Stabilization of an Axially Moving Elastic Tape Under an External Disturbance

Aouragh, My Driss; Nahli, Mohamed

doi:10.1007/s10440-022-00473-2

Cited by 3 publications

(1 citation statement)

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“…Consequently, considering control solutions for systems with uncertainties is of great importance in the industrial control systems. Various control methods have been developed for controlling such systems, such as sliding mode control (SMC) for nonlinear systems with disturbances [2,19], Lyapunov approach for beam systems with boundary disturbance [22,23], internal model control for output regulation of systems with external disturbance [33]. Unfortunately, most of these control approaches focus on the worst case scenario that makes the controller rather conservative.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of a uniform rotating disk-beam-mass system with boundary input disturbance

2022

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In this paper, we study the stabilization problem of a disk beam structure with disturbance. Specifically, the structure consists of a beam clamped at one end to the center of a rotating rigid disk, while the other end is attached to a tip mass subject to a non-uniform bounded disturbance. We start the investigation by designing the controller via the Active disturbance rejection control (ADRC) approach. The high gain extended state observer (ESO) is first designed to estimate the disturbance, then the feedback observer-based controller is designed to employ the estimation to cancel the disturbance effect. Furthermore, the well-posedeness of the controlled system is proved using the semigroup theory. Using the Lyapunov method, the exponential stability is proved. Finally, the performance of the control method is illustrated by simulation results.

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