Title :

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

Author(s) :

Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Krstic, Miroslav [Auteur]
Department of Mechanical and Aerospace Engineering [Univ California San Diego] [MAE - UC San Diego]

Journal title :

International Journal of Robust and Nonlinear Control

Publisher :

Wiley

Publication date :

2024

ISSN :

1049-8923

English keyword(s) :

homogeneous system fixed-time stabilization robustness input delay
homogeneous system
fixed-time stabilization
robustness
input delay

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL