Continuation Method for Nonsmooth Model Predictive Control Using Proximal Technique

Autor: Shima, Ryotaro, Moriyasu, Ryuta, Kato, Teruki
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: This paper presents a novel framework for the continuation method of model predictive control based on optimal control problem with a nonsmooth regularizer. Via the proximal operator, the first-order optimality inclusion relation is reformulated into an equation system, to which the continuation method is applicable. In addition, we present constraint qualifications that ensure the well-posedness of the proposed equation system. A numerical example is also presented that demonstrates the effectiveness of our approach.
Comment: Submitted to ACC25
Databáze: arXiv