Optimal Switching Instants for the Control of Hybrid Systems

Olivier Mullier; Julien Alexandre dit Sandretto; Alexandre Chapoutot

doi:10.14232/actacyb.24.3.2020.10

Optimal Switching Instants for the Control of Hybrid Systems

Olivier Mullier ENSTA ParisTech https://orcid.org/0000-0003-1439-746X
Julien Alexandre dit Sandretto ENSTA ParisTech https://orcid.org/0000-0002-6185-2480
Alexandre Chapoutot, Dr. ENSTA ParisTech https://orcid.org/0000-0002-7230-0710

DOI: https://doi.org/10.14232/actacyb.24.3.2020.10

Keywords: hybrid systems, reachability, optimization, validated numerical integration, set membership computation, Goddard problem

Abstract

The problem of determining optimal switching instants for the control of hybrid systems under reachability constraints is considered. This optimization problem is cast into an interval global optimization problem with differential constraints, where validated simulation techniques and dynamic time meshing are used for its solution. The approach is applied on two examples, one being the well-known example of the Goddard's problem where a rocket has to reach a given altitude while consuming the smallest amount of fuel.

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Published

2020-03-18

How to Cite

Mullier, O., Alexandre dit Sandretto, J., & Chapoutot, A. (2020). Optimal Switching Instants for the Control of Hybrid Systems. Acta Cybernetica, 24(3), 449-465. https://doi.org/10.14232/actacyb.24.3.2020.10

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Issue

Vol 24 No 3 (2020): Special Issue of the 11th Summer Workshop on Interval Methods

Section

Interval Methods in Control and Robotics