Modelling and H∞ fault tolerant control problem of wind energy conversion system (WECS) was studied with sensor and actuator faults. The normal stochastic piecewise affine models for WECS with multiple working points were established. Also the stochastic piece wise affine (PWA) models were pro-posed for WECS with generator speed sensor, power sensor gain loss faults and pitch angle actuator, gen-erator actuator gain loss faults. A reliable piecewise linear quadratic state feedback regulator was designed for WECS with the actuator and sensor faults. A sufficient condition for existence of passive fault tolerant controller was derived and formulated as feasibility of a set of linear matrix inequalities. Simulation results of control systems confirm that they are capable of controlling the wind turbine exposed to multiple simul-taneous sensors faults or actuators faults. Consequently, the reliability of wind turbines is improved.%针对带有传感器、执行器故障的风能转换系统(WECS)的建模与容错控制问题，提出了基于随机分段仿射(PWA)模型的建模方法和 H∞容错控制方法。建立了风电机组多工作区域的随机PWA 正常模型；针对 WECS 的桨距角传感器故障、功率测量传感器故障、桨距角执行器故障、电机电磁转矩执行器故障，建立风能转换系统的随机 PWA 故障模型；基于 WECS 系统的正常和故障的随机 PWA 模型，利用非线性耗散系统的稳定性理论与 H∞鲁棒控制方法，提出并证明了 WECS 系统的 H∞容错控制器存在性定理，给出控制器求解方法。仿真结果表明本文所提出的基于随机PWA 模型的风能转换系统的 H∞容错控制方法对于存在的传感器、执行器增益故障具有较好的容错控制性能。
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