Fault detection for switched systems based on pole assignment and zonotopic residual evaluation

This paper considers fault detection problem for a class of discrete-time switched systems with actuator faults. Pole assignment technique and H_∞ design are used to develop the fault sensitivity and the disturbance attenuation condition of the residual, respectively. The design conditions of the observer are derived in terms of Linear Matrix Inequalities (LMIs). In addition, the disturbances and measurement noises are supposed to be unknown but bounded by zonotopes. A zonotopic method is then presented to evaluate the residual. A numerical example is performed to illustrate the effectiveness of the proposed method through a comparison with the results obtained without considering sensitivity and robustness analysis.