677-3684
[9]   The Explicit Reference Governor A GENERAL FRAMEWORK FOR THE CLOSED-FORM CONTROL OF CONSTRAINED NONLINEAR SYSTEMS [J].
Nicotra, Marco M. ;
Garone, Emanuele .
IEEE CONTROL SYSTEMS MAGAZINE, 2018, 38 (04) :89-107
[10]   A New Reference Governor Strategy For Union of Linear Constraints [J].
Romagnoli, Raffaele ;
Couto, Luis D. ;
Garone, Emanuele .
IFAC PAPERSONLINE, 2020, 53 (02) :5499-5504