Title :
Computation of conjugate times in smooth optimal control: the COTCOT algorithm
Author :
Bonnard, Bernard ; Caillau, Jean-Baptiste ; Trélat, Emmanuel
Author_Institution :
Institut de Mathématiques de Bourgogne (UMR CNRS 5584), F-21078 Dijon Bernard.Bonnard@ubourgogne.fr
Abstract :
Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltonians are evaluated by means of a new algorithm. Two kinds of standard control problems fit in this setting: the so-called regular ones, and the minimum time singular single-input affine systems. Conjugate point theory is recalled in these two cases, and two applications are presented: the minimum time control of the Kepler and Euler equations.
Keywords :
Code standards; Computer interfaces; Contracts; Control systems; Differential equations; Earth; Heuristic algorithms; Jacobian matrices; Optimal control; Packaging;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582276
