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Technical Briefs

Robust Control of the Elastodynamic Vibrations of a Flexible Rotor System With Discontinuous Friction

[+] Author and Article Information
Mansour Karkoub

Mechanical Engineering Program, Texas A&M University at Qatar Education City Doha, Qatarmansour.karkoub@qatar.tamu.edu

J. Vib. Acoust 133(3), 034501 (Mar 24, 2011) (9 pages) doi:10.1115/1.4003401 History: Received September 12, 2009; Revised November 17, 2010; Published March 24, 2011; Online March 24, 2011

The work presented here deals with the control of a flexible rotor system using the μ-synthesis control technique. This technique allows for the inclusion of modeling errors in the control design process in terms of uncertainty weights. The dynamic model of the rotor system, which includes discontinuous friction, is highly nonlinear and has to be linearized around an operating point in order to use μ-synthesis. The difference between the linear and nonlinear models is characterized in terms of uncertainty weights and included in the control design process. The designed controller is robust to uncertainty in the dynamic model, spillover, actuator uncertainty, and noise. The theoretical findings of the μ-synthesis control design are validated through simulations and the results are presented and discussed here.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of a flexible rotor

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Figure 2

Schematic diagram of the rotor dynamics

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Figure 3

Block diagram of the closed-loop system with measurement time delay

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Figure 4

Open-loop response of the angular speed of the top disk for a unit step voltage input of 10 V

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Figure 5

Open-loop response of the x-displacement of the geometric center of the lower disk for a unit step voltage input of 10 V

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Figure 6

Open-loop response of the y-displacement of the geometric center of the lower disk for a unit step voltage input of 10 V

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Figure 7

Open-loop response of the twist angle α for a unit step voltage input of 10 V

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Figure 8

Closed-loop response of the angular speed of the top disk using a reference Ωref=10 rad/s

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Figure 9

Closed-loop response of the x-displacement of the geometric center of the lower disk using a reference Ωref=10 rad/s

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Figure 10

Closed-loop response of the y-displacement of the geometric center of the lower disk using a reference Ωref=10 rad/s

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Figure 11

Closed-loop response of the twist angle α using a reference Ωref=10 rad/s

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Figure 12

Frequency response of the μ-synthesis controller

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