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单边直线感应电机(single-sided linear induction motor， SLIM)应用于中低速磁悬浮牵引系统时，因常导电磁悬浮气隙的波动而导致电机的实际机械气隙波动，从而引起电机动态等效电路相关控制参数的时变不稳定。对此该文分别将初级电流的d/q轴分量和考虑动态端部效应影响的等效互感、电阻参数作为状态观测量，进行了以内部状态互联的双观测器为基础的数学建模，同时根据观测器内部参数波动受限于局部有界的条件，从非周期和周期性时间波动两个方面进行了状态偏差的李雅普诺夫稳定性论证。另一方面，考虑到SLIM在初级电流场穿越横向铁心端部时出现的谐波扩散现象，对互联观测器内部的状态滤波器进行了改进设计，使得SLIM能直接穿越畸变电流扩散区运行而不影响电机控制系统的稳定性。实验部分对所提算法的有效性进行了验证。“,”With consideration of that some dynamical parameters in T-type equivalent circuit model (T-ECM) of a single-sided linear induction motor (SLIM) are nonlinear time- varying due to the unstable machine air-gap between primary and secondary sides specially when SLIM are applied in medium-low speed maglev traction system, two effective kind of states interconnected observers were employed to observe the d- and q-axis currents, secondary flux, mutual induction and secondary resistance variables. Since the dynamical parameters were bounded because of limite vibration of air-gap, the desired identification state deviations were asymptotically converged to zero as they satisfied the boundary Lyapunov periodic and aperodic stable conditions. With improved filter of observer, the distortion of primary current crossing end-effect zones could be effectively suppressed. The effectiveness of the proposed algorithm was verified by the experimental results.