| This Paper:Browse 22 Download 0 |
码上扫一扫！ |
| Switched model predictive control with non-uniform penalty for
switched systems |
| FeiyueWu1,JieLian1,WeiWang1 |
|
|
| (Key Laboratory of Intelligent Control and Optimization for
Industrial Equipment, Ministry of Education, and the School
of Control Science and Engineering, Dalian University of
Technology, Dalian 116024, China) |
|
| 摘要: |
| This paper presents a switched model predictive control (MPC) with non-uniform penalty for discrete-time constrained
switched linear systems. A non-uniform time-varying stage cost penalty is incorporated to reduce the required prediction
horizon while guaranteeing closed-loop stability. To address feasibility challenges arising from mode-dependent state constraints,
switching invariant sets are constructed to ensure persistent feasibility under minimal dwell-time constraints. Explicit
conditions on dwell time, weighting parameters, and penalty rates are derived to guarantee asymptotic stability of the closedloop
system. Furthermore, an algorithm for computing the maximal switching invariant sets is developed. The proposed
method is validated through a vehicle longitudinal control case study, demonstrating its effectiveness and computational
efficiency. |
| 关键词: Switched system · Model predictive control · Switching invariant set · Dwell-time constraint |
| DOI：https://doi.org/10.1007/s11768-025-00314-1 |
|
| 基金项目:This work was supported in part by the National Natural Science
Foundation of China under Grants 62573088, 62203083 and
62173061, in part by the Doctoral Start-up Foundation of Liaoning
Province under Grant 2024-BSBA-11, and in part by the Liaoning
Provincial Science and Technology Joint Program under Grant
2023JH2/101300200. |
|
| Switched model predictive control with non-uniform penalty forswitched systems |
| Feiyue Wu1,Jie Lian1,Wei Wang1 |
| (Key Laboratory of Intelligent Control and Optimization for
Industrial Equipment, Ministry of Education, and the School
of Control Science and Engineering, Dalian University of
Technology, Dalian 116024, China) |
| Abstract: |
| This paper presents a switched model predictive control (MPC) with non-uniform penalty for discrete-time constrained
switched linear systems. A non-uniform time-varying stage cost penalty is incorporated to reduce the required prediction
horizon while guaranteeing closed-loop stability. To address feasibility challenges arising from mode-dependent state constraints,
switching invariant sets are constructed to ensure persistent feasibility under minimal dwell-time constraints. Explicit
conditions on dwell time, weighting parameters, and penalty rates are derived to guarantee asymptotic stability of the closedloop
system. Furthermore, an algorithm for computing the maximal switching invariant sets is developed. The proposed
method is validated through a vehicle longitudinal control case study, demonstrating its effectiveness and computational
efficiency. |
| Key words: Switched system · Model predictive control · Switching invariant set · Dwell-time constraint |
