Finite-and Fixed-Time Nonovershooting Stabilizers and Safety Filters by Homogeneous Feedback - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2023

Finite-and Fixed-Time Nonovershooting Stabilizers and Safety Filters by Homogeneous Feedback

Abstract

Non-overshooting stabilization is a form of safe control where the setpoint chosen by the user is at the boundary of the safe set. Exponential non-overshooting stabilization, including suitable extensions to systems with deterministic and stochastic disturbances, has been solved by the second author and his coauthors. In this paper we develop homogeneous feedback laws for fixed-time nonovershooting stabilization for nonlinear systems that are input-output linearizable with a full relative degree, i.e., for systems that are diffeomorphically equivalent to the chain of integrators. These homogeneous feedback laws can also assume the secondary role of 'fixed-time safety filters' (FxTSf filters) which keep the system within the closed safe set for all time but, in the case where the user's nominal control commands approach to the unsafe set, allow the system to reach the boundary of the safe set no later than a desired time that is independent of nominal control and independent of the value of the state at the time the nominal control begins to be overridden.
Fichier principal
Vignette du fichier
main.pdf (1.61 Mo) Télécharger le fichier
Archive.zip (529.07 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Origin Files produced by the author(s)

Dates and versions

hal-03544744 , version 1 (26-01-2022)

Identifiers

Cite

Andrey Polyakov, Miroslav Krstic. Finite-and Fixed-Time Nonovershooting Stabilizers and Safety Filters by Homogeneous Feedback. IEEE Transactions on Automatic Control, 2023, pp.1-16. ⟨10.1109/TAC.2023.3237482⟩. ⟨hal-03544744⟩
98 View
113 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More