Economic Model Predictive Control of Sampled-Data Linear Systems With Piecewise Constant Control

被引：1

作者：

Liang, Haojiao ^{[1
]}

Li, Huiping ^{[1
]}

Xu, Demin ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Shaanxi, Peoples R China

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2019年 / 141卷 / 12期

基金：

中国国家自然科学基金;

关键词：

TO-STATE-STABILITY; OPTIMIZATION;

D O I：

10.1115/1.4044357

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 studies an economic model predictive control (EMPC) problem for sampled-data linear systems with system constraints. The cost function consists of an economic part and a regulatory part, and a new EMPC algorithm with piecewise constant control is designed. Iterative feasibility of the designed optimization problem and input-to-state stability (ISS) of the closed-loop system are proved. In particular, we show that the closed-loop system is input-to-state stable with respect to the supremum norm of the economic cost, and the system state is ultimately bounded within a bound determined by the economic cost. Through thorough simulations, the effectiveness of the designed algorithm is verified and the tradeoff between control and economic performance is demonstrated.

引用

页数：8

共 50 条

[21] Robust stabilization of linear sampled-data control systems
Zhang XianMing
Wu Min
She Jinhua
[J]. PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2, 2005, : 596 - 599
[22] Synchronization Analysis of Piecewise-Linear Lur'e Systems under Sampled-Data Control
Zani, Antonio
Flores, Jeferson V.
Gomes da Silva, Joao Manoel, Jr.
[J]. IFAC PAPERSONLINE, 2018, 51 (25): : 234 - 239
[23] Data-Driven Model Predictive Control for Aperiodic Sampled-Data Nonlinear Systems
Fu, Shijia
Sun, Haoyuan
Han, Honggui
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2024, 54 (03): : 1960 - 1971
[24] Lebesgue-Approximation Model Predictive Control of Nonlinear Sampled-Data Systems
Tao, Jie
Yang, Lixing
Wu, Zheng-Guang
Wang, Xiaofeng
Su, Hongye
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (10) : 4047 - 4060
[25] Sampled-data nonlinear model predictive control for constrained continuous time systems
Findeisen, Rolf
Raff, Tobias
Allgoewer, Frank
[J]. ADVANCED STRATEGIES IN CONTROL SYSTEMS WITH INPUT AND OUTPUT CONSTRAINTS, 2007, 346 : 207 - 235
[26] A Framework for Predictive Control of Sampled-Data Systems Using Sporadic Model Approximation
Yang, Lixing
Dauchert, Samuel
Wang, Xiaofeng
[J]. 2021 AMERICAN CONTROL CONFERENCE (ACC), 2021, : 4686 - 4691
[27] Sampled-data state feedback control of piecewise-affine systems
Rodrigues, Luis
[J]. 2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 4487 - 4492
[28] Generalization of Piecewise Constant Approximation in the L∞/L2 Optimal Control of Sampled-Data Systems
Kim, Jung Hoon
Hagiwara, Tomomichi
[J]. 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 2839 - 2844
[29] Robustness of linear uncertain sampled-data control systems with generalized sampled-data hold functions
Jin, Hui-Liang
Mirkin, Leonid
Palmor, Zalman J.
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (07) : 649 - 673
[30] Non-linear prediction horizon time-discretization for model predictive control of linear sampled-data systems
Gondhalekar, Ravi
Imura, Jun-ichi
[J]. PROCEEDINGS OF THE 2006 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1-4, 2006, : 326 - +

← 1 2 3 4 5 →