Title :
Optimal control in singularly perturbed systems: the integral manifold approach
Author :
Tseng, H. Chris ; Kokotovic, P.V.
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Abstract :
With the integral manifold approach, the authors prove the unique existence of a lower order optimal problem whose optimal control and optimal trajectory are the same as that of a singularly perturbed linear-quadratic optimal problem for some initial conditions. A second-order example is used to illustrate the idea
Keywords :
control system analysis; matrix algebra; optimal control; integral manifold; optimal control; optimal trajectory; singularly perturbed systems; Cost function; Differential equations; Eigenvalues and eigenfunctions; Erbium; Integral equations; Linear systems; Optimal control;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194507
