English

Suboptimal nonlinear model predictive control with input move-blocking

Systems and Control 2023-01-18 v4 Systems and Control Optimization and Control

Abstract

This paper deals with the integration of input move-blocking into the framework of suboptimal model predictive control. The blocked input parameterization is explicitly considered as a source of suboptimality. A straightforward integration approach is to hold back a manually generated stabilizing fallback solution in some buffer for the case that the optimizer does not find a better input move-blocked solution. An extended approach superimposes the manually generated stabilizing warm-start by the move-blocked control sequence and enables a stepwise improvement of the control performance. In addition, this contribution provides a detailed review of the literature on input move-blocked model predictive control and combines important results with the findings of suboptimal model predictive control. A numerical example supports the theoretical results and shows the effectiveness of the proposed approach.

Keywords

Cite

@article{arxiv.2109.12355,
  title  = {Suboptimal nonlinear model predictive control with input move-blocking},
  author = {Artemi Makarow and Christoph Rösmann and Torsten Bertram},
  journal= {arXiv preprint arXiv:2109.12355},
  year   = {2023}
}

Comments

Added missing condition to Eq. (11); Added reference to difference inclusion (12) in Prop. 7 and Prop. 10; Removed typos;

R2 v1 2026-06-24T06:19:15.351Z