中文摘要：

针对轧机机电系统电机速度鲁棒跟踪非脆弱控制问题,建立了含非线性、不确定性、负载转矩轧机机电传动系统动力学模型。将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（linear maxtrix inequality,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。结果表明所设计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非脆弱控制效果,能够实现电机速度鲁棒跟踪非脆弱控制及对外界干扰的抑制。实例仿真验证了该方法的可行性和有效性。

英文摘要：

For the problem of motor speed robust tracking and non-fragile control on the electromechanical system of rolling mill, considering nonlinearity, uncertainty and load torque, the dynamic model of elec-tromechanical transmission system of rolling mill was built. As the nonlinearity was dealt with parameter uncertainty, the sufficient condition which lets the system attain quadratic stability and the outside dis-turbance attenuation was got based on H∞ theory, Lyapunov stability theory and the method of LMI （Line-ar Maxtrix Inequality（LMI））. In order to achieve the given speed signal tracking and non-fragile control, the feedforward and compensatory controller was designed. The results show that the non-fragile of the controller reflected as the parameter robustness of the controller, so the effect of the non-fragile control could be fulfilled via choosing the parameters of the controller directly. The feasibility and validity of the method was verified by the simulation examples.