Parametric Variable Structure Control of a Spinning Beam System Via Axial Force

Author: Fung R.   Lee J.  

Publisher: Academic Press

ISSN: 0022-460X

Source: Journal of Sound and Vibration, Vol.227, Iss.3, 1999-10, pp. : 545-554

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Abstract

This paper presents a parametric variable structure control (PVSC) for the spinning simple-flexure beam via a control force applied along the axial direction to suppress the transverse vibrations. The partial differential equation (PDE) is regarded as the distributed parameter system (DPS) and is selected as the object to be controlled. The PVSC law designed by Lyapunov's direct method ensures that the system is asymptotically stable and satisfies the reaching condition simultaneously. The finite difference method is employed in the numerical simulations to show the effectiveness of the control laws.