Optimal control of drift-free invariant control systems on the group of motions of the minkowski plane | IEEE Conference Publication | IEEE Xplore

Optimal control of drift-free invariant control systems on the group of motions of the minkowski plane


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 More

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.
Date of Conference: 24-27 June 2014
Date Added to IEEE Xplore: 24 July 2014
Print ISBN:978-3-9524269-1-3
Conference Location: Strasbourg, France

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