Robust optimal periodic control using guaranteed Euler's method

Jawher Jerray; Laurent Fribourg; Étienne André

doi:10.23919/ACC50511.2021.9482621

Conference papers

Robust optimal periodic control using guaranteed Euler's method

Jawher Jerray ^{1, *} Laurent Fribourg ² Étienne André ^{3, 4}

* Corresponding author

1 LIPN - Laboratoire d'Informatique de Paris-Nord

2 LMF - Laboratoire Méthodes Formelles

3 MOSEL - Proof-oriented development of computer-based systems

LORIA - FM - Department of Formal Methods

4 VERIDIS - Modeling and Verification of Distributed Algorithms and Systems

LORIA - FM - Department of Formal Methods , Inria Nancy - Grand Est, MPII - Max-Planck-Institut für Informatik

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.

Document type :

Conference papers

Domain :

Computer Science [cs] / Systems and Control [cs.SY]

Computer Science [cs] / Embedded Systems

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https://hal.archives-ouvertes.fr/hal-03174207
Contributor : Étienne André Connect in order to contact the contributor
Submitted on : Friday, March 19, 2021 - 8:21:47 AM
Last modification on : Friday, January 28, 2022 - 2:24:42 PM

Robust optimal periodic control using guaranteed Euler's method

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Robust optimal periodic control using guaranteed Euler's method

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