Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838130 | Nonlinear Analysis: Real World Applications | 2010 | 6 Pages |
Abstract
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.
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Authors
M. Rafie-Rad,