Event-triggered H∞ and reduced-order asynchronous filtering for fuzzy Markov jump systems with time-varying delays

The challenge of H-infinity and asynchronous reduced-order design for Takagi-Sugeno (T-S) fuzzy Markovian jump systems (MJSs) with time-varying delays under the event-triggered scheme (ETS) is investigated in this dissertation. A distributed event-triggered strategy is provided on the basis of the specified triggering function to ensure consensus in the system, so effectively reducing data transmission. The existence conditions for a class of Markovian jump discrete-time systems are determined. Unlike previous results, we present a novel membership function-dependent fuzzy Lyapunov-Krasovsikii (L-K) functional with mode-dependent integral terms, resulting in a stochastically stable filtering error system with the desired H-infinity performance. By solving linear matrix inequality (LMIs), the recommended filter parameters are achieved. The proposed reduced-order filter is demonstrated in numerical examples as effective as it is advantageous.