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Model-based control with intermittent feedback: Bridging the gap between continuous and instantaneous feedback

机译:具有间歇性反馈的基于模型的控制:弥合连续反馈和瞬时反馈之间的差距

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The aim of this article is to provide a set of results in stability of model-based networked control systems (MB-NCS) with intermittent feedback, which we intend will serve as a nexus between the study of systems with instantaneous feedback and with continuous feedback. We apply the concept of intermittent feedback to a class of networked control systems known as MB-NCS. MB-NCS use an explicit model of the plant in order to reduce the network traffic while attempting to prevent excessive performance degradation, while intermittent feedback consists of the loop remaining closed for some fixed interval, then open for another interval. We begin by introducing the basic architecture for model-based control, then discuss the concept of intermittent feedback, its applications in various fields and its role as a link between instantaneous and continuous feedback. We then provide our results for the model-based architecture with intermittent feedback. We also address the case with output feedback (through the use of a state observer), providing a full description of the state response of the system, as well as a necessary and sufficient condition for stability in each case. Extensions of our results to cases with nonlinear plants are also presented. Next, we investigate the situation where the update times and h are time-varying, first addressing the case where they have upper and lower bounds, then moving on to the case where their distributions are independent identically distributed or driven by a Markov chain. Finally, we study the case of model-based control with intermittent feedback for discrete-time plants, again providing stability conditions for the basic architecture, the state observer case and the case with time-varying parameters.
机译:本文的目的是提供一组具有间歇反馈的基于模型的网络控制系统(MB-NCS)的稳定性的结果,我们打算将其用作研究具有瞬时反馈和连续反馈的系统之间的联系。我们将间歇性反馈的概念应用于一类称为MB-NCS的网络控制系统。 MB-NCS使用工厂的显式模型,以减少网络流量,同时尝试防止过度的性能下降,而间歇性反馈则包括使环路在某个固定时间间隔内保持封闭,然后在另一个时间间隔内保持开放。我们首先介绍基于模型的控制的基本体系结构,然后讨论间歇性反馈的概念,其在各个领域中的应用以及其在瞬时和连续反馈之间的联系。然后,我们为带有间歇性反馈的基于模型的体系结构提供结果。我们还通过输出反馈(通过使用状态观察器)解决该情况,提供了系统状态响应的完整描述,以及在每种情况下稳定性的必要和充分条件。还介绍了我们的结果扩展到非线性植物的情况。接下来,我们研究更新时间和h随时间变化的情况,首先解决它们具有上限和下限的情况,然后继续研究其分布独立地相同地分布或由马尔可夫链驱动的情况。最后,我们研究了离散工厂间歇性反馈的基于模型的控制情况,再次为基本体系结构,状态观察者情况和时变参数情况提供了稳定性条件。

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