板带轧机机电传动系统参激非线性扭振鲁棒控制研究

摘要

While considering parametric excitation nonlinearity,uncertainty and load torque,the nonlinear torsional vibration dynamic model of a mechanical and electrical transmission system in a strip-rolling mill is built.The problem of the strip-rolling mill's motor-speed robust tracking and non-fragile control of the DC motor is studied.As the nonlinearity of the strip-rolling mill's mechanical and electrical drive system is translated into parameter uncertainty,the sufficient condition that lets the system attain quadratic stability and outside-disturbance attenuation is obtained using H∞theory,Lyapunov stability theory and the LMI method.In order to achieve the given speed-signal tracking and non-fragile control,a feedforward and compensatory controller is designed.The results of the real strip-rolling mill's simulation example verify the effectiveness of the proposed method,and the non-fragility of the controller is reflected as the controller's parameter robustness.This means that the effect of the torsional vibration non-fragile control of the strip-rolling mill's mechanical and electrical drive system can be fulfilled by choosing the parameters of the controller directly.%建立了含参激非线性、不确定性、负载转矩的轧机机电传动系统扭振动力学模型，研究了板带轧机电机速度鲁棒跟踪非脆弱控制问题。将板带轧机机电传动系统的非线性按参数不确定性处理，通过 H∞理论、Lyapunov 稳定性理论和线性矩阵不等式（LMI）方法得到了通过状态反馈使得系统满足二次稳定、抑制外界干扰的充分条件；为了实现给定速度信号跟踪非脆弱控制，设计了前馈补偿器。轧机实例仿真结果验证了方法的有效性，并发现控制器的非脆弱性表现为控制器参数的鲁棒性，即可以通过控制器参数的直接选取达到板带轧机机电传动系统扭振非脆弱控制效果。