Optimal Trajectory Design of Formation Flying based on Attractive Sets

Motoki Yamane, Mai Bando, Shinji Hokamoto

Research output: Contribution to journalArticlepeer-review

Abstract

<p>This paper presents a new method of optimal trajectory design for formation flying. Under linearized assumptions and a quadratic performance index, we introduce an attractive set of optimal control based on the linear quadratic regulator theory. The attractive set is defined as a set of all initial states to reach a desired state for a given cost. In particular, we consider attractive sets for two problems: a fixed final-state, fixed final-time problem and an infinite-time problem, and the optimal initial state is found based on the geometry of the attractive set. The optimal trajectories for two problems are evaluated in terms of <i>L</i><sub>1</sub>-norm of control input and termination time.</p>
Original languageEnglish
Pages (from-to)96-103
Number of pages8
JournalTRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, AEROSPACE TECHNOLOGY JAPAN
Volume17
Issue number1
DOIs
Publication statusPublished - 2019

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