進化策略實現(xiàn)圓度誤差的統(tǒng)一評定研究

溫秀蘭[1]
張鵬[2]
[1]南京工程學院自動化系,江蘇南京210013
[2]中北大學信息與通訊工程學院,山西太原030051

摘　要:圓度誤差的評定有最小區(qū)域法、最小外接圓法、最大內(nèi)接圓法和最小二乘法4種方法,文中提出了將進化策略用于上述多種圓度誤差的統(tǒng)一評定。該算法基于實數(shù)編碼,采用（μ＋λ）選擇策略和高斯變異算子,即父代種群參與競爭,算法簡單、魯棒性強,優(yōu)化效率高。同時建立了進化策略評定上述圓度誤差時目標函數(shù)的數(shù)學模型。最后,通過不同評價方法對圓度誤差進行評定,結(jié)果證明該方法不僅能快速收斂到全局最優(yōu)解,而且計算結(jié)果的穩(wěn)定性好,易于在工程計量中推廣使用。[著者文摘]

Study on Evolutionary Strategy Applied to the Unified Evaluation of Circularity ErrorWEN Xiu-lan , ZHANG Peng 1. Department of Automation, Nanjing Institute of Technology, Nanjing, Jiangsu 210013, China; 2. College of Information and Communication, North University of China, Taiyuan, Shanxi 030051, ChinaAbstract:There are four methods commonly used to evaluate the circularity error. They are minimum zone circle （MZC） method, minimum circumscribed circle （MCC） method, maximum inscribed circle （MIC） method and least square circle （LSC） method. Evolutionary strategy （ES） is proposed to evaluate above circularity errors. In the algorithm, real-coded, Gauss mutation operator and （μ＋λ） selection strategy are adopted, that is parent generation population take part in competition. And it has simple algorithm, strong robustness and high efficiency. In the meantime, the objective function calculation approaches of using ES to evaluate MZC, MCC and MIC errors are formulated. Finally, the experiment results evaluated by different methods indicate that the proposed method for circularity error evaluation not only converges to the global optimum rapidly, but also has good stability. And it is easy to generalize in engineering metrology.[著者文摘]

Key words:Metrology; Circularity error; Evaluation; Evolutionary strategy