Fault Detection for a Class of Continuous-Time Switched Affine Systems

In this study, the fault detection issue is addressed for a class of continuous-time switched affine systems. The core of our attention is placed on the construction of a fault-detection filter for generating a residual signal that can be analyzed to determine whether or not a fault occurs in the process. More specifically, a full-order switched affine fault detection filter is designed as a residual generator while also provides the essential information for the output feedback switching function. The global asymptotic convergence is ensured for the augmented systems, and the $H_{2}$ performance index is also satisfied. The design conditions are expressed in terms of linear matrix inequalities, which can be solved feasibly by means of readily available tools. The effectiveness of the proposed fault detection filter design method is illustrated via a numerical example.