Mean-square stabilizability via output feedback for a non-minimum phase networked feedback system
Mean-square stabilizability via output feedback for a non-minimum phase networked feedback system
复制标题
非最小相位网络反馈系统通过输出反馈实现均方稳定性
DOI：
10.1016/j.automatica.2019.03.001
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发表时间：
2019
期刊：
影响因子：
6.4
通讯作者：
Jie Chen
中科院分区：
文献类型：
--
作者：
Jieying Lu;Weizhou Su;Yilin Wu;Minyue Fu;Jie Chen
本文通过输出反馈研究了具有非最小相位对象的网络化线性时不变（LTI）反馈系统的均方稳定性。在反馈系统中，控制信号通过一组可能存在丢包的并行通信通道传送到设备。我们的目标是解析地描述信道丢包概率和系统均方稳定性中的对象特性之间的内在约束。这是一个非常难的问题。这里，我们关注的是对象的相对度为1，并且对象的每个非最小零只与一个控制输入通道相关联的情况。然后，得到了系统均方稳定性下丢包概率的可容许区域。此外，在该区域内，根据对象的非最小相位零、不稳定极点和与对象的可控子空间结构有关的Wonham分解形式，给出了一组超矩形。给出了一个算例，说明了网络系统均方稳定性的基本约束条件。
This work studies mean-square stabilizability via output feedback for a networked linear time invariant (LTI) feedback system with a non-minimum phase plant. In the feedback system, the control signals are transmitted to the plant over a set of parallel communication channels with possible packet dropout. Our goal is to analytically describe intrinsic constraints among channel packet dropout probabilities and the plant’s characteristics in the mean-square stabilizability of the system. It turns out that this is a very hard problem. Here, we focus on the case in which the plant has relative degree one and each non-minimum zero of the plant is only associated with one of control input channels. Then, the admissible region of packet dropout probabilities in the mean-square stabilizability of the system is obtained. Moreover, a set of hyper-rectangles in this region is presented in terms of the plant’s non-minimum phase zeros, unstable poles and Wonham decomposition forms which is related to the structure of controllable subspace of the plant. A numerical example is presented to illustrate the fundamental constraints in the mean-square stabilizability of the networked system.