Fault-tolerant Controller Design for Linear Continuous Control Systems with a Small Time-delay

The fault-tolerant control problem for linear continuous control systems with asmall time-delay is studied. It is proved that if the small time-delay satisfies an ineuqality,theclosed-loop system stability can be maintained in the presence of actuator failures or sensorfailures by properly selecting the weighting matrices Q and R of Riccati euqation, Designmethods of fault-tolerant controller are preseted.An example is given to demonstrate the ef-fectness of proposed method.