Robust fault-tolerant control of uncertain systems with state and control time-delays

A kind of fault-tolerant control strategy is proposed for a class of uncertain systems with state and control time delays in the article. Applying the linear matrix inequality (LMI) method, the sufficient condition for the closed-loop system to have robust stabilization and robust fault-tolerant capability is derived basing on the Lyapunov stability theory. A robust state-feedback controller with parameter perturbations is designed which takes the possible actuator or sensor faults into consideration. According to different fault types in engineering systems, a multi-state fault model is presented. Finally a numerical example of the annealing furnace and its simulation results are given.