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针对含有电枢反应非线性、参数不确定性和负载干扰的板带轧机机电传动系统扭振模型，基于 H∞理论，根据 LMI(Linear Maxtrix Inequality)方法和相关引理，得到了状态反馈控制器存在的充分条件，提出了系统稳态矩阵近似矩阵的概念，进而根据系统稳态矩阵近似矩阵的不同选定方法，结合给出的充分条件，求解得到了3个状态反馈控制器，并与设计的前馈补偿器作为系统的控制输入，实例仿真表明在3个控制输入作用下，可同等精度地实现电机速度的鲁棒跟踪控制，验证了算法的有效性。“,”For strip rolling mill which contains the nonlinearity of armature reaction, parameter uncertainty and the outside disturbance, the sufficient condition of the existence of the state feedback controller is got based on the H∞ theory, the LMI(Linear Matrix Inequality) method and the related lemmas. The concept of the approximation matrix of the system steady state matrix is put forward. Based on the different theories of selecting the approximation matrix of the system steady state matrix, and combined with the given sufficient condition, three state feedback controllers are got. They are dealt as the control input of the system with the designed feed-forward compensator. The instance simulation shows that the robust tracking control of the motor speed is achieved with the same precision under the effect of three control inputs. The effectiveness of the mechanism is verified.