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

被引:17
作者
Gruene, Lars [1 ]
Pirkelmann, Simon [1 ]
机构
[1] Univ Bayreuth, Math Inst, Chair Appl Math, Bayreuth, Germany
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
收藏
页码:42 / 64
页数:23
相关论文
共 50 条
  • [21] New Results on Stability of Linear Discrete-Time Systems With Time-Varying Delay
    Chen, Jun
    Chen, Xiangyong
    [J]. IEEE ACCESS, 2020, 8 : 180722 - 180727
  • [22] Improved results on fixed-time stability of switched nonlinear time-varying systems
    Chen, Guopei
    Deng, Feiqi
    Yang, Ying
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
  • [23] Performance of periodically time-varying controllers for sampled data control
    Zhang, CS
    Zhang, JX
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) : 1607 - 1611
  • [24] Robust absolute stability of time-varying nonlinear discrete-time system
    Molchanov, AP
    Liu, DR
    [J]. 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
    Nejjari, Fatiha
    Khoury, Boutrous
    Puig, Vicenc
    Quevedo, Joseba
    Pascual, Josep
    de Campos, Sergi
    [J]. SENSORS, 2022, 22 (16)
  • [26] Robust Data-Driven Predictive Control for Linear Time-Varying Systems
    Hu, Kaijian
    Liu, Tao
    [J]. IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 910 - 915
  • [27] A Linear Time-Varying Inequality Approach for Prescribed Time Stability and Stabilization
    Zhou, Bin
    Zhang, Kang-Kang
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2023, 53 (03) : 1880 - 1889
  • [28] Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay
    Hu, Meng
    Yang, Xin-Guang
    Yuan, Jinyun
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 89 (01)
  • [29] New results on exponential stability of time-varying systems using logarithmic norm
    Hammi, Mekki
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2025,
  • [30] Stabilizing model predictive control of time-varying non-linear systems using linear matrix inequalities
    He, De-Feng
    Huang, Hua
    Chen, Qiu-Xia
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (01) : 21 - 35