Robust Optimization of Adjustable Control Factors Using Particle Swarm Optimization

Most conventional robust design methods assume design solutions are fixed values. Using these methods, designers set each control factor to a fixed value to maximize the robustness of objective characteristics. However, fluctuations in the objective characteristic often exceed the allowable range in a design problem. Consequently, obtaining sufficient robustness is difficult using conventional methods. This research defines adjustable control factors whose values can be adjusted within a given range to increase robustness and proposes a method to calculate robustness, including factors to adjust the objective characteristic and to derive optimum ranges of the factors. The robustness index, which indicates the feasibility that the objective characteristic values are within the tolerance by the adjustment, is calculated by the Monte Carlo method, while the range of adjustable control factors is optimized using the Vector evaluated particle swarm optimization. Finally, an engineering example is presented to demonstrate the applicability of the proposed method.

[1]  R. W. Mayne,et al.  Probabilistic Optimal Design Using Successive Surrogate Probability Density Functions , 1993 .

[2]  James Kennedy,et al.  The Behavior of Particles , 1998, Evolutionary Programming.

[3]  Yoshiyuki Matsuoka,et al.  Robust design method for diverse conditions , 2009 .

[4]  Genichi Taguchi,et al.  Taguchi on Robust Technology Development , 1992 .

[5]  Carl D. Sorensen,et al.  A general approach for robust optimal design , 1993 .

[6]  Yoshiyuki Matsuoka,et al.  Study of Comfortable Sitting Posture , 1988 .

[7]  Erik K. Antonsson,et al.  Tuning parameters in engineering design , 1993 .

[8]  Masao Arakawa,et al.  Study on optimum design using fuzzy numbers as design variables , 1995 .

[9]  Alan R. Parkinson,et al.  Robust Mechanical Design Using Engineering Models , 1995 .

[10]  Alan R. Parkinson,et al.  Robust Optimal Design for Worst-Case Tolerances , 1994 .

[11]  Roel Wieringa,et al.  What Is Design Science , 2014 .

[12]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[13]  J.G. Vlachogiannis,et al.  Determining generator contributions to transmission system using parallel vector evaluated particle swarm optimization , 2005, IEEE Transactions on Power Systems.

[14]  Jianmin Zhu,et al.  Performance Distribution Analysis and Robust Design , 2001 .

[15]  Jyh-Cheng Yu,et al.  Design for Robustness Based on Manufacturing Variation Patterns , 1998 .

[16]  Yoshiyuki Matsuoka ROBUST DESIGN METHOD FOR DIVERSITY OF BA , 2000 .

[17]  Kwang Y. Lee,et al.  Multi-objective based on parallel vector evaluated particle swarm optimization for optimal steady-state performance of power systems , 2009, Expert Syst. Appl..

[18]  A. Belegundu,et al.  Robustness of Design Through Minimum Sensitivity , 1992 .

[19]  Singiresu S Rao,et al.  A GENERAL LOSS FUNCTION BASED OPTIMIZATION PROCEDURE FOR ROBUST DESIGN , 1996 .

[20]  K. Ishii,et al.  DESIGN OPTIMIZATION FOR ROBUSTNESS USING QUADRATURE FACTORIAL MODELS , 1998 .

[21]  K. Ishii,et al.  Design optimization for robustness using performance simulation programs , 1992 .