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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e-mail: lu.xinjiang@yahoo.com.cn
e-mail: mehxli@cityu.edu.hk
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February 2011
Research Papers
Robust Design for Dynamic System Under Model Uncertainty
XinJiang Lu,
XinJiang Lu
School of Mechanical and Electrical Engineering,
e-mail: lu.xinjiang@yahoo.com.cn
Central South University
, Hunan 410083, China
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Han-Xiong Li
Han-Xiong Li
Department of Manufacturing Engineering and Engineering Management,
e-mail: mehxli@cityu.edu.hk
City University of Hong Kong
, Hong Kong, Hong Kong
Search for other works by this author on:
XinJiang Lu
School of Mechanical and Electrical Engineering,
Central South University
, Hunan 410083, Chinae-mail: lu.xinjiang@yahoo.com.cn
Han-Xiong Li
Department of Manufacturing Engineering and Engineering Management,
City University of Hong Kong
, Hong Kong, Hong Konge-mail: mehxli@cityu.edu.hk
J. Mech. Des. Feb 2011, 133(2): 021006 (7 pages)
Published Online: January 31, 2011
Article history
Received:
August 15, 2009
Revised:
September 24, 2010
Online:
January 31, 2011
Published:
January 31, 2011
Citation
Lu, X., and Li, H. (January 31, 2011). "Robust Design for Dynamic System Under Model Uncertainty." ASME. J. Mech. Des. February 2011; 133(2): 021006. https://doi.org/10.1115/1.4003342
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