强非线性振动磨时间把控最优模型研究  

Studies on Time Optimal Model of a Strong Nonlinear System of Vibration Mills

作　　者：季程 杨小兰[1] 胡孙鹏 崔润 林枫[1] JI Cheng;YANG Xiao-lan;HU Sun-peng;CUI Run;LIN Feng(School of Mechanical Engineering,Nanjing Institute of Technology,Nanjing 211167,China)

机构地区：[1]南京工程学院机械工程学院

出　　处：《南京工程学院学报（自然科学版）》2019年第3期57-61,共5页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：针对强非线性振动磨近共振区域时间难以把控的技术瓶颈,提出一种时间把控最优模型控制策略.建立强非线性时间方程来确定最优控制函数;利用雅克比线性化的方法将振动磨机的强非线性系统转化为近似的线性系统,通过易于掌握规律的线性系统来进行分析求解并求出误差公式,利用利普希茨条件来确定取值的范围;依据系统本身带有的约束条件求出最优解公式;通过LabVIEW程序进行试验来验证时间把控最优模型的可行性,试验结果表明这种改进策略对于强非线性系统运行效率的提升有很大的帮助.Aimed at technical bottleneck of time control in a near resonance region of strongly nonlinear vibration mills, an optimal model for controlling strategy of time control is proposed. Optimal time control function is determined by establishing strong nonlinear equations, and strong nonlinear system is transformed into an approximate linear system by using jacobian linearization method of vibration mills. A linear system, the law of which is easy to grasp, is analyzed and the error formula is obtained. The range of values is determined using lipschitz condition. And an optimal solution formula is found based on the constraint conditions of the system itself. LabVIEW program is used to carry out experiments to testify the feasibility of this model. The results of the experiments indicate that this improved strategy helps significantly to boost the efficiency of a strong nonlinear system.

关 键 词：振动磨机 强非线性系统 时间最优 利普希茨条件 LABVIEW 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]