次优模型预测控制连续法的收缩分析

arXiv - MATH - Optimization and Control Pub Date : 2024-09-17 DOI:arxiv-2409.10970

Ryotaro Shima, Yuji Ito, Tatsuya Miyano

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摘要

这篇文章介绍了用于次优模型预测控制的延续方法的收缩分析。本文提出的收缩度量反映了延续方法固有的层次动力学，并由此引出了一对可行的矩阵不等式，描述了由延续方法控制的闭环系统的收缩特征。一个数值示例验证了我们的收缩分析，并证明了所提出的矩阵不等式的可操作性。

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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Contraction Analysis of Continuation Method for Suboptimal Model Predictive Control

This letter presents contraction analysis of continuation method for suboptimal model predictive control. A contraction metric is proposed that reflects hierarchical dynamics inherent in the continuation method and, thus, leads us to a pair of tractable matrix inequalities characterizing contraction of closed-loop system controlled by the continuation method. A numerical example verifies our contraction analysis and demonstrates the tractability of the presented matrix inequalities.

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arXiv - MATH - Optimization and Control

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