Robust Output-Feedback Prescribed-Time Stabilization of a Class of Nonlinear Strict-Feedback-Like Systems

Abstract

While prior results on prescribed-time stabilization (i.e., convergence within a fixed prescribed time interval irrespective of the initial state) consider a chain of integrators with uncertainties matched with the control input (i.e., normal form), we consider here a general class of nonlinear strict-feedback-like systems with nonlinear state-dependent uncertain functions allowed throughout the system dynamics. Furthermore, we address the output-feedback problem and show that a dynamic observer and controller can be designed based on our dual dynamic high gain scaling based design methodology along with a novel temporal transformation and form of the scaling dynamics with temporal forcing terms to achieve both state estimation and regulation in the prescribed time interval.