论文标题
具有未知控制方向的多代理最佳共识
Multi-agent Optimal Consensus with Unknown Control Directions
论文作者
论文摘要
本文研究了一组具有未知控制方向的异质高阶药物的最佳共识问题。与现有共识结果相比，对于某些分布式优化问题的最佳解决方案，共识点进一步需要。为了解决此问题，我们首先使用具有最佳信号发生器的每个代理来重现给定分布式优化问题的全局最佳点，然后通过为这些增强代理开发一些自适应跟踪控制器来完成全局最佳共识设计。此外，我们将在只有实时梯度时提出扩展名。在这两种情况下，所有药物的轨迹均显示出明确的定义，并在最佳点上达成了预期共识。给出了两个数值示例以验证我们算法的功效。
This paper studies an optimal consensus problem for a group of heterogeneous high-order agents with unknown control directions. Compared with existing consensus results, the consensus point is further required to an optimal solution to some distributed optimization problem. To solve this problem, we first augment each agent with an optimal signal generator to reproduce the global optimal point of the given distributed optimization problem, and then complete the global optimal consensus design by developing some adaptive tracking controllers for these augmented agents. Moreover, we present an extension when only real-time gradients are available. The trajectories of all agents in both cases are shown to be well-defined and achieve the expected consensus on the optimal point. Two numerical examples are given to verify the efficacy of our algorithms.
