Collision avoidance as a robust reachability problem under model uncertainty

Massimiliano Vasile; Chiara Tardioli; Annalisa Riccardi; Hiroshi Yamakawa

Collision avoidance as a robust reachability problem under model uncertainty

Massimiliano Vasile, Chiara Tardioli, Annalisa Riccardi, Hiroshi Yamakawa

Mechanical And Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

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Abstract

The paper presents an approach to the design of an optimal collision avoidance maneuver under model uncertainty. The dynamical model is assumed to be only partially known and the missing components are modeled with a polynomial expansion whose coefficients are recovered from sparse observations. The resulting optimal control problem is then translated into a robust reachability problem in which a controlled object has to avoid the region of possible collisions, in a given time, with a given target.
The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.

Original language	English
Title of host publication	Spaceflight Mechanics 2016
Editors	Renato Zanetti, Ryan P. Russell, Martin T. Ozimek, Angela L. Bowes
Pages	4049-4064
Number of pages	16
Volume	158
Publication status	Published - 14 Feb 2016
Event	26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States Duration: 14 Feb 2016 → 18 Feb 2016

Conference

Conference	26th AAS/AIAA Space Flight Mechanics Meeting, 2016
Country/Territory	United States
City	Napa
Period	14/02/16 → 18/02/16

Keywords

collision avoidance
circular orbit
near earth object

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Vasile-etal-SFM-2016-Collision-avoidance-as-a-robust-reachability-problem-under-model-uncertaintyAccepted author manuscript, 1.37 MB

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title = "Collision avoidance as a robust reachability problem under model uncertainty",

abstract = "The paper presents an approach to the design of an optimal collision avoidance maneuver under model uncertainty. The dynamical model is assumed to be only partially known and the missing components are modeled with a polynomial expansion whose coefficients are recovered from sparse observations. The resulting optimal control problem is then translated into a robust reachability problem in which a controlled object has to avoid the region of possible collisions, in a given time, with a given target.The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.",

keywords = "collision avoidance, circular orbit, near earth object",

author = "Massimiliano Vasile and Chiara Tardioli and Annalisa Riccardi and Hiroshi Yamakawa",

note = "This paper was originally presented at the 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 held 14-18/02/16, Napa, U.S.A., and was originally published in the American Astronautical Society (AAS) publication Spaceflight Mechanics 2016. ed. / Renato Zanetti; Ryan P. Russell; Martin T. Ozimek; Angela L. Bowes. Vol. 158 Univelt Inc, 2016. p. 4049-4064 AAS 16-365. (Copyright {\textcopyright} 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com).; 26th AAS/AIAA Space Flight Mechanics Meeting, 2016 ; Conference date: 14-02-2016 Through 18-02-2016",

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Collision avoidance as a robust reachability problem under model uncertainty. / Vasile, Massimiliano; Tardioli, Chiara; Riccardi, Annalisa et al.
Spaceflight Mechanics 2016. ed. / Renato Zanetti; Ryan P. Russell; Martin T. Ozimek; Angela L. Bowes. Vol. 158 2016. p. 4049-4064 AAS 16-365.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

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AB - The paper presents an approach to the design of an optimal collision avoidance maneuver under model uncertainty. The dynamical model is assumed to be only partially known and the missing components are modeled with a polynomial expansion whose coefficients are recovered from sparse observations. The resulting optimal control problem is then translated into a robust reachability problem in which a controlled object has to avoid the region of possible collisions, in a given time, with a given target.The paper will present a solution for a circular orbit in the case in which the reachable set is given by the level set of an artificial potential function.

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KW - near earth object

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Collision avoidance as a robust reachability problem under model uncertainty

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