International Science and Technology Journal

This paper is addressed for investigation in feedback stabilisation for imperfectly known, singularly perturbed (full-order) dynamic control systems. Some problems that may arise are the coexistence of slow and fast dynamics in the plant to be controlled. This particular problem can be addressed utilizing singular perturbation theory. The system uncertainties are classified as non-linear perturbations to a known non-linear idealized system. A mathematical model is represented by two time-scale subsystems, which include a scalar singular perturbation parameter that introduce a reduced-order system when the singular perturbation parameter is set to zero. The system analysis is based on Lyapunov's stability technique. This paper investigates some aspects of stabilisation techniques for nonlinear singularly perturbed systems. Some practical examples are provided to illustrate the stabilization schemes. Simulations have been performed and the results have been presented. The results clearly indicate that the stability property relating to existence of compact sets, containing the origin which are global uniform attractors for both reduced-order and full-order systems Also, the results show that the effect of the positive scalar parameter increases the singularly perturbed parameter. The results of the practical examples show that whenε=0.01 tends asymptotically to zero, and when ε=0.5 becomes unstable