Summary A proportional multi‐integral (PMI) observer scheme is used to reconstruct actuator and sensor faults in large‐scale wind turbines. For the nonlinear full‐load region, a PMI observer in Takagi‐Sugeno form is used. Two different methods are proposed for the observer design: a Lyapunov‐based and a modified linear quadratic regulator approach, where the stability is ensured by a negative derivative of the Lyapunov function candidate. The actuator and sensor faults are directly reconstructed from an augmented state‐space vector. The control inputs and measurement signal are then modified with the reconstructed fault signals to achieve fault‐tolerant control in the presence of faults with a similar behavior to the fault‐free case. It is shown by extensive simulation studies that the PMI observer is able the reconstruct offset and ramp‐shaped faults with high accuracy. The performance of the fault reconstruction and fault‐tolerant control scheme based on a 4‐degree‐of‐freedom observer model is tested in simulations by a high‐order 24‐degree‐of‐freedom model with the aeroelastic code FAST by the National Renewable Energy Laboratory. The new results are also compared with those of the previously published fault reconstruction scheme using Takagi‐Sugeno sliding‐mode observers.
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Kühne et al. (2017) studied this question.
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