Hybrid Event-Triggered Fuzzy Secure Consensus for PDE-Based Multi-Agent Systems Subject to Time Delays and Multiple Attacks

This study constructs an innovative event-triggered (ET) fuzzy consensus framework for nonlinear delayed parabolic PDE-based multi-agent systems (MASs) to resist multiple attacks. Firstly, a novel dual-scale modeling approach is introduced that synergizes Galerkin-based order reduction with Takagi-Sugeno fuzzy technique to construct a relatively precise ODE-based MASs capturing the dominant dynamics. Secondly, a resilient dynamic ET strategy is formulated to orchestrate communication scheduling, which not only curtails the demand on network bandwidth but also delivers superior dynamic performance over established ET schemes. Building upon this mechanism, a distributed consensus protocol is devised with inherent robustness to counteract cyber attacks. Subsequently, by employing a constructed Lyapunov functional, sufficient criteria guaranteeing resilient cooperative control are deduced, and the corresponding controller parameters are computed by solving linear matrix inequalities. The practical effectiveness and theoretical contributions of the proposed approach are ultimately corroborated through simulations conducted on thermal management systems for cooling fins of a hypersonic vehicle.