论文标题
递归平均生物启发的3D源寻求
Recursive Averaging with Application to Bio-Inspired 3D Source Seeking
论文作者
论文摘要
我们分析了一类高振幅，高频振荡系统，其中周期性在两个不同的时间尺度上发生，并通过递归应用平均定理来确定其轨迹与适当平均系统的收敛。此外，我们引入了一种新型的生物启发的3D源，该源寻求具有共处传感器的刚性体的算法，并通过将我们的平均结果与单数扰动相结合，证明其在源信号强度场上的典型假设下证明了其实际稳定性。
We analyze a class of high-amplitude, high-frequency oscillatory systems in which periodicity occurs on two distinct time scales and establish the convergence of its trajectories to a suitably averaged system by recursively applying the averaging theorem. Moreover, we introduce a novel bio-inspired 3D source seeking algorithm for rigid bodies with a collocated sensor and prove its practical stability under typical assumptions on the source signal strength field by combining our averaging results with singular perturbation.
