Work

Fixed-Time Stabilization of Uncertain Continuous-Time Systems With Sampled Control

Year: 2025

Type: article

Abstract: We prove fixed time stabilization estimates using sampled controls, for continuous-time time-varying linear systems that can contain uncertain coefficient matrices. In the special case where the coefficient matrices are known, this yields a fixed-time input-to-state stability property, in which the norm of the current state is bounded from above by a supremum of the uncertainty that is calculated over a finite length time interval of a constant length. We also prove analogs for output feedback stabilization with unknown measurement delays, and for nonlinear systems with state delays and outputs. We illustrate our work using a pendulum dynamics with an unknown control gain and poorly known friction.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2025.3601020

Authors: Frederic Mazenc, Michael Malisoff

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, DISCO: Systèmes dynamiques interconnectés dans des environnements complexes, Louisiana State University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Office of Naval Research

Awards: Collaborative Research: Designs and Theory for Interval Contractors and Reference Governors with Aerospace Applications, G912723583