Fault diagnosis and fault tolerant control for the non-Gaussian nonlinear stochastic distribution control system using Takagi-Sugeno fuzzy model

For the non-Gaussian nonlinear stochastic distribution control system using Takagi-Sugeno fuzzy model, the nonlinear dynamic system is converted to a linear system. A fault diagnosis algorithm using RBF neural network and a sliding mode fault tolerant control algorithm is presented. A new adaptive fault diagnosis algorithm is adopted to diagnose the gradual fault that occurred in the system, and the stability of the observation error system is proved. Differential evolution (DE) algorithm is used to optimise the central vector and width vector of RBF neural network. The sliding mode control algorithm is used to reconfigure the controller, based on the fault estimation information. The post-fault probability density function (PDF) can still track the given distribution. Finally, simulation results show the effectiveness of the proposed fault diagnosis and fault tolerant control algorithm.