A hybrid sufficient performance measure approach to improve robustness and efficiency of reliability-based design optimization

The stable convergence and efficiency of reliability-based design optimization (RBDO) using performance measure approach (PMA) are the major issue to develop the reliability methods based on modified chaos control (MCC), hybrid chaos control (HCC) and finite-step length adjustment (FSL). However, th...

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Bibliographic Details
Published in:Engineering with computers 2021-07, Vol.37 (3), p.1695-1708
Main Authors: Keshtegar, Behrooz, Meng, Debiao, Ben Seghier, Mohamed El Amine, Xiao, Mi, Trung, Nguyen-Thoi, Bui, Dieu Tien
Format: Article
Language:English
Subjects:
Adaptive control
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Classical Mechanics
Computer Science
Computer-Aided Engineering (CAD
Control
Convergence
Design optimization
Efficiency
Functions (mathematics)
Math. Applications in Chemistry
Mathematical and Computational Engineering
Original Article
Performance enhancement
Robust control
Systems Theory
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Summary:The stable convergence and efficiency of reliability-based design optimization (RBDO) using performance measure approach (PMA) are the major issue to develop the reliability methods based on modified chaos control (MCC), hybrid chaos control (HCC) and finite-step length adjustment (FSL). However, these methods may be inefficient for RBDO problems with convex and concave probabilistic constraints. In this paper, an adaptive modified chaos control (AMC) is proposed to provide the robust and efficient results in RBDO. The proposed AMC is adjusted using dynamical chaos control factor, which is extracted using sufficient descent condition for PMA. Using sufficient criterion, the proposed AMC is adaptively combined with advanced mean value (AMV) to improve the performance of PMA, named as hybrid adaptive modified chaos control (HAMC). Considering the robustness and efficiency, the proposed HAMC is compared with several existing reliability methods by three nonlinear structural/mathematical performance functions and two RBDO problems. The results indicate that the proposed HAMC with sufficient descent condition provides superior convergences in terms of both robustness and efficiency, compared to existing PMA methods using AMV, MCC, HCC and FSL.
ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-019-00907-w