Zhang Jin, Liu Lu, Ji Haibo, Wang Xinghu
IEEE Trans Cybern. 2024 Feb;54(2):1167-1177. doi: 10.1109/TCYB.2022.3191938. Epub 2024 Jan 17.
This article investigates the distributed optimal output consensus problem of heterogeneous linear multiagent systems over weight-unbalanced directed networks. A novel distributed continuous-time state feedback controller is proposed to steer the outputs of all the agents to converge to the optimal solution of the global cost function. Under the standard condition that the unbalanced digraph is strongly connected and the local cost functions are strongly convex with global Lipschitz gradients, the exponential convergence of the closed-loop multiagent system is established. Then, the proposed state feedback control law is extended to an observer-based output feedback setting. Two examples are finally provided to illustrate the effectiveness of the proposed control schemes.
本文研究了权重不平衡有向网络上异构线性多智能体系统的分布式最优输出一致性问题。提出了一种新颖的分布式连续时间状态反馈控制器，以使所有智能体的输出收敛到全局代价函数的最优解。在不平衡有向图强连通且局部代价函数具有全局Lipschitz梯度的强凸性这一标准条件下，建立了闭环多智能体系统的指数收敛性。然后，将所提出的状态反馈控制律扩展到基于观测器的输出反馈设置。最后提供了两个例子来说明所提出控制方案的有效性。
