Adaptive Event‐Triggered Asynchronous Finite‐Time H ∞ 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‐timeH ∞$$ {H}_{\infty } $$ 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 stochasticH ∞$$ {H}_{\infty } $$ finite‐time boundedness (FTB) and stochasticH ∞$$ {H}_{\infty } $$ finite‐time contractive boundedness (FTCB). Lastly, an engineering‐based example is shown to validate the efficacy of the proposed method.