Title :
Slow and fast manifolds of singularly perturbed systems
Author :
Taylor, David G.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
The nonlinear analogues of three canonical forms used for linear singularly perturbed systems are defined. The two most significant of these forms are studied in detail and are found to reveal both slow and fast invariant manifolds of the two-time-scale system. The fast manifold is used in the analysis of a second-order process with integral feedback and a first-order process with slow adaptation
Keywords :
control system analysis; nonlinear control systems; canonical forms; control system analysis; fast invariant manifolds; first-order process; integral feedback; nonlinear control systems; second-order process; singularly perturbed systems; slow adaptation; slow manifold; two-time-scale system; Ear; Feedback; Inspection; Linear systems; Manifolds; Matrices; Nonlinear equations; Reduced order systems; Transforms;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203493
