期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 11, 期 5, 页码 3809-3814出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.02.010
关键词
Finsler geometry; Parallel navigation; Kinematics; Optimal control; Pontryagin maximum principle
A geometric approach to kinematics in control theory is illustrated. A non-linear control system is derived for the problem and the Pontryagin maximum principle is used to find the time-optimal trajectories of the Parallel navigation. It is proved that the time-optimal relative trajectories of the Parallel navigation are geodesics of a Finsler metric. It is notable that the approach has the advantages using feedback. (C) 2010 Elsevier Ltd. All rights reserved.
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