基于动态设定AGC模型参数对控制系统稳定性的影响分析

Analysis on influence of dynamic setting of AGC model parameters on stability of control system

通过传感器测量,可以得到轧制扰动的数据,运用递归方法得到动态设定AGC的数学模型。通过对变刚度厚度控制原理和动态设定AGC的数学模型的研究,运用必要的仿真方法,研究了不同的变刚度系数对消除入口厚度偏差的影响。分析了理想模型参数情况下各算法系统的收敛性和稳态误差,推导出压力AGC算法收敛的模型参数取值区间和模型参数取值对压力AGC控制算法的收敛速度和稳态误差的影响。当系统稳定时,获得了模型参数和控制系统参数对钢板厚度偏差的影响。当变刚度系数稳定在1.5时,控制系统对于钢板厚度偏差的影响很小,轧制后钢板的厚度偏差都在可控范围内。

The rolling disturbance data was measured by the sensor,and the mathematical model of the dynamic setting of AGC was obtained by recursive method. Then,related control theories of variable stiffness and thickness and mathematics models of the dynamic setting of AGC were studied deeply,and the influences of different variable stiffness coefficients on eliminating entrance thickness deviation were researched by necessary simulation method. Furthermore,the convergence and steady-state error of each algorithm system under the condition of ideal model parameters were analyzed,and the influence of value range of the model parameters of pressure AGC algorithm convergence and its value on its convergence rate and steady-state error were deduced. When the system was stable,the influences of model parameters and control system parameters on steel strap thickness deviation were obtained. When the variable stiffness coefficient is stable at 1.5,the influence of control system on the thickness deviation of steel sheet is small. Thus,the thickness deviation of steel sheet after rolling is within controllable range.