Time Optimal Control Switching Structure Regularization Semi-Smooth Newton Method CUDA Technology
Issue Date:
2010
Publisher:
Bulgarian Academy of Sciences - National Committee for Mathematics
Citation:
Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 253p-266p
Abstract:
The control problem of minimal time transition between two stationary points are
formulated in a framework of an indirect numerical method. The problem is regularized and
the monotone behavior of the regularisation procedure is investigated. Semi-smooth Newton
method applied on the regularized problems converge superlinearly and usually produce a very
accurate solution. Differently from other methods, this one does not need a-priory knowledge of
the control switching structure. A code was developed in the C++ language and the NVIDIA
CUDA technology made it even faster.