利用模型预测控制实现受限离散时间系统的有限时间稳定

IF 15.3 1区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Ieee-Caa Journal of Automatica Sinica Pub Date : 2024-06-12 DOI:10.1109/JAS.2024.124212

Bing Zhu;Xiaozhuoer Yuan;Li Dai;Zhiwen Qiang

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引用次数: 0

摘要

本文提出了一种模型预测控制（MPC）框架，用于受状态和控制约束的线性和非线性离散时间系统的有限时间稳定。所提出的 MPC 框架通过分配与整个系统维度相等的控制范围，并在优化过程中只惩罚终端成本，而不明确惩罚阶段成本，从而保证了有限时间收敛特性。为保证闭环系统的可行性和稳定性，还添加了终端不等式约束。初始可行性可以通过增强来改善。本文从理论上证明了所提出的 MPC 的有限时间收敛性，并通过仿真实例予以支持。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite-Time Stabilization for Constrained Discrete-time Systems by Using Model Predictive Control

In this paper, a model predictive control (MPC) framework is proposed for finite-time stabilization of linear and nonlinear discrete-time systems subject to state and control constraints. The proposed MPC framework guarantees the finite-time convergence property by assigning the control horizon equal to the dimension of the overall system, and only penalizing the terminal cost in the optimization, where the stage costs are not penalized explicitly. A terminal inequality constraint is added to guarantee the feasibility and stability of the closed-loop system. Initial feasibility can be improved via augmentation. The finite-time convergence of the proposed MPC is proved theoretically, and is supported by simulation examples.

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来源期刊

Ieee-Caa Journal of Automatica Sinica Engineering-Control and Systems Engineering

CiteScore

23.50

自引率

11.00%

发文量

880

期刊介绍： The IEEE/CAA Journal of Automatica Sinica is a reputable journal that publishes high-quality papers in English on original theoretical/experimental research and development in the field of automation. The journal covers a wide range of topics including automatic control, artificial intelligence and intelligent control, systems theory and engineering, pattern recognition and intelligent systems, automation engineering and applications, information processing and information systems, network-based automation, robotics, sensing and measurement, and navigation, guidance, and control. Additionally, the journal is abstracted/indexed in several prominent databases including SCIE (Science Citation Index Expanded), EI (Engineering Index), Inspec, Scopus, SCImago, DBLP, CNKI (China National Knowledge Infrastructure), CSCD (Chinese Science Citation Database), and IEEE Xplore.