Title :
Optimal control of external force and damping in one mechanical system
Author :
Nosov, V.R. ; Meda-Campaña, J.A. ; Gómez-Mancilla, J.C.
Author_Institution :
Dept. of Mech. Eng., SEPI-ESIME-IPN, Mexico City
Abstract :
Pontryagin´s maximum principle is used for constructing optimal trajectories in bilinear system with controllable damping. In this paper the bilinear control problem is partitioned into simpler linear problems. Then, the overall control law is obtained in a very practical way, from the adequate combination of the partial solutions. It is also shown that systems with controllable damping can be taken to the origin in less time than systems without damping or constant damping, in general.
Keywords :
bilinear systems; damping; maximum principle; Pontryagin´s maximum principle; bilinear control problem; bilinear system; controllable damping; external force; mechanical system; optimal control; Automatic control; Control systems; Control theory; Damping; Force control; Linear approximation; Mechanical engineering; Mechanical systems; Nonlinear systems; Optimal control; Bilinear systems; Pontryagin’s maximum principle; optimal control;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control, 2008. CCE 2008. 5th International Conference on
Conference_Location :
Mexico City
Print_ISBN :
978-1-4244-2498-6
Electronic_ISBN :
978-1-4244-2499-3
DOI :
10.1109/ICEEE.2008.4723417