Delta operator based fault detection filter design for uncertain Steer-by-Wire systems with time delay

This paper focuses on the problem of fault detection for SbW systems with uncertainties and communication time delays via delta operator approach. By designing a filter to generate a residual signal, a fault detection system for SbW system is constructed via delta operator and a threshold function is given. Based on the traditional robust fault detection filter and linear matrix inequality (LMI) approach, the system fault detection can be converted to the solution of the robust control problem. Then the solvability condition of the designed fault detection filter is achieved by solving a convex optimization problem. Finally, the performance of the proposed fault detection system is validated.