Application of the Interval Genetic Algorithm Technique for the Interval Optimization of a Disk Type Piezoelectric Motor

應用區間基因遺傳演算法於碟型壓電陶瓷馬達之區間最佳化設計

蕭庭郎(Ting-Nung Shiau) ； 康仲豪(Chung-Hao Kang) ； 劉德騏(De-Shin Liu)

《中國機械工程學刊》 29卷6期 (2008/12) Pp. 435-443

https://doi.org/10.29979/JCSME.200812.0001

摘要

在工程上，大部分最佳化演算法均在探討最佳化設計之方法，並求得精確的最佳設計參數；然而，因為加工及製造的種種誤差，往往造成該精確設計參數不易加工之問題。為了解決此一問題，本文提出了一個新的區間最佳化方法，其命名為區間遺傳演算法；該方法能求出目標函數符合允許誤差之區間設計參數。本文中將此一方法運用到碟型壓電馬達之區間最佳化設計上，結果顯示，在演算過程中，該方法除可以不利用複雜的區間分析，來求得區間參數外，不論是在單目標或多目標的區間最佳化設計上，均能得到理想之答案。

並列摘要

Most of the optimization algorithms in engineering deal with methods, which derive the exact optimal parameters for an optimal design. Actually, exact design parameters are not easy to be manufactured because of manufacturing errors and an expensive manufacturing cost. To overcome this difficulty, a new kind of interval optimization procedure is proposed in this paper. This procedure is denominated as the Interval Genetic Algorithm (IGA), which can determine the interval parameters with an allowable objective error. It can not only neglect the interval analysis in the optimization process but also can maximize the design scope. In this paper, the IGA is applied to the interval optimization of a disk type piezoelectric motor. The results show that the scopes of the single and multi objective interval optimizations can be determined separately. Furthermore, the interval optimization with constrained interval design parameters can also be determined by using the technique of the IGA.

並列關鍵字

interval optimization ； interval genetic algorithm ； piezoelectric motor ； multi-objectives ； single-objective ； constrained interval