Fixed-time Stabilization with a Prescribed Constant Settling Time by Static Feedback for Delay-Free and Input Delay Systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles International Journal of Robust and Nonlinear Control Year : 2024

Fixed-time Stabilization with a Prescribed Constant Settling Time by Static Feedback for Delay-Free and Input Delay Systems

Abstract

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial conditions. The constant convergence time is achieved due to a dependence of the feedback gain of the initial state of the system. The robustness of the closed-loop system with respect to measurement noise and exogenous perturbations is studied using the concept of Input-to-State Stability (ISS). Both delay-free and input delay systems are considered. Theoretical results are illustrated by numerical simulations.
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Dates and versions

hal-04390695 , version 1 (12-01-2024)

Identifiers

  • HAL Id : hal-04390695 , version 1

Cite

Andrey Polyakov, Miroslav Krstic. Fixed-time Stabilization with a Prescribed Constant Settling Time by Static Feedback for Delay-Free and Input Delay Systems. International Journal of Robust and Nonlinear Control, inPress. ⟨hal-04390695⟩
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