Time-varying distributed fuzzy resource allocation for multi-agent system over switching topology

In real-world applications, resource allocations in multi-agent systems often involves fuzzy parameters and time-varying losses, arising from uncertainties in information and fluctuating environmental conditions. To address these challenges, this paper investigates time-varying distributed fuzzy resource allocations (TvDFRAs) and presents a novel dynamical system tailored for multi-agent systems operating over switching topologies. The proposed dynamical system integrates fuzzy theory with sliding mode control techniques, and a comprehensive analysis is provided to evaluate its performance and effectiveness. Additionally, an improved dynamical system is developed to track optimal solutions of TvDFRAs, even when the objective functions are time-varying. In contrast to prior studies that achieve only asymptotic convergence to optimal solutions, the dynamical systems proposed here ensure exponential convergence for multi-agent systems, even in presence of variable communication networks. Finally, numerical examples using wind turbine systems are conducted to demonstrate the effectiveness of the two proposed dynamical systems.