Autonomous Output Feedback Stabilization With Prescribed Settling-Time Bound

Abstract

Novel output feedback stabilization is developed for a chain of integrators to impose on the closed-loop system an <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a priori</i> given settling-time bound regardless of the initial state. The intended design is deduced from fixed-time stabilization using a proportional time–space scaling. The resulting nonsmooth feedback relies on time-independent gains thereby admitting its straightforward implementation as opposed to the original design (Song et al., 2017) with time-varying gains, escaping to infinity as time goes to the prescribed-time instant. The proposed observer-based output feedback design with constant gains and with prescribed convergence rate constitutes the main contribution of this article.