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Modeling and Control of a Rotating Flexible Spacecraft: A Port-Hamiltonian Approach

Aoues, Saïd and Cardoso-Ribeiro, Flavio Luiz and Matignon, Denis and Alazard, Daniel Modeling and Control of a Rotating Flexible Spacecraft: A Port-Hamiltonian Approach. (2019) IEEE Transactions on Control Systems Technology, 27 (1). 355-362. ISSN 1063-6536

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Official URL: http://dx.doi.org/10.1109/TCST.2017.2771244

Abstract

In this brief, we develop a mathematical model of a flexible spacecraft system composed of a hub and two symmetrical beams using the port-Hamiltonian framework. This class of system has favorable properties, such as passivity for controller synthesis and stability analysis, where the global Hamiltonian plays the role of a Lyapunov function candidate. The spacecraft model is viewed as a power-conserving interconnection between an infinite (beam) and finite (hub) dimensional system. We show that the interconnection result has a port-Hamiltonian structure and is passive. The introduction of a nonlinear feedback term, which takes into account the beam’s flexibility, is developed using the control by an interconnection approach. The closed-loop stability is proven; then, through explicitly solving the partial differential equations of the system, asymptotic stability is obtained. Finally, the experimental results are carried out to assess the validity of the proposed design methodology.

Item Type:Article
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). This paper is available at : http://ieeexplore.ieee.org/document/8118292 “© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-01738092
Audience (journal):International peer-reviewed journal
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited By: Daniel Alazard
Deposited On:19 Mar 2018 15:52

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