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Robust Frequency-Shaping Optimal Active Vibration Control of Uncertain Flexible Mechanical Systems with Persistent Excitation

Published online by Cambridge University Press:  05 May 2011

Liang-An Zheng ,
Shinn-Horng Chen  and
Jyh-Horng Chou
Liang-An Zheng*
Affiliation:
Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 807, R.O.C.
Shinn-Horng Chen*
Affiliation:
Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 807, R.O.C.
Jyh-Horng Chou*
Affiliation:
Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science & Technology, Kaohsiung, Taiwan 824, R.O.C.
*
*Associate Professor
*Associate Professor
**Professor
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Abstract

Based on the frequency-shaping optimal control method, this paper proposes a time-domain robust disturbance rejection design approach for a class of uncertain flexible mechanical systems subject to persistent disturbances and time-varying parameter perturbations. In the approach, a frequency-shaping output filter is first employed to combine with the mechanical system and a Kalman filter to form an augmented system. Some eigenvalues of the frequency-shaping output filter coincide with the unstable poles of the disturbance dynamics to perform disturbance rejection. Then, for the designed closed-loop system to have asymptotic stability, a new robust stability condition is proposed. It is shown that, using the proposed stability condition, the resulting controller can suppress the persistent disturbance and keep the flexible mechanical system from the possibility of instability caused by spillover and time-varying parameter perturbations. Finally, two examples are given to demonstrate the use of the design approach.

Keywords

Frequency-shaping optimal controlActive vibration controlFlexible mechanical systemsRobust disturbance rejectionPersistent excitationTime-varying parameter perturbations
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 4 , December 2002 , pp. 163 - 171
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

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References

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