Simultaneous design of reliable H∞ filter and fault detector for linear continuous-time systems with sensor outage faults

The paper studies the problem of simultaneous design of reliable filter and fault detector for a class of linear continuous-time systems with bounded disturbances and nonzero constant reference inputs. An H_infin filter and two detection weighting matrices are designed simultaneously. The filter is designed for both fault free and faulty cases, and by manipulating the steady-state values of the filter states and the measured outputs with the detection weighting matrices, a residual is then generated, through which the sensor outage faults can be detected effectively. A convergent iterative algorithm based on linear matrix inequality (LMI) is given to obtain the solutions. A numerical example is given to illustrate the effectiveness of the proposed methods.