A novel non-probabilistic approach using interval analysis for robust design optimization

作者：Sun Wei; Dong Rongmei^*; Xu Huanwei

来源：Journal of Mechanical Science and Technology, 2009, 23(12): 3199-3208.

DOI：10.1007/s12206-009-0921-3

• Non-probabilistic
• Interval analysis
• Uncertainty analysis
• Robust design optimization

A technique for formulation of the objective and constraint functions with uncertainty plays a crucial role in robust design optimization. This paper presents the first application of interval methods for reformulating the robust optimization problem. Based on interval mathematics, the original real-valued objective and constraint functions are replaced with the interval-valued functions, which directly represent the upper and lower bounds of the new functions under uncertainty. The single objective function is converted into two objective functions for minimizing the mean value and the variation, and the constraint functions are reformulated with the acceptable robustness level, resulting in a bi-level mathematical model. Compared with other methods, this method is efficient and does not require presumed probability distribution of uncertain factors or gradient or continuous information of constraints. Two numerical examples are used to illustrate the validity and feasibility of the presented method.

• 出版日期2009-12
• 单位大连理工大学