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arXiv · 2309.16834

Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint

Mi Zhou·Erik I Verriest·Chaouki Abdallah
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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.

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Mi Zhou, Erik I Verriest, Chaouki Abdallah. 2023-09-28. Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint. https://arxiv.org/abs/2309.16834

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