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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Event-based feedback control of disturbed input-affine systems
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Event-based feedback control of disturbed input-affine systems

机译：扰动输入仿射系统的基于事件的反馈控制

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摘要

This paper proposes a novel event-based control method for nonlinear systems that are input-output linearizable. A method for the design of an event-based state-feedback controller is proposed which approximates the disturbance rejection behavior of a continuous state-feedback system, referred to as reference system, with adjustable accuracy, while simultaneously reducing the feedback communication effort. The event-based control loop is shown to be input-to-state stable. A bound for the deviation between the behavior the event-based control loop and the reference system is derived. This bound is shown to be a function of the event threshold, which is a design parameter that can be freely chosen. Moreover, the deviation between the outputs of both systems is also proven to be bounded and can be made arbitrarily small by appropriately scaling the event threshold. The minimum time in between consecutive events is shown to be bounded from below by some bound which is explicitly determined. The efficiency of the new control method is demonstrated for a bioreactor example.
机译：本文针对输入输出可线性化的非线性系统提出了一种新颖的基于事件的控制方法。提出了一种基于事件的状态反馈控制器的设计方法，该方法以可调的精度逼近连续状态反馈系统（称为参考系统）的干扰抑制行为，同时减少了反馈通信的工作量。基于事件的控制回路显示为输入到状态稳定。得出了基于事件的控制回路与参考系统之间的行为偏差的界限。该界限显示为事件阈值的函数，该事件阈值是可以自由选择的设计参数。此外，两个系统的输出之间的偏差也被证明是有限的，并且可以通过适当地缩放事件阈值来任意减小。连续事件之间的最短时间显示为从下面以明确确定的某个界限为界。以生物反应器为例说明了新控制方法的效率。

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