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Complex chaotic behaviour in on-chip automatic tuning loops for continuous-time filters

机译:片上自动调谐环路中连续时间滤波器的复杂混沌行为

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摘要

Continuous-time filters (CTF) with automatic tuning loops are nonlinear feedback systems with potential instability. While an appropriate small signal linear dynamic modeling of the tunable filter should be obtained for design purpose, its ability to predict the real nonlinear dynamic behavior of the system is limited. In order to overcome this problem, a general and systematic procedure is used to obtain a large signal nonlinear model. The obtained model can accurately predict nonlinear phenomena such as bifurcations and chaotic behavior. From this model, some numerical simulations results are presented in this paper. As far as the authors know, the observation of these phenomena in CTF with tuning loops has not been previously presented. Thus, the results obtained in this work can provide some help to obtain improved controllers (with higher bandwidth and better performance) for the two involved control loops.
机译:具有自动调谐环路的连续时间滤波器(CTF)是具有潜在不稳定性的非线性反馈系统。虽然应出于设计目的获得适当的可调滤波器小信号线性动态建模,但其预测系统实际非线性动态行为的能力受到限制。为了克服该问题,使用通用的系统过程来获得大信号非线性模型。所获得的模型可以准确地预测非线性现象,例如分叉和混沌行为。根据该模型,本文给出了一些数值模拟结果。据作者所知,以前没有介绍过使用调谐循环在CTF中观察这些现象。因此,在这项工作中获得的结果可以提供一些帮助,以便为两个涉及的控制回路获得改进的控制器(具有更高的带宽和更好的性能)。

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