Integrated fault diagnosis and fault tolerant control for stochastic distribution system using dynamic modeling

The purpose of the fault tolerant control of the stochastic distribution systems is to reconfigure the controller using the fault diagnosis information and make the output probability density function(PDF) still track the given probability density function. To overcome the shortcoming of modeling using the static B-spline basis function, dynamic basis functions are used to carry out the iterative modeling and fault tolerant control. By separating the whole control horizon into certain number of the time domain sub-intervals called batches, in each batch, the radial basis function (RBF) is fixed and the adaptive observer based fault diagnosis algorithm is used to estimate the size of the fault. Between two batches, the centers and widths of the RBF, the gain of the fault diagnosis observer and the parameters of the controller should all be tuned. In the next batch, the post-tuning RBF are used to approximate the output PDF and the post-tuning fault tolerant controller is used to act on the system, leading to integrated fault diagnosis and fault tolerant control.