论文标题

从经典到网络控制:改造史密斯预测变量的概念

From classical to Networked Control: Retrofitting the Concept of Smith Predictors

论文作者

Steinberger, Martin, Horn, Martin

论文摘要

过滤后的史密斯预测因子已良好,用于控制持续时间延迟的线性植物。除了这种经典的应用程序方案外,它们还在网络控制循环中使用,在该循环中,测量值是通过传输通道单独的数据包发送的,该传输通道会受到时间变化的延迟。但是,在这种情况下,不能提供稳定性保证。 本文说明,必须考虑到稳定性分析的时间变化延迟以及传输的包装特征。因此,考虑了三个使用不同数据包选择和保持机制的网络协议。给出了网络反馈循环稳健稳定性的标准。它们基于较小的增益定理,并允许使用有限数据包延迟的计算廉价方法来检查稳定性。仿真示例提供了有关提出的方法的洞察力,并说明了为什么包含时间变化的网络传输特征对于稳定性分析至关重要。

Filtered Smith predictors are well established for controlling linear plants with constant time delays. Apart from this classical application scenario, they are also employed within networked control loops, where the measurements are sent in separate packets over a transmission channel that is subject to time-varying delays. However, no stability guarantees can be given in this case. The present paper illustrates that the time-varying delays as well as the packetized character of the transmissions have to be taken into account for stability analysis. Hence, three network protocols, which use different packet selection and hold mechanisms, are considered. Criteria for robust stability of the networked feedback loop are given. They are based on the small gain theorem and allow a computationally inexpensive way to check stability for the case with bounded packet delays. Simulation examples provide insight into the presented approach and show why the inclusion of the time-varying packetized character of the network transmissions is vital for stability analysis.

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