Abstract:
We consider a class of invariant optimal control problems on the three-dimensional semi-Euclidean group. Specifically, we consider only drift-free left-invariant control ...Show MoreMetadata
Abstract:
We consider a class of invariant optimal control problems on the three-dimensional semi-Euclidean group. Specifically, we consider only drift-free left-invariant control affine systems and positive definite quadratic costs. The associated cost-extended systems are classified. Explicit expressions for the extremal controls of the corresponding optimal control problems are obtained.
Published in: 2014 European Control Conference (ECC)
Date of Conference: 24-27 June 2014
Date Added to IEEE Xplore: 24 July 2014
Print ISBN:978-3-9524269-1-3