Protocol-based filtering for T-S fuzzy semi-Markov jumping systems with dual asynchronous scheme

This paper explores the complexities of asynchronous filtering within the context of nonlinear semi-Markov jumping systems (FSMJSs), utilizing the T-S fuzzy modeling approach to address nonlinearities. This research significantly advances the field by addressing the dual asynchronous challenges-mode transitions and premise variable mismatches-that have limited the efficacy of previous approaches. Our pioneering dual asynchronous filter, enhanced by a mode monitoring scheme and a non-parallel distributed compensation technique, offers a substantial improvement in filtering efficiency and flexibility. This is particularly significant as it leads to a reduction in system response times and error rates, which are crucial for the stability and reliability of dynamic systems in various industrial applications. A numerical example confirms our method’s superiority, showing a 30% reduction in triggering events compared to standard techniques.