Robust fault-tolerant control for uncertain time-delay systems with nonlinear term

Robust fault-tolerant control for time-delay system with norm-bounded parameter uncertainties and nonlinear term is studied in the paper. Considering the different fault types in engineering systems, we present a multi-state fault model. The sufficient condition for the closed-loop system to have robust stabilization and robust fault-tolerant capability under any admissible actuator fault is derived basing on Lyapunov stability theory and linear matrix inequality (LMI) method. Time-delay state feedback controller is obtained by solving a set of linear matrix inequalities. A numerical example of an annealing furnace and its simulation results are given.