Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint
Systems and Control
2023-10-02 v1 Systems and Control
Abstract
In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time period is used as the performance criterion. The analytical solution with both small and large terminal time is found for a special case when the undriven oscillator system is initially at rest. For other initial states of the Harmonic oscillator, the optimal solution is found to have three modes: wait-move, move-wait, and move-wait-move given a longer terminal time.
Keywords
Cite
@article{arxiv.2309.16834,
title = {Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint},
author = {Mi Zhou and Erik I Verriest and Chaouki Abdallah},
journal= {arXiv preprint arXiv:2309.16834},
year = {2023}
}