Title :
Controlled switching in singularly perturbed systems
Author_Institution :
Dept. of Math., Weizmann Inst. of Sci., Rehovot, Israel
Abstract :
When slow and fast motions are coupled in a singularly perturbed control system, abrupt changes in the fast flow may result in switching between modes in the slow dynamics. Such changes may be desirable due to design specifications or considerations of optimality. The paper examines the geometric structure that yields such switchings and offers conditions that assure the stability of the design.
Keywords :
optimal control; singularly perturbed systems; stability; controlled switching; singularly perturbed control system; stability; Asymptotic stability; Control systems; Cost function; Differential equations; Mathematics; Motion control; Optimal control; State feedback;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1273041
