Active Fault Tolerant Control-FTC-Design for Takagi-Sugeno Fuzzy Systems with Weighting Functions Depending on the FTC
In this paper the problem of active fault tolerant control design for noisy systems described by Takagi-Sugeno fuzzy models is studied. The proposed control strategy is based on the known of the fault estimated and the error between the faulty system state and a reference system state. The considered systems are affected by actuator and sensor faults and have the weighting functions depending on the fault tolerant control. A mathematical transformation is used to conceive an augmented system in which all the faults affecting the initial system appear as actuator faults. Then, an adaptive proportional integral observer is used in order to estimate the state and the faults. The problem of conception of the proportional integral observer and of the fault tolerant control strategy is formulated in linear matrices inequalities which can be solved easily. To illustrate the proposed method, It is applied to the three tanks systems.
Keywords: fault estimation, active fault tolerant control, proportional integral observer, nonlinear Takagi-Sugeno fuzzy models, actuator faults, sensor faults
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