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Research Papers

Robust Design for Dynamic System Under Model Uncertainty

[+] Author and Article Information
XinJiang Lu

School of Mechanical and Electrical Engineering, Central South University, Hunan 410083, Chinalu.xinjiang@yahoo.com.cn

Han-Xiong Li1

Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, Hong Kongmehxli@cityu.edu.hk

1

Corresponding author.

J. Mech. Des 133(2), 021006 (Jan 31, 2011) (7 pages) doi:10.1115/1.4003342 History: Received August 15, 2009; Revised September 24, 2010; Published January 31, 2011; Online January 31, 2011

In real-world applications, a nominal model is often used to approximate the design of an industrial system. This approximation could make the traditional design method less effective due to the existence of model uncertainty. In this paper, a novel stability-based approach is proposed to design the system ensuring robust stability under model uncertainty. First, the design variables and their variation bounds are configured to make the system stable. Then, a robust design is developed to incorporate system eigenvalues that are less sensitive to model uncertainty. Finally, the tolerance of the design space will be maximized under given performance constraints. A simulation example is conducted to demonstrate the effectiveness of the proposed robust design method.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Constraint of the eigenvalue by both stability and robustness

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Figure 2

Variation bounds

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Figure 3

Physical model of a rotor system

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Figure 4

Nominal stability variable space Sn

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Figure 5

Stability parameter space Ss

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Figure 6

Robust stability variable space Sr

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Figure 7

Comparison under the model uncertainty

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Figure 8

(a) Mean of the error e(mi,mb,j) and (b) variance of the error e(mi,mb,j)

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