Robust Stabilization of Flexible Mechanical Systems Under Noise Uncertainties and Time-Varying Parameter Perturbations-Reference-Cited by-同舟云学术

Robust Stabilization of Flexible Mechanical Systems Under Noise Uncertainties and Time-Varying Parameter Perturbations

Published:1998-03 Issue:2 Volume:4 Page:167-185
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Chou Jyh-Horng¹,Chen Shinn-Horng²,Chao Chien-Hsiang³

Affiliation:

1. Department of Mechanical Engineering, National Yunlin University of Science and Technology, Touliu, Yunlin 640, Taiwan

2. Department of Mechanical Engineering, National Kaohsiung Institute of Technology, Kaohsiung 807, Taiwan

3. Institute of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan

Abstract

This article presents a new time domain approach to treat the active stabilization (active vibration control) problem of flexible mechanical systems under (1) mode truncation, (2) nonlinear/linear time- varying parameter perturbations, (3) noise (input noise and measurement noise), and (4) noise uncertainties. In the proposed approach, the residual model is viewed as an additive perturbation to the controlled dynamics. A new robust stability condition is derived for the flexible mechanical system that is controlled by a linear-quadratic-Gaussian (LQG)-based controller and subject to mode truncation, noise uncertainties, and nonlinear/linear time-varying parameter perturbations. The proposed new condition gives an insight into the relationship between the stability margins of the controlled and residual mode subsystems, spillover effect, and additive time-varying parameter perturbations. Finally, two examples are given to confirm the presented approach.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/107754639800400205

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5. Burrows, C.R., Keogh, P.S., and Tasaltin, R., 1993, "Closed-loop vibration control of flexible rotors—an experimental study," Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science 207(1), 1-17.

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