论文标题
不确定性下相互作用的多代理系统的强大反馈稳定
Robust feedback stabilization of interacting multi-agent systems under uncertainty
论文作者
论文摘要
我们考虑在不确定性下针对大规模交互代理系统的控制策略。特别的重点是稳健控制的设计，该控制允许随着时间的推移绑定受控系统的方差。为此，我们考虑$ \ MATHCAL {H} _ \ infty $控制系统的控制策略和系统的平均字段描述。我们显示了$ \ Mathcal {H} _ \ Infty $ Norm的绑定，用于独立于代理数的稳定控制器。此外，我们将新的控制与现有方法相比，通过普遍的多项式混乱来治疗不确定性。为一维和二维试剂系统提供了数值结果。
We consider control strategies for large-scale interacting agent systems under uncertainty. The particular focus is on the design of robust controls that allow to bound the variance of the controlled system over time. To this end we consider $\mathcal{H}_\infty$ control strategies on the agent and mean field description of the system. We show a bound on the $\mathcal{H}_\infty$ norm for a stabilizing controller independent on the number of agents. Furthermore, we compare the new control with existing approaches to treat uncertainty by generalized polynomial chaos expansion. Numerical results are presented for one-dimensional and two-dimensional agent systems.
