Dual-rate dynamic event-triggered control for semi-Markov wind turbine systems with singular perturbation parameters

This paper investigates control challenges in singularly perturbed wind turbine systems equipped with permanent magnet synchronous generators, introducing a dual-rate dynamic event-triggered mechanism (DRDETM) within a semi-Markov framework. The wind turbine system is modeled using semi-Markov processes to account for stochastic behavior, emphasizing its inherent dual-time-scale dynamics. A novel DRDETM is proposed, featuring distinct event-triggered conditions for slow and fast state dynamics, enhancing communication efficiency between subsystems and controllers. Finite-time stochastic stability is ensured through sufficient conditions derived from mode-dependent Lyapunov-Krasovskii functionals, enabling the design of reliable controller gains. A simulation example demonstrates the effectiveness of this approach, illustrating its ability to improve the performance of wind energy systems.