Dynamic surface control for stabilization of the oscillating eccentric rotor

Qaiser, N.; Hussain, A.; Iqbal, N.; Qaiser, N.

Abstract

The present paper presents a new solution for the stabilization and disturbance attenuation problems of the oscillating eccentric rotor (OER), an extensively studied non-linear under-actuated mechanical system. Designing control law for such systems is a challenging task owing to the under-actuation property, which poses problems in exact feedback linearization. Presented non-linear controller design exploits the recently introduced dynamic surface control technique in a novel manner. The task of the controller is not only to de-spin the rotor but also to stop the translational oscillations. The design procedure is simpler and more intuitive than currently available integrator backstepping or energy-shaping-based designs. Stability is analysed by decomposing the system into a cascade of several subsystems. Advantages over existing controller designs are analysed theoretically and verified using numerical simulations. The design is found to attenuate oscillation amplitude effectively in the presence of an external sinusoidal translational disturbance besides aggressive stabilization.

Citation

Qaiser, N., Hussain, A., Iqbal, N., & Qaiser, N. (2007). Dynamic surface control for stabilization of the oscillating eccentric rotor. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 221(3), 311-319. https://doi.org/10.1243/09596518JSCE222

• Journal Article Type: Article
• Publication Date: May 1, 2007
• Deposit Date: Oct 17, 2019
• Journal: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
• Print ISSN: 0959-6518
• Electronic ISSN: 2041-3041
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 221
• Issue: 3
• Pages: 311-319
• DOI: https://doi.org/10.1243/09596518JSCE222
• Keywords: oscillating eccentric rotor, under-actuated mechanical systems, dynamic surface control, back-stepping
• Public URL: http://researchrepository.napier.ac.uk/Output/1793567