Switching Model Predictive Control for Perturbed Max-Plus Linear Systems via Minimum Dwell-Time

• 成果类型: Article
• 署名作者: Wang, Jin; Yang, Hongjiu; Zuo, Zhiqiang; Mu, Chaoxu
• 署名单位: Tianjin University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3503474
• 发表日期: 2025
• 页码: 2802-2809
• 关键词: Linear systems; switches; Perturbation methods; Stability criteria; Numerical stability; optimal control; Hypercubes; asymptotic stability; measurement; vectors; Dwell-time; max-plus linear system; perturbation; switching model predictive control (MPC); switching stability

摘要

In this article, switching model predictive control (MPC) is proposed for a perturbed max-plus linear system with a reference signal. The lack of stability guarantee for MPC brings difficulties in reducing tracking errors caused by perturbations in the perturbed max-plus linear system. To reduce tracking errors, the perturbed max-plus linear system is partitioned into a switching max-plus linear system by a permutation matrix. Based on a local maximum terminal set, each mode of the switching max-plus linear system is assigned with an optimal control problem to track the reference signal. Minimum dwell-time is designed to ensure the feasibility of the switching MPC and the stability of the switching max-plus linear system via Hausdorff metric analyses and infinity-norm hypercube invariance. Numerical simulations show the effectiveness and superiority of the switching MPC for a perturbed max-plus linear system.