基于响应面法和遗传算法的多自由度微陀螺性能优化  

Optimization of Performance of Multi-DOF Microgyroscope Based on Response Surface Method and Genetic Algorithm

作　　者：郝淑英[1,2] 孟思 张琪昌 张昆鹏[1,2] 冯晶晶[1,2] HAO Shuying;MENG Si;ZHANG Qichang;ZHANG Kunpeng;FENG Jingjing(Tianjin Key Laboratory of Advanced Electromechanical System Design and Intelligent Control,Tianjin University of Technology,Tianjin 300384,China;National Experimental Teaching Demonstration Center of Mechanical and Electrical Engineering,Tianjin 300984,China;Tianjin Key Laboratory of Nonlinear Dynamics and Control,Tianjin University,Tianjin 300072,China)

机构地区：[1]天津理工大学天津市先进机电系统设计与控制重点实验室,天津300384 [2]机电工程国家级实验教学示范中心,天津300384 [3]天津大学天津市非线性动力学与控制重点实验室,天津300072

出　　处：《传感技术学报》2019年第4期555-561,共7页Chinese Journal of Sensors and Actuators

基　　金：国家自然科学基金项目(11872044);国家自然科学基金项目(11602169);国家重点研发计划项目(2018YFB0106200);天津市教委科研计划项目(2017KJ262);天津市自然科学基金项目(16JCQNJC04700)

摘　　要：为了兼顾微陀螺的灵敏度和带宽,实现其性能优化,将特征提取、响应面法与遗传算法相结合,提出了一种基于灵敏度和带宽最优化的优化设计方法。该方法基于特征提取确定设计变量及约束条件。通过BBD(Box-Behnken Design)方法采样,结合最小二乘法构建微陀螺灵敏度和带宽的响应面近似模型,运用多目标遗传算法对响应面模型进行优化。通过计算Pareto前沿最优解获得一系列优化方案,可同时将灵敏度和带宽分别提升19%和12%,也可在灵敏度不变的前提将带宽拓展78%,可根据实际需要选择不同的优化方案。对原设计和优化方案进行仿真对比,验证了优化设计结果的正确性。采用该方法对多自由度微陀螺的性能进行分析和优化,能在大大提高优化效率的同时有效提高灵敏度与带宽,为微陀螺的优化设计提供一种新思路。In order to take into account both sensitivity and bandwidth of micromachined gyroscope and optimize its performance,the multi-objective optimization design is proposed based on dynamic feature extraction,response surface method and genetic algorithm. Design variables and constraints are determined based on feature extraction. The second order response surface approximate models of the sensitivity and bandwidth are built by the Box-Behnken Design(BBD)and the least square method,and multi-objective genetic algorithm is applied to optimize the models. A series of optimization schemes are obtained by calculating the Pareto front,one of the schemes can simultaneously improve sensitivity and bandwidth by 19% and 12%,another one of them can extend bandwidth by 78% on the premise of constant sensitivity. Different schemes can be selected according to actual needs to obtain microgyroscope with different performance. The simulation comparison between the original design and the optimization scheme verifies the correctness of the optimized design results. The proposed method can increase the sensitivity and bandwidth while improving the optimization efficiency,and a new idea is provided for the optimization design of microgyroscope.

关 键 词：微陀螺 性能优化 响应面法 遗传算法 多目标优化 

分 类 号：TH712[机械工程—测试计量技术及仪器] TP212[机械工程—仪器科学与技术]