Model uncertainty often results from incomplete system knowledge or simplification made at the design stage. In this paper, a hybrid model/data-based probabilistic design approach is proposed to design a nonlinear system to be robust under the circumstances of parameter variation and model uncertainty. First, the system is formulated under a linear structure which will serve as a nominal model of the system. All model uncertainties and nonlinearities will be placed under a sensitivity matrix with its bound estimated from process data. On this basis, a model-based robust design method is developed to minimize the influence of parameter variation in relation to performance covariance. Since this proposed design approach possesses both merits from the model-based robust design as well as from the data-based uncertainty compensation, it can effectively achieve robustness for partially unknown nonlinear systems. Finally, two practical examples demonstrate and confirm the effectiveness of the proposed method.
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February 2012
Research Papers
Model-Based Probabilistic Robust Design With Data-Based Uncertainty Compensation for Partially Unknown System
XinJiang Lu,
XinJiang Lu
State Key Laboratory of High Performance Complex Manufacturing,Central South University
, Hunan 410083, China
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Han-Xiong Li,
Han-Xiong Li
Department of Systems Engineering and Engineering Management, City University of Hong Kong,Hong Kong;
State Key Laboratory of High Performance Complex Manufacturing,Central South University
, Hunan 410083, China
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C. L. Philip Chen
C. L. Philip Chen
Faculty of Science and Technology,
University of Macau
, Av. Padre Tomás Pereira, Taipa, Macau, China
Search for other works by this author on:
XinJiang Lu
State Key Laboratory of High Performance Complex Manufacturing,Central South University
, Hunan 410083, China
Han-Xiong Li
Department of Systems Engineering and Engineering Management, City University of Hong Kong,Hong Kong;
State Key Laboratory of High Performance Complex Manufacturing,Central South University
, Hunan 410083, China
C. L. Philip Chen
Faculty of Science and Technology,
University of Macau
, Av. Padre Tomás Pereira, Taipa, Macau, China
J. Mech. Des. Feb 2012, 134(2): 021004 (8 pages)
Published Online: February 3, 2012
Article history
Received:
June 26, 2010
Revised:
October 27, 2011
Published:
February 3, 2012
Citation
Lu, X., Li, H., and Chen, C. L. P. (February 3, 2012). "Model-Based Probabilistic Robust Design With Data-Based Uncertainty Compensation for Partially Unknown System." ASME. J. Mech. Des. February 2012; 134(2): 021004. https://doi.org/10.1115/1.4005589
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