Economic model predictive control for time-varying system: Performance and stability results

被引：18

作者：

Gruene, Lars ^{[1
]}

Pirkelmann, Simon ^{[1
]}

机构：

[1] Univ Bayreuth, Math Inst, Chair Appl Math, Bayreuth, Germany

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2020年 / 41卷 / 01期

关键词：

asymptotic stability; dissipativity; economic model predictive control; time-varying systems; turnpike property;

D O I：

10.1002/oca.2492

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider economic model predictive control (MPC) without terminal conditions for time-varying optimal control problems. Under appropriate conditions, we prove that MPC yields initial pieces of approximately infinite horizon optimal trajectories and that the optimal infinite horizon trajectory is practically asymptotically stable. The results are illustrated by numerical examples motivated by energy-efficient heating and cooling of a building.

引用

页码：42 / 64

页数：23

共 50 条

[21] New Results on Stability of Linear Discrete-Time Systems With Time-Varying Delay [J].

Chen, Jun ;

Chen, Xiangyong .

IEEE ACCESS, 2020, 8 :180722-180727

[22] Improved results on fixed-time stability of switched nonlinear time-varying systems [J].

Chen, Guopei ;

Deng, Feiqi ;

Yang, Ying .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41

[23] Performance of periodically time-varying controllers for sampled data control [J].

Zhang, CS ;

Zhang, JX .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) :1607-1611

[24] Robust absolute stability of time-varying nonlinear discrete-time system [J].

Molchanov, AP ;

Liu, DR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08) :1129-1137

[25] Economic Linear Parameter Varying Model Predictive Control of the Aeration System of a Wastewater Treatment Plant [J].

Nejjari, Fatiha ;

Khoury, Boutrous ;

Puig, Vicenc ;

Quevedo, Joseba ;

Pascual, Josep ;

de Campos, Sergi .

SENSORS, 2022, 22 (16)

[26] Robust Data-Driven Predictive Control for Linear Time-Varying Systems [J].

Hu, Kaijian ;

Liu, Tao .

IEEE CONTROL SYSTEMS LETTERS, 2024, 8 :910-915

[27] A Linear Time-Varying Inequality Approach for Prescribed Time Stability and Stabilization [J].

Zhou, Bin ;

Zhang, Kang-Kang .

IEEE TRANSACTIONS ON CYBERNETICS, 2023, 53 (03) :1880-1889

[28] Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay [J].

Hu, Meng ;

Yang, Xin-Guang ;

Yuan, Jinyun .

APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 89 (01)

[29] New results on exponential stability of time-varying systems using logarithmic norm [J].

Hammi, Mekki .

GEORGIAN MATHEMATICAL JOURNAL, 2025,

[30] Stabilizing model predictive control of time-varying non-linear systems using linear matrix inequalities [J].

He, De-Feng ;

Huang, Hua ;

Chen, Qiu-Xia .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (01) :21-35

← 1 2 3 4 5 →