New Interval Observer-Based Fault Detection for Switched Systems

The primary focus of this chapter is to design a new interval observer-based Fault Detection (FD) method for a class of discrete-time switched systems subject to unknown but bounded state disturbances and measurement noise. The proposed technique is investigated to reduce the conservatism of gain matrices and to offer more degrees of design freedom by integrating weighted matrices in the structure of the FD observer. Using multiple quadratic Lyapunov functions (MQLF) with an average dwell time (ADT) control condition, novel solvable conditions are derived in terms of linear matrix inequalities (LMIs). Furthermore, the FD decision is based on residual intervals generated by the proposed interval observers. The efficiency of the proposed approach is highlighted through simulation results on an academic example.