多点正弦振动试验控制系统最优控制策略研究  

Optimum Control Strategy Study for Multi-exciter Sine Test Control System

作　　者：陈家焱[1,2] 陈章位[1] 贺惠农[3] 周建川 

机构地区：[1]浙江大学流体动力与机电系统国家重点实验室,杭州310027 [2]中国计量学院质量与安全工程学院,杭州310018 [3]浙江大学生物医学工程与仪器科学学院,杭州310027 [4]杭州亿恒科技有限公司,杭州310003

出　　处：《机械工程学报》2012年第8期159-166,共8页Journal of Mechanical Engineering

基　　金：浙江大学流体动力与机电系统国家重点实验室开放基金资助项目(GZKF-201109)

摘　　要：针对传统多点正弦控制方法中,频响特性不更新和迭代步长不变导致控制系统潜在不稳定的缺点,提出采用最优控制策略进行系统控制。对多点正弦振动控制系统的稳定性进行研究,分析影响控制系统稳定性的因素,得出频响矩阵的估计误差是影响控制系统稳定性的根本原因。通过对建立的最优化模型进行理论分析,推导出系统解耦补偿矩阵实时更新迭代公式和控制系统迭代的最速收敛步长公式,归纳出多点正弦最优控制流程。仿真结果显示迭代步长选取是影响控制系统稳定性的重要因素,多点正弦最优控制策略收敛速度更快;试验结果表明采用最优控制策略的控制系统,其输出响应谱与参考谱的误差完全满足工程中常用的±3 dB控制要求,同时表现出良好的相位跟踪性能,具有实际工程应用价值。The optimum control strategy of the system is presented in order to tackle the drawbacks appeared in the traditional multi-exciter sine control method where the un-updating of frequency response property and constant step of convergent iteration leading to potential instability of the system exists.The fundamental reasons for the error estimation of frequency response matrix have been found out through implementing research to the system stability of the multi-exciter sine vibration control and analysis to the factors influencing system stability.The real-time updating formula for system coupling compensation matrix and the steepest convergence step formula for the control system are inferred by analyzing the optimum model established,meanwhile,optimum control flow chart of the multi-exciter sine control is introduced.The results of simulation show that iterative step dominates the factor in affecting the control system stability,and the multi-exciter sine optimum control strategy bears the steepest convergence.The experiment indicates that the error between the output response spectrum and reference spectrums for the control system can be completely satisfied in terms of the requirement with ±3 dB in Engineering,and good phase tracking capability is also possessed,consequently,both of them will bring the practical value in engineering

关 键 词：多点激励 正弦试验 实时更新 最优控制 

分 类 号：O324[理学—一般力学与力学基础]