Work

Stabilization of a rotating body–beam by output feedback torque control

Year: 2025

Type: article

Abstract: This paper deals with the output feedback stabilization problem for a rotating body–beam system, originally studied by Baillieul and Levi. Inspired by the work of Li and Xu, we design an observer to estimate the system state by measuring the boundary moment force of beam at root and the angular velocity of disk. A novel Lyapunov functional is developed to prove exponential convergence of the observer. Utilizing the observer in the control law designed by Coron and d’Andréa-Novel, we achieve local asymptotic stability of the closed-loop system. Our results present an example of applying the so-called separation principle to stabilize nonlinear infinite-dimensional systems, whose applicability is well-known to finite dimensional systems.

Source: Automatica

DOI: 10.1016/j.automatica.2025.112446

Authors: Xi Xu, Xi Xu, Cheng-Zhong Xu, Xueru Fan, Chun-Hai Kou

Institutions: Lyon 1 Université, Donghua University, Université de Lyon

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,760

Funder: China Scholarship Council