A General Fault Model and Three-decomposition Algorithm for Fault Estimation

In this paper, a general fault model, the necessary and sufficient conditions for detectability and diagnosis of fault in linear system, as well as three-decomposition algorithm for fault estimation have been proposed. Intensive simulations show that the technique not only can determine whether there are faults but also can estimate the process state and fault variables in the system. It is an advantage to use three-decomposition algorithm and the accuracy and velocity of estimation are greatly increased.