Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties

Structural optimization of complex mechatronic components may involve heterogeneous competing performance indices, including the cost, fixation, benefit, and deviation ones. However, such optimization problems with heterogeneous objectives have not been investigated so far. In this paper, a novel in...

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Main Authors: Jin Cheng, Yangming Qian, Zhenyu Liu, Yixiong Feng, Zhendong Zhou, Jianrong Tan
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8625411/
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author Jin Cheng
Yangming Qian
Zhenyu Liu
Yixiong Feng
Zhendong Zhou
Jianrong Tan
author_facet Jin Cheng
Yangming Qian
Zhenyu Liu
Yixiong Feng
Zhendong Zhou
Jianrong Tan
author_sort Jin Cheng
collection DOAJ
description Structural optimization of complex mechatronic components may involve heterogeneous competing performance indices, including the cost, fixation, benefit, and deviation ones. However, such optimization problems with heterogeneous objectives have not been investigated so far. In this paper, a novel interval heterogeneous-objective robust optimization approach is proposed for complex mechatronic components. First, a unified interval heterogeneous-objective robust optimization model is constructed for mechatronic components with the uncertainties described as interval variables. Subsequently, a new interval robust equilibrium optimization algorithm is proposed to solve the interval heterogeneous-objective robust optimization model. Specifically, the unified formulas for assessing the robustness of interval heterogeneous-objective performance indices and the robust equilibrium among them are derived at first. Then, the preferential guidelines considering the robust equilibrium among all the objective and constraint performance indices are proposed for the direct ranking of various design vectors, and finally, the heterogeneous-objective robust equilibrium optimization of complex mechatronic components is realized by integrating the Kriging technique and the nested genetic algorithm. The feasibility and effectiveness of the proposed heterogeneous-objective robust optimization approach are verified by a numerical example and a case study.
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spelling doaj.art-befec493972d4962ad3c13cbc6da770e2022-12-21T18:13:17ZengIEEEIEEE Access2169-35362019-01-017205382055210.1109/ACCESS.2019.28947748625411Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval UncertaintiesJin Cheng0https://orcid.org/0000-0002-3254-9976Yangming Qian1Zhenyu Liu2https://orcid.org/0000-0003-2463-4553Yixiong Feng3https://orcid.org/0000-0001-7397-2482Zhendong Zhou4Jianrong Tan5State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, ChinaStructural optimization of complex mechatronic components may involve heterogeneous competing performance indices, including the cost, fixation, benefit, and deviation ones. However, such optimization problems with heterogeneous objectives have not been investigated so far. In this paper, a novel interval heterogeneous-objective robust optimization approach is proposed for complex mechatronic components. First, a unified interval heterogeneous-objective robust optimization model is constructed for mechatronic components with the uncertainties described as interval variables. Subsequently, a new interval robust equilibrium optimization algorithm is proposed to solve the interval heterogeneous-objective robust optimization model. Specifically, the unified formulas for assessing the robustness of interval heterogeneous-objective performance indices and the robust equilibrium among them are derived at first. Then, the preferential guidelines considering the robust equilibrium among all the objective and constraint performance indices are proposed for the direct ranking of various design vectors, and finally, the heterogeneous-objective robust equilibrium optimization of complex mechatronic components is realized by integrating the Kriging technique and the nested genetic algorithm. The feasibility and effectiveness of the proposed heterogeneous-objective robust optimization approach are verified by a numerical example and a case study.https://ieeexplore.ieee.org/document/8625411/Heterogeneous-objective robust optimizationcomplex mechatronic componentintervalrobust equilibriumcloseness coefficientgroup ranking
spellingShingle Jin Cheng
Yangming Qian
Zhenyu Liu
Yixiong Feng
Zhendong Zhou
Jianrong Tan
Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
IEEE Access
Heterogeneous-objective robust optimization
complex mechatronic component
interval
robust equilibrium
closeness coefficient
group ranking
title Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
title_full Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
title_fullStr Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
title_full_unstemmed Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
title_short Heterogeneous-Objective Robust Optimization of Complex Mechatronic Components Considering Interval Uncertainties
title_sort heterogeneous objective robust optimization of complex mechatronic components considering interval uncertainties
topic Heterogeneous-objective robust optimization
complex mechatronic component
interval
robust equilibrium
closeness coefficient
group ranking
url https://ieeexplore.ieee.org/document/8625411/
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AT zhenyuliu heterogeneousobjectiverobustoptimizationofcomplexmechatroniccomponentsconsideringintervaluncertainties
AT yixiongfeng heterogeneousobjectiverobustoptimizationofcomplexmechatroniccomponentsconsideringintervaluncertainties
AT zhendongzhou heterogeneousobjectiverobustoptimizationofcomplexmechatroniccomponentsconsideringintervaluncertainties
AT jianrongtan heterogeneousobjectiverobustoptimizationofcomplexmechatroniccomponentsconsideringintervaluncertainties