Event-triggered fuzzy intermittent control for nonlinear DDPS with unknown spatiotemporal disturbances

• This paper constructs an exogenous PDE system and designs a disturbance observer to counteract the effects of unknown disturbance. • An intermittent control strategy is proposed based on the state and disturbance observers. • This paper uses the T-S fuzzy model to describe the nonlinear DDPS, and a novel Lyapunov-Krasovskii functional (LKF) is proposed to facilitate exponential stability analysis. This paper focuses on designing an anti-disturbance fuzzy intermittent control scheme for nonlinear delayed distributed parameter system (DDPS) subject to unknown spatiotemporal disturbances. Specifically, the paper models the nonlinear DDPS using the Takagi-Sugeno fuzzy model. Then a disturbance observer is employed to accurately estimate external disturbances. In light of the system’s incomplete observability, a system observer is introduced. To alleviate network communication burdens and conserve resources, distinct event-triggered mechanisms (ETMs) are designed for the outputs of both observers. Furthermore, based on the states at the triggering instants of the two observers, a fuzzy intermittent control strategy is proposed. Moreover, a novel Lyapunov-Krasovskii functional is formulated to analyze the system’s stability, and design conditions for controller and observer gains are provided using linear matrix inequalities. The paper also proves that the designed ETMs avoid Zeno behavior, ensuring practical feasibility. Finally, simulations validate the proposed method’s effectiveness.