Backstepping Control of Uncertain Strict-Feedback System Based on Time-Scale Separation

In this paper, a state-feedback strategies based on time-scale separation technique for a class of strict-feedback systems in the presence of unstructured uncertainties is proposed which recovers the state trajectories of a nominal control design (without uncertainties) in the presence of unmatched uncertain nonlinearities. The performance of the feedback control scheme is evaluated by simulating statefeedback control for an uncertain strict-feedback system.