论文标题
大振幅，高频极值寻求控制方案的鲁棒性特性
Robustness properties of a large-amplitude, high-frequency extremum seeking control scheme
论文作者
论文摘要
我们分析了一种极端寻求方案的稳定性和鲁棒性特性，该方案采用了具有足够大的振幅和频率的振荡抖动信号。我们的研究同时考虑了输入和输出干扰。我们考虑一般$ l_ \ infty $ disturtances，这可能会引起振荡抖动信号的共鸣。合适的坐标更改，然后进行平均过程，表明闭环系统近似平均系统的行为。这导致稳定性和鲁棒性特性从平均系统延伸到闭环系统。特别是，我们表明，如果平均系统是输入到州稳定的（ISS），则闭环系统具有类似ISS的属性。
We analyze stability and robustness properties of an extremum seeking scheme that employs oscillatory dither signals with sufficiently large amplitudes and frequencies. Our study takes both input and output disturbances into account. We consider general $L_\infty$-disturbances, which may resonate with the oscillatory dither signals. A suitable change of coordinates followed by an averaging procedure reveals that the closed-loop system approximates the behavior of an averaged system. This leads to the effect that stability and robustness properties carry over from the averaged system to the closed-loop system. In particular, we show that, if the averaged system is input-to-state stable (ISS), then the closed-loop system has ISS-like properties.
