Fault Tolerant Control for Uncertain Time-Delay Systems with a Trajectory Tracking Approach

الملخص EN

This paper studies the problem of fault tolerant control by trajectorytracking for a class of linear constant time-delay systems.

The aim is todesign a control law by considering the fault detected by the observer tomake the faulty system track the reference model even if faults occur.

By considering two kinds of actuator faults, one constant and another time-varying,the corresponding proportional integral observers and active FTCcontrol laws are designed, respectively.

State tracking error, state estimationerror, output estimation error, and fault estimation error are combined intoa descriptor system.

Based on Lyapunov-Krasovskii functional approach stability problems of the descriptor systemare easily solved in terms of the Linear Matrix Inequalities (LMI).

Finally, a numerical example is consideredto prove the effectiveness in both cases.