Model predictive control for singular differential-algebraic equations
Optimization and Control
2022-02-08 v1
Abstract
We study model predictive control for singular differential-algebraic equations with higher index. This is a novelty when compared to the literature where only regular differential-algebraic equations with additional assumptions on the index and/or controllability are considered. By regularization techniques, we are able to derive an equivalent optimal control problem for an ordinary differential equation to which well-known model predictive control techniques can be applied. This allows the construction of terminal constraints and costs such that the origin is asymptotically stable w.r.t. the resulting closed-loop system.
Cite
@article{arxiv.2202.03256,
title = {Model predictive control for singular differential-algebraic equations},
author = {Achim Ilchmann and Jonas Witschel and Karl Worthmann},
journal= {arXiv preprint arXiv:2202.03256},
year = {2022}
}