Title :
Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems
Author :
Bouyekhf, Rachid ; El Hami, Abdelkhalek ; El Moudni, Abdellah
Author_Institution :
UTBM Lab., Univ. of Technol., Belfort, France
fDate :
7/1/2001 12:00:00 AM
Abstract :
This note studies a class of discrete-time nonlinear systems which depend on a small parameter. Using the singular perturbation theory in a systematic way, we give a trajectory approximation result based on the decomposition of the model into reduced and boundary layer models. This decomposition is used to analyze optimal control via maximum principle of such systems. As a result, significant order reduction of optimal control problems is achieved
Keywords :
control system analysis; discrete time systems; maximum principle; nonlinear control systems; optimal control; singularly perturbed systems; boundary layer models; maximum principle; model decomposition; optimal control analysis; order reduction; reduced models; singularly perturbed nonlinear discrete-time systems; trajectory approximation result; Control system analysis; Design methodology; Feedback control; Large-scale systems; Linear systems; Nonlinear systems; Optimal control; Perturbation methods; Reduced order systems; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
