On coprime factorization for linear system with finite discrete jumps

This paper deals with the problem of active fault-tolerant control design for a class of linear systems with time-delays. For a class of linear time delay system, firstly, adaptive observer was designed to estimate fault, then a new active fault-tolerant controller is designed which can guarantee that the controlled system keep stable in faulty status, thus the active fault-tolerant control design for this systems is realized. Finally, A numerical example is given to illustrate the efficiency of the proposed design method.