进化策略实现圆度误差的统一评定研究

温秀兰[1]
张鹏[2]
[1]南京工程学院自动化系,江苏南京210013
[2]中北大学信息与通讯工程学院,山西太原030051

摘　要:圆度误差的评定有最小区域法、最小外接圆法、最大内接圆法和最小二乘法4种方法,文中提出了将进化策略用于上述多种圆度误差的统一评定。该算法基于实数编码,采用（μ＋λ）选择策略和高斯变异算子,即父代种群参与竞争,算法简单、鲁棒性强,优化效率高。同时建立了进化策略评定上述圆度误差时目标函数的数学模型。最后,通过不同评价方法对圆度误差进行评定,结果证明该方法不仅能快速收敛到全局最优解,而且计算结果的稳定性好,易于在工程计量中推广使用。[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