In real-world applications, a nominal model is usually used to approximate the practical system for design and control. This approximation may make the traditional robust design less effective because the model uncertainty still affects the system performance. In this paper, a novel robust design approach is proposed to improve the system robustness to the variations in design variables as well as the model uncertainty. The proposed robust design consists of two separate optimizations. One is to minimize the variation effects of the design variables to the performance based on the nominal model just as what the traditional deterministic robust design methods do. The other is to minimize the effect of the model uncertainty using the matrix perturbation theory. Through solving a multi-objective optimization problem, the proposed design can improve the system robustness to the uncertainty. Simulation examples have demonstrated the effectiveness of the proposed design method.
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November 2009
Research Papers
Perturbation Theory Based Robust Design Under Model Uncertainty
XinJiang Lu,
XinJiang Lu
Department of Manufacturing Engineering and Engineering Management,
City University of Hong Kong
, Hong Kong
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Han-Xiong Li
Han-Xiong Li
Department of Manufacturing Engineering and Engineering Management,
City University of Hong Kong
, Hong Kong
Search for other works by this author on:
XinJiang Lu
Department of Manufacturing Engineering and Engineering Management,
City University of Hong Kong
, Hong Kong
Han-Xiong Li
Department of Manufacturing Engineering and Engineering Management,
City University of Hong Kong
, Hong KongJ. Mech. Des. Nov 2009, 131(11): 111006 (9 pages)
Published Online: October 7, 2009
Article history
Received:
February 19, 2009
Revised:
July 28, 2009
Published:
October 7, 2009
Citation
Lu, X., and Li, H. (October 7, 2009). "Perturbation Theory Based Robust Design Under Model Uncertainty." ASME. J. Mech. Des. November 2009; 131(11): 111006. https://doi.org/10.1115/1.3213529
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