Adaptive Event-triggered Fault Detection Filter for a Class of Conic-type Nonlinear Hidden Semi-Markov Jump Systems

This paper investigates the filtering-based asynchronous fault detection problem for a class of continuous-time conic-type nonlinear semi-Markov jump systems via adaptive event-triggered approach. Firstly, the asynchrony of filter modes and system modes are described by a hidden semi-Markov model. Secondly, an adaptive event-triggered scheme is developed to reduce the transmissions from the system to the designed filter and improve the efficiency of data transmission. Then, by applying linear matrix inequalities techniques, sufficient conditions are obtained to ensure the stochastic stability and H ∞ performance of the fault detection system. Finally, a tunnel diode circuit model is given to confirm the accuracy and effectiveness of the designed approach.