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TECHNICAL PAPERS

Semi-Active Static Output Feedback Variable Structure Control for Two-Stage Vibration Isolation System

[+] Author and Article Information
Cheng Zhao, Lesheng Chen

Department of Information Measurement Technology and Instruments, Shanghai Jiaotong University, Shanghai, 200240, P. R. China

Dayue Chen1

Department of Information Measurement Technology and Instruments, Shanghai Jiaotong University, Shanghai, 200240, P. R. Chinadychen@sjtu.edu.cn

1

Corresponding author.

J. Vib. Acoust 128(5), 627-634 (Mar 28, 2006) (8 pages) doi:10.1115/1.2203310 History: Received November 16, 2005; Revised March 28, 2006

A semi-active static output feedback variable structure control (VSC) strategy is presented to control a two-stage vibration isolation system in this paper. A continuous output feedback VSC controller which utilizes the measurements from a limited number of sensors installed at strategic locations is designed and a bypass electrorheological (ER) damper is applied to achieve the best control effect more rapidly and accurately. The determination of sliding surface in terms of the Routh-Hurwitz stability criterion is combined with continuous controller design such that the control law is completely decoupled from external excitations, which are hard to measure or estimate. The self-adaptability of the vibration isolation system with respect to external disturbances, the robustness of the control method with respect to parameter variations and the effectiveness of vibration isolation are demonstrated by numerical simulation results. It showed that the designed semi-active static output feedback VSC strategy realized by the ER damper can achieve better performance than those of optimally passive damping and maximum damping variety even if system parameter uncertainties exist.

Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 4

Block diagram of semi-active VSC for a two-stage vibration isolation system with ER damper

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Figure 5

Displacement response of sprung mass to one chirp signal for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 6

Acceleration response of sprung mass to one chirp signal for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 7

The input voltage to ER damper under one chirp signal

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Figure 8

Displacement responses of sprung mass to harmonic excitation at frequency f=5Hz for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 3

Model of a tow-stage ER vibration isolation system

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Figure 9

Acceleration responses of sprung mass to harmonic excitation at frequency f=5Hz for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 11

Acceleration responses of sprung mass to a single bump excitation

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Figure 12

Time history of simulated rough road profile

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Figure 13

Time histories of displacements of sprung mass to profiled road excitation for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 14

Time histories of accelerations of sprung mass to profiled road excitation for (a) passive damping, (b) maximal damping, and (c) semi-active VSC cases

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Figure 10

Displacement responses of sprung mass to a single bump excitation

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Figure 15

Displacement responses of sprung mass to a single bump excitation with parameter uncertainties: (a)Δm1=0.1m1, Δk1=0.1k1, and Δk2=0.1k2 and (b)Δm1=−0.1m1, Δk1=−0.1k1, and Δk2=−0.1k2

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Figure 16

Acceleration responses of sprung mass to a single bump excitation with parameter uncertainties: (a)Δm1=0.1m1, Δk1=0.1k1, and Δk2=0.1k2 and (b)Δm1=−0.1m1, Δk1=−0.1k1, and Δk2=−0.1k2

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Figure 2

Damping force versus piston velocity at various voltages, U=0.0kV (dotted line), U=1.4kV (dash-dotted line), U=2.5kV (dashed line), U=3.5kV (solid line), and U=5.0kV (thick line)

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Figure 1

The proposed ER damper: (a) schematic configuration and (b) photograph

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