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

Autor:	Polyakov, Andrey, Krstic, Miroslav
Rok vydání:	2023
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Dynamical Systems Mathematics - Optimization and Control 93D40 93C43 37N35
Druh dokumentu:	Working Paper
Popis:	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 noises and exogenous perturbations is studied using the concept of Input-to-State Stability (ISS). Both delay-free and input delay systems are studied. Theoretical results are illustrated by numerical simulations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.01621 Zobrazit plný text záznamu View this record from Arxiv