多输入多输出随机振动试验交叉比例控制算法  

Cross Proportional Control Algorithm for MIMO Random Vibration Test

作　　者：崔旭利[1] 陈怀海[1] 贺旭东[1] 姜双燕[1] 

机构地区：[1]南京航空航天大学飞行器结构力学与控制教育部重点实验室,南京210016

出　　处：《南京航空航天大学学报》2010年第4期429-434,共6页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(10972104)资助项目

摘　　要：针对多输入多输出随机振动控制试验中少量控制谱线始终超标的现象进行了深入研究。推导得到了参考谱的Cho lesky分解矩阵和控制谱矩阵之间的关系表达式。指出控制点之间的耦合因素是影响控制效果的一个重要原因。据此提出了一种交叉比例修正算法,该算法能有效改善自谱的控制效果,使自谱的所有谱线都能保持在允许误差范围内,消除了超标谱线。最后通过与比例均方根修正算法的对比试验,验证了该算法的有效性。The factors causing a few of spectral lines exceeding acceptable error bounds all the time are analyzed in multi-input and multi-output（MIMO） random vibration test.A formula to express the relationship of the control spectrum matrix and the matrix of Cholesky decomposition of reference spectrum matrix is derived.It shows that the control result is affected severely by the coupling between the control points.A cross proportional correction algorithm is put forward to improve the control results.With the new algorithm,all the spectrum lines can be controlled within the acceptable error bounds.The new cross proportional correction algorithm is compared with the proportional root square mean correction algorithm by tests.Results show that the new algorithm is better.

关 键 词：多输入多输出 振动环境试验 随机振动 自功率谱 

分 类 号：O324[理学—一般力学与力学基础]