论文标题
奇异的扰动平均，并应用于生物启发的3D来源寻求
Singularly Perturbed Averaging with Application to Bio-Inspired 3D Source Seeking
论文作者
论文摘要
我们分析了一类奇异的高振幅高振幅，高频振荡系统，这些系统在超级寻求应用中产生。我们为平均和建立该类别系统的轨迹与适当平均减少订单系统的轨迹的融合提供明确的公式，并通过将平均定理与奇异扰动技术相结合。最后，我们提出了一种新型的生物启发的3D来源，以寻求算法并建立其奇异的实践稳定性。
We analyze a class of singularly perturbed high-amplitude, high-frequency oscillatory systems that arises in extremum seeking applications. We provide explicit formulas for averaging and establish the convergence of the trajectories of this class of systems to the trajectories of a suitably averaged reduced order system by combining the higher order averaging theorem with singular perturbation techniques. Finally, we propose a novel bio-inspired 3D source seeking algorithm and establish its singular practical stability.
