Title :
Computation of Optimal Control Solutions with the Tau Method and an Error Estimator
Author :
Gavina, Alexandra ; Matos, Joao ; Vasconcelos, P.B.
Author_Institution :
Dept. de Mat., Inst. Super. de Eng. do Porto, Porto, Portugal
fDate :
June 30 2014-July 3 2014
Abstract :
The Operational Tau method is presented to solve optimal control problems considering first finite time horizon and then infinite time. For the latter, a domain transformation technique is studied as well as a special treatment for the orthogonal polynomial basis to obtain the numerical approximation of the solution. Numerical results obtained via a MATLAB implementation of the proposed approach are shown, illustrating its effectiveness.
Keywords :
error statistics; optimal control; polynomial approximation; MATLAB implementation; domain transformation technique; error estimator; finite time horizon; numerical approximation; operational Tau method; optimal control solution; orthogonal polynomial basis; Boundary conditions; Chebyshev approximation; Differential equations; Optimal control; Polynomials; Optimal Control; Spectral methods; Tau method;
Conference_Titel :
Computational Science and Its Applications (ICCSA), 2014 14th International Conference on
Conference_Location :
Guimaraes
DOI :
10.1109/ICCSA.2014.29
