ABSTRACT
This paper concerns the dynamic event-triggered fault detection (FD) problem for switched repeated scalar nonlinear systems subject to stochastic disturbance. First, an internal dynamic variable is incorporated into an event-triggered framework to adjust the triggered condition, significantly extending the triggering intervals and reducing data transmission. Then, a time-varying FD filter, which is dwell-time-dependent, is designed to produce a residual signal. By minimizing the error between residual and faults, the FD issue is transformed into an H∞$$ {H}_{infty } $$ filtering problem. By applying a dwell-time-dependent Lyapunov function (DTDLF) approach and the properties of positive diagonally dominant matrices, sufficient conditions are derived to guarantee that the filtering error system is mean-square asymptotically stable with non-weighted H∞$$ {H}_{infty } $$ performance. This method avoids the conservatism associated with the traditional multiple Lyapunov function approach in weighted H∞$$ {H}_{infty } $$ performance analysis. Finally, a simulation example demonstrates the effectiveness of the developed method.
International Journal of Robust and Nonlinear Control, EarlyView. Read More
