Bumpless transfer fault detection for switched systems: a state-dependent switching approach

This paper focuses on the bumpless transfer fault detection problem for switched systems under state-dependent switching. The goal is to find an effective constraint on filters and an appropriate switching signal to reduce the bumps of residual signals caused by switching while achieving expected fault sensitivity and robustness of the filtering systems. For transient behavior description, a novel bumpless transfer constraint is proposed to limit the amplitude of residual signals into a bounded range at the switching points. In terms of multiple Lyapunov functions, a state-dependent switching law is designed to realize fault detection performance even if the robustness and fault sensitivity of each subsystem are local. Sufficient conditions for the bumpless transfer fault detection problem are provided in the form of linear matrix inequalities. Finally, a numerical example is given to validate the effectiveness of the developed method.