Title :
Near-optimal control for the singularly perturbed bilinear systems using successive approximation method
Author :
Kim, Beom-Soo ; Lim, Myo-Taeg
Author_Institution :
Sch. of Electr. Eng., Korea Univ., Seoul, South Korea
Abstract :
A near-optimal control with a quadratic performance index for singularly perturbed bilinear systems is considered. The proposed algorithm decomposes the full order system into the slow and fast subsystems, and optimal control laws to the corresponding subsystems are obtained by using the successive approximation of a sequence of Lyapunov equations
Keywords :
Lyapunov matrix equations; approximation theory; bilinear systems; performance index; sequences; singularly perturbed systems; suboptimal control; Lyapunov equation sequence; fast subsystems; full-order system decomposition; near-optimal control; optimal control laws; quadratic performance index; singularly perturbed bilinear systems; slow subsystems; successive approximation method; Approximation algorithms; Approximation methods; Control systems; Differential equations; Linear systems; Nonlinear systems; Optimal control; Performance analysis; Riccati equations; State-space methods;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945823
