An event-triggered distributed nonsmooth resource allocation algorithm for second-order multi-agent systems
Xiasheng Shi, Lifu Ding, Zhiyun Lin · 2023
This brief aims to solve the distributed resource allocation problem for second-order multi-agent systems over an undirected network, where the global objective function is strongly convex but not necessarily Lipschitz continuous for its subgradient. The resource state is subject to a global equality constraint and several local inequality constraints with a convex function. Unlike existing tracking deviation control strategies, a dynamic event-triggered and initialization-free distributed resource allocation algorithm is proposed to reduce the communication burden among agents. The local constraints are solved by an adaptive control approach based on the Karush-Kuhn-Tucker condition. It is shown that the proposed algorithm asymptotically converges to the optimal solution by using the set-valued LaSalle’s invariance principle. Moreover, it is guaranteed that Zeno behavior is ruled out for any agent. Finally, a simulation example shows the effectiveness of the proposed algorithm.