Title: Boundary control of a flexible beam with output constraint under saturation input

Authors: Chuyang Yu; Haojie Lin; Xuyang Lou; Jiajia Jia

Addresses: School of IoT Engineering, Jiangnan University, Wuxi 214122, China ' School of IoT Engineering, Jiangnan University, Wuxi 214122, China ' School of IoT Engineering, Jiangnan University, Wuxi 214122, China ' School of IoT Engineering, Jiangnan University, Wuxi 214122, China

Abstract: This paper focuses on the problem of saturated boundary control for a flexible beam system with unknown disturbances and output constraint. It is aimed to suppress the vibration of the flexible beam system with unknown disturbances and input saturation, and make the pitch of the boundary output remain in the constraint. In order to satisfy the system constraint, an auxiliary term is established and a barrier Lyapunov function is applied. Two boundary controllers with a barrier term and an auxiliary term are constructed to prove the uniform ultimate boundedness of the state of the flexible beam. Numerical simulations are given to verify the effectiveness of the proposed control methods.

Keywords: flexible beam system; input saturation; output constraint; boundary control; unknown disturbance.

DOI: 10.1504/IJMIC.2023.129481

International Journal of Modelling, Identification and Control, 2023 Vol.42 No.2, pp.116 - 130

Received: 11 Jan 2022
Accepted: 21 Mar 2022
Published online: 10 Mar 2023 *

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