Adaptive Event‐Triggered Asynchronous Finite‐Time <i>H</i>_∞ Filter Design for Linear Neutral Semi‐Markovian Jumping Systems With Mixed Sensor Faults

ABSTRACT This paper studies the design of adaptive event‐triggered asynchronous finite‐time filter for neutral semi‐Markovian jumping systems (SMJSs) with mixed sensor faults. A novel adaptive event‐triggered mechanism (AETM) is constructed to automatically tune trigger threshold, thus alleviating the communication burden. Subsequently, in light of the device's unsafe operating environment, a mixed sensor faults model is taken into account. Next, sufficient conditions are obtained to ensure the filtering error system (FES) meets stochastic finite‐time boundedness (FTB) and stochastic finite‐time contractive boundedness (FTCB). Lastly, an engineering‐based example is shown to validate the efficacy of the proposed method.