Event-Triggered Active Disturbance Rejection Control for Uncertain Lower Triangular Stochastic Systems

In this paper, the event-triggered active disturbance rejection control (ADRC) is first addressed for a class of uncertain lower triangular stochastic systems driven by bounded noise and colored noise. The event-triggered extended state observer (ESO) and ADRC controller are designed, where two respective event-triggering mechanisms with a fixed positive lower bound for the inter-execution times for every sample path solution of the stochastic systems are proposed. The stochastic total disturbance representing the coupling of nonlinear unmodeled dynamics, external deterministic disturbance, bounded noise, and colored noise is estimated in real time by the event-triggered ESO and compensated in the event-triggered feedback loop. Both the mean square and almost surely practical convergence of the closed-loop systems is shown with rigorous theoretical analysis. Finally, some numerical simulations are presented to validate the theoretical results.
arXiv admin note: text overlap with arXiv:2302.02395