Robust H∞ vibration control for flexible linkage mechanism systems with piezoelectric sensors and actuators

X. Zhang; C. Shao; S. Li; D. Xu; A. G. Erdman

doi:10.1006/jsvi.2000.3413

Robust H_∞ vibration control for flexible linkage mechanism systems with piezoelectric sensors and actuators

X. Zhang, C. Shao, S. Li, D. Xu, A. G. Erdman

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

It is well known that the unmodelled dynamics may deteriorate the efficiency of a controller if the controller is not robust enough. This paper presents a robust H_∞ vibration control method for high-speed flexible linkage mechanism systems with piezoelectric actuators and sensors. The robust H_∞ controller is designed based on the complex mode and the H_∞ control theory. The numerical simulation shows that the vibration can be significantly suppressed with permitted actuator voltages by the controller. The robust H_∞ controller can avoid the spillover due to mode truncation to compare with some other method.

Original language	English (US)
Pages (from-to)	145-155
Number of pages	11
Journal	Journal of Sound and Vibration
Volume	243
Issue number	1
DOIs	https://doi.org/10.1006/jsvi.2000.3413
State	Published - May 24 2001

Bibliographical note

Funding Information:
This research was supported by the National Natural Science Foundation of China under Grants 59975056, 59605001, the Foundation for University Key Teacher by the Ministry of Education, the Natural Science Foundation of Guangdong Province under Grant 970381, 20000783, and the elitist Foundation of Guangdong Province under Grant 9912. The "rst author gratefully acknowledges these supports.

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Cite this

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abstract = "It is well known that the unmodelled dynamics may deteriorate the efficiency of a controller if the controller is not robust enough. This paper presents a robust H∞ vibration control method for high-speed flexible linkage mechanism systems with piezoelectric actuators and sensors. The robust H∞ controller is designed based on the complex mode and the H∞ control theory. The numerical simulation shows that the vibration can be significantly suppressed with permitted actuator voltages by the controller. The robust H∞ controller can avoid the spillover due to mode truncation to compare with some other method.",

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