Model Predictive Control for Linear Systems Under Relaxed Constraints

被引：7

作者：

Rakovic, Sasa V. V. ^{[1
]}

Zhang, Sixing ^{[1
]}

Sun, Haidi ^{[1
]}

Xia, Yuanqing ^{[1
]}

机构：

[1] Beijing Inst Technol, Beijing 100081, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 01期

关键词：

Linear systems; Proposals; Costs; Blood pressure; model predictive control; relaxed constraints; STABILITY;

D O I：

10.1109/TAC.2021.3137085

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 article considers model predictive control (MPC) for linear systems under relaxed constraints. The main novelty of our proposal is the introduction, and an adequate use, of the terminal dynamics of the slack variable associated with relaxed constraints. The proposed MPC under relaxed constraints retains computational efficiency of the traditional MPC, while it guarantees positive invariance and exponential stability over an enlarged domain of attraction. The design method is also illustrated in a step-by-step manner by an academic example.

引用

页码：369 / 376

页数：8

共 50 条

[1] Model Predictive Control of Linear Stochastic Systems with Constraints
Yu, Shuyou
Qu, Ting
Xu, Fang
Chcn, Hong
2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 950 - 955
[2] Robust model predictive control of linear systems with constraints
Yu, Shuyou
Guo, Yang
Zhou, Yu
Chen, Hong
2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 928 - 933
[3] Robust Model Predictive Control for Linear Systems with Constraints
Zhang, Xuelian
Hu, Lisheng
Cao, Guangyi
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 5514 - 5519
[4] Model Predictive Control with a Relaxed Cost Function for Constrained Linear Systems
Sotelo, David
Favela-Contreras, Antonio
Kalashnikov, Viacheslav V.
Sotelo, Carlos
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[5] Model Predictive Control of Stochastic Linear Systems with Probability Constraints
Caruntu, C. F.
Velandia-Cardenas, C. C.
Liu, X.
Vargas, A. N.
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2018, 13 (06) : 927 - 937
[6] Relaxed Logarithmic Barrier Function Based Model Predictive Control of Linear Systems
Feller, Christian
Ebenbauer, Christian
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (03) : 1223 - 1238
[7] Fast model predictive control for linear periodic systems with state and control constraints
Hoai-Nam Nguyen
Bourdais, Romain
Gutman, Per-Olof
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (17) : 3703 - 3726
[8] Model predictive control for continuous linear systems with state inequality constraints
Hedjar, Ramdane
PROCEEDINGS OF THE 2013 IEEE 8TH CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2013, : 393 - 396
[9] Output feedback model predictive control for linear systems with input constraints
Sun, Dehui
Li, Zhijun
Shi, Yuntao
Zhang, Junjie
2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 2445 - 2449
[10] Cooperative Control of Linear Systems with Coupled Constraints via Distributed Model Predictive Control
Zhou, Lifeng
Li, Shaoyuan
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 7569 - 7574

← 1 2 3 4 5 →