The fault-tolerant stability for uncertain linear Large-scale systems with unknown time-delays based on state observer

In this paper, the problem of fault-tolerant control is considered for a class of uncertain continuous Large-scale systems with time-delays by using Lyapunov method. The interconnected matrices can be uncertain and are assumed to be bounded. The time-delays under consideration can be arbitrary unknown and varying but bounded. The analysis result of robust control is obtained for the systems based on state observer which is quadratic stabilizability and given a linear immemorial state feedback from interference input to control output. The less delay-dependent sufficient robust fault-tolerant stability conditions for these systems in terms of linear matrix inequalities (LMI) are derived. Based on this, the fault-tolerant controller is designed.