Title :
Remarks on the time-optimal control of a class of hamiltonian systems
Author :
Sontag, Eduardo D.
Author_Institution :
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
Abstract :
The author deals with time-optimal control and some other questions for multivariable systems for which a certain Hamiltonian structure is present. The main results characterize regions of the state space where singular trajectories cannot exist, and provide high-order conditions for optimality. A class of Hamiltonian systems is first defined. A time-optimal control problem is then discussed, and Pontryagin´s maximum principle is delineated
Keywords :
maximum principle; multivariable systems; optimal control; state-space methods; Pontryagin´s maximum principle; hamiltonian systems; multivariable systems; state space; time-optimal control; Control system synthesis; Control systems; MIMO; Manipulators; Mathematical model; Mathematics; Mechanical factors; Optimal control; Orbital robotics; State-space methods;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70106