Prescribed-time Control for Linear Systems in Canonical Form Via Nonlinear Feedback
Abstract
For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like function, a nonlinear and time-varying state feedback control scheme is constructed, which is further extended to address output feedback based prescribed-time regulation by invoking the prescribed-time observer, all are applicable over the entire operational time zone. As an alternative to full state regulation within user-assignable time interval, the proposed method analytically bridges the divide between linear and nonlinear feedback based prescribed-time control, and is able to achieve asymptotic stability, exponential stability and prescribed-time stability with a unified control structure.
Cite
@article{arxiv.2201.02939,
title = {Prescribed-time Control for Linear Systems in Canonical Form Via Nonlinear Feedback},
author = {Hefu Ye and Yongduan Song},
journal= {arXiv preprint arXiv:2201.02939},
year = {2022}
}