Robust stabilization of balanced and splay formations with heterogeneous controller gains

Jain, Anoop and Ghose, Debasish (2019) Robust stabilization of balanced and splay formations with heterogeneous controller gains. In: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 356 (8). pp. 4554-4576.

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Abstract

This paper analyses collective motion of multi-vehicle systems in balanced or splay formation when the vehicles are equipped with heterogeneous controller gains. Balancing refers to a situation in which the positional centroid of the vehicles is stationary. The splay formation is a special case of balancing in which the vehicles are spatially distributed with equal angular separation between them. The paper proposes strategies to achieve such balanced and splay formations about a desired centroid location while allowing the vehicles to move either along straight line paths or on individual circular orbits. Feedback control laws that can tolerate heterogeneity in the controller gains, which may be caused by imperfect implementation, are derived and analyzed. It is shown that drastic failures leading to controller gains becoming zero for almost half of the vehicles in the group can be tolerated and balanced formation can still be achieved. On the other hand, splay formation can still be achieved if the controller gain is zero for at most one vehicle. Simulation examples are given to illustrate the theoretical findings. (C) 2019 Published by Elsevier Ltd on behalf of The Franklin Institute.

Item Type:	Journal Article
Publication:	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	The copyright for this article belongs to Pergamon-Elsevier Science Ltd
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	18 Jun 2019 12:06
Last Modified:	18 Jun 2019 12:06
URI:	http://eprints.iisc.ac.in/id/eprint/62780

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