论文标题

在地层中使用零级甲骨口的优化

Optimization with Zeroth-Order Oracles in Formation

论文作者

Michael, Elad, Zelazo, Daniel, Wood, Tony A., Manzie, Chris, Shames, Iman

论文摘要

在本文中,我们考虑了没有梯度信息的代理网络对时间变化功能的优化。提出的一种新方法,仅使用邻居信息在每个代理的位置估算梯度。梯度估计与构造控制器相结合,以最大程度地减少梯度估计误差并防止代理碰撞。为满足polyak-lojasiewicz不等式的功能提供了算法的收敛结果。提供模拟和数值结果以支持理论结果。

In this paper, we consider the optimisation of time varying functions by a network of agents with no gradient information. The proposed a novel method to estimate the gradient at each agent's position using only neighbour information. The gradient estimation is coupled with a formation controller, to minimise gradient estimation error and prevent agent collisions. Convergence results for the algorithm are provided for functions which satisfy the Polyak-Lojasiewicz inequality. Simulations and numerical results are provided to support the theoretical results.

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