Actuator fault sliding mode observer design with signal quantization

In this paper, the design problem of sliding mode observer is addressed for a class of linear continuous-time systems with actuator faults and limited data communication. A new descriptor sliding mode observer approach is developed to solve this design issue, where a discontinuous input is constructed to reject actuator faults. It is proved that the lower bound on the density of the quantizer is 1 /3, under which the quantization errors could be compensated completely by the switching term of the observer. Based on the proposed observer method, the system state vector can effectively track the state estimator and quantization errors simultaneously. Finally, a practical example is provided to show the effectiveness of the presented observer design method.