Fuzzy control for Markov singularly perturbed systems with dynamic-probabilistic event-triggered mechanism

Abstract

This study briefly explores fuzzy control for Markov singularly perturbed systems with a dynamic-probabilistic event-triggered mechanism and a dynamic mismatch mechanism. To optimize resource consumption, the proposed event-triggered mechanism leverages the stochastic nature of communication delays. Additionally, a general dynamic mismatch mechanism is introduced to address scenarios where the system and controller modes do not align. Sufficient conditions for ensuring system stability are derived using Lyapunov theory. Finally, the effectiveness of the proposed methodology is validated through both numerical simulations and practical examples.