Stability of Barrier Model Predictive Control

被引：0

作者：

Pouilly-Cathelain, Maxime ^{[1
,2
]}

Feyel, Philippe ^{[1
]}

Duc, Gilles ^{[2
]}

Sandou, Guillaume ^{[2
]}

机构：

[1] Safran Elect & Def, Massy, France

[2] Univ Paris Saclay, CentraleSupelec, L2S, CNRS, Gif Sur Yvette, France

来源：

ICINCO: PROCEEDINGS OF THE 17TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS | 2020年

关键词：

Model Predictive Control; Nonlinear Constraints; Barrier functions; Stability Analysis; Invariant Set; RECEDING HORIZON CONTROL; SYSTEMS;

D O I：

10.5220/0009821001500158

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the last decades, industrial problems have tried to take into account constraints explicitly in the design of the control law. Model Predictive Control is one way to do so and has been extensively studied. However, most papers related to constrained Model Predictive Control often omit to consider nondifferentiable constraints and stability is not ensured when constraints are not satisfied. The aim of this paper is to propose a formulation of the cost function of a Model Predictive Control to ensure stability in face with input and state nondifferentiable constraints. For this purpose, a set where all constraints are satisfied is defined by means of the invariant set theory. Once this set is defined, the system is enforced to reach it and stay in, while guaranteeing stability thanks to the choice of a well suited Lyapunov function based on the cost function.

引用

页码：150 / 158

页数：9

共 50 条

[41] A Control Barrier Function Perspective on Lyapunov-Based Economic Model Predictive Control
Durand, Helen
Ames, Aaron D.
2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 2823 - 2828
[42] Stability analysis for predictive functional control based on Laguerre model
Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China
Kongzhi yu Juece Control Decis, 2008, 5 (515-519):
[43] Stability-constrained model predictive control with state estimation
Cheng, X
Krogh, BH
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2493 - 2498
[44] Input-to-state stability for nonlinear model predictive control
Magni, L.
Raimondo, D. M.
Scattolini, R.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4838 - 4840
[45] Stability of Progressively Tightening Model Predictive Control in Continuous Time
Baumgaertner, Katrin
Diehl, Moritz
IFAC PAPERSONLINE, 2024, 58 (18): : 349 - 355
[46] Robust stability conditions for SISO model predictive control algorithms
Badgwell, TA
AUTOMATICA, 1997, 33 (07) : 1357 - 1361
[47] Long Term Voltage Stability Enhancement by Model Predictive Control
Yu, Peijia
Jiang, Tingting
Zhang, Jing
MECHATRONICS AND APPLIED MECHANICS, PTS 1 AND 2, 2012, 157-158 : 1553 - +
[48] Stability criterion for the intensification of batch processes with model predictive control
Kahm, Walter
Vassiliadis, Vassilios S.
CHEMICAL ENGINEERING RESEARCH & DESIGN, 2018, 138 : 292 - 313
[49] Feasibility and Stability of a Kind of Model Predictive Control with Additive Uncertainties
Li Jun-ling and Zhang Shu-gong (Institute of Mathematics
Communications in Mathematical Research, 2009, 25 (04) : 299 - 308
[50] MODEL PREDICTIVE CONTROL - STABILITY CONDITIONS OF MULTIINPUT MULTIOUTPUT SYSTEM
OHSHIMA, M
HASHIMOTO, I
OHNO, H
KAGAKU KOGAKU RONBUNSHU, 1991, 17 (02) : 371 - 379

← 1 2 3 4 5 →