Title :
Feedback equivalence for a class of nonlinear singularly perturbed systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
The feedback equivalence for a class of nonlinear singularly perturbed systems is studied. This is accomplished by reducing the full problem to a lower-order exact problem using the slow manifold theory. This facilitates development of an approximate and simpler linearizing control strategy achievable to an arbitrary degree of accuracy. It is shown that, in contrast with systems with unobservable parasitics where a state-dependent transformation and a static feedback controller are required, for systems with observable parasitics a state- and control-dependent transformation and a dynamic feedback controller are obtained
Keywords :
control system synthesis; feedback; linearisation techniques; nonlinear control systems; feedback equivalence; linearizing control strategy; nonlinear singularly perturbed systems; nonlinear system; observable parasitics; order reduction; slow manifold theory; Adaptive control; Control systems; Linear systems; Manipulator dynamics; Nonlinear dynamical systems; Nonlinear systems; State feedback; State-space methods; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70605
