Title :
On the near-optimality of composite optimal control for nonstandard singularly perturbed systems
Author :
Xu, Hua ; Mukaidani, Hiroaki ; Mizukami, Koichi
Author_Institution :
Fac. of Integrated Arts & Sci., Hiroshima Univ., Japan
Abstract :
In this paper, a method based on a generalized algebraic Riccati equation arising in descriptor systems is presented to solve the composite optimal control problem of nonstandard singularly perturbed systems. It is shown that the composite optimal control can be obtained very simply by only revising the solution of the slow regulator problem. It is proven that the composite optimal control can achieve a performance which is O(ε2) close to the optimal performance. Although this result is well-known for the standard singularly perturbed systems, it is new in the nonstandard case
Keywords :
Riccati equations; large-scale systems; linear systems; matrix algebra; optimal control; singularly perturbed systems; composite optimal control; descriptor systems; generalized algebraic Riccati equation; near-optimality; nonstandard singularly perturbed systems; slow regulator problem; Art; Electrostatic precipitators; Feedback control; Linear feedback control systems; Matrix decomposition; Optimal control; Performance analysis; Regulators; Riccati equations; Symmetric matrices;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.576964
