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arXiv · 2103.10125

Robust optimal periodic control using guaranteed Euler's method

Jawher Jerray·Laurent Fribourg·Étienne André
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Abstract

In this paper, we consider the application of optimal periodic control sequences to switched dynamical systems. The control sequence is obtained using a finite-horizon optimal method based on dynamic programming. We then consider Euler approximate solutions for the system extended with bounded perturbations. The main result gives a simple condition on the perturbed system for guaranteeing the existence of a stable limit cycle of the unperturbed system. An illustrative numerical example is provided which demonstrates the applicability of the method.

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BibTeXRIS

Jawher Jerray, Laurent Fribourg, Étienne André. 2021-03-18. Robust optimal periodic control using guaranteed Euler's method. https://doi.org/10.23919/acc50511.2021.9482621

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