Stabilization of networked control systems with weakly hard real-time dropout description
Stabilization of networked control systems with weakly hard real-time dropout description
复制标题
具有弱硬实时丢失描述的网络控制系统的稳定性
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
F. Allgöwer
中科院分区：
文献类型：
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作者：
Steffen Linsenmayer;F. Allgöwer
在网络控制系统中使用弱硬实时约束对丢包过程进行建模，旨在研究更符合实际的网络模型，同时仍能够在李雅普诺夫意义下保证稳定性。一个未解决的问题是，对于给定的丢包特性是否有可能找到一个稳定控制器，这是当前研究的主要问题。它被形式化为弱硬实时约束下的状态反馈可镇定性问题。为了解决这个问题，利用已被证明适用于研究任意有界丢包的切换李雅普诺夫函数的切换系统稳定性条件，被扩展到考虑受约束的切换序列。这些弱硬实时约束的序列由一个有标记的图表示，该图高度依赖于一个具有受限的、适当选择的离散化的辅助系统。总体结果在一个数值例子中被证明是有效的。
The usage of weakly hard real-time constraints to model the loss process in Networked Control Systems aims for studying more realistic network models, while still being able to guarantee stability in the sense of Lyapunov. An open question is, whether it is possible to find a stabilizing controller for a given loss specification, which is the main question of the study at hand. It is formalized as the problem of state feedback stabilizability under weakly hard real-time constraints. To solve the problem, stability conditions for switched systems employing switched Lyapunov functions that have already been shown to be suitable for studying arbitrary bounded packet losses are extended towards the consideration of constrained switching sequences. Those sequences for the weakly hard real-time constraints are represented by a labeled graph that highly relies on an auxiliary system with a restricted, suitably chosen discretization. The overall result shows to be effective in a numerical example.