Distributed Optimization of Second-Order Multi-Agent Systems With External Disturbance Over Weight-Balanced Digraphs
Shiling Li, Xiaohong Nian, Zhenhua Deng · 2019
This paper studies a distributed optimization problem of second-order multi-agent systems with external disturbance under weight-balanced digraphs. In order to find the exact optimal solution of the optimization problem, we have to reject the local disturbance signals generated by an ecosystem. Based on gradient descent and internal model, we propose a distributed optimization algorithm. Besides, we analyze the global convergence of the algorithm by constructing a suitable Lyapunov function. Finally, we provide an example to illustrate our result.