Mean-square stabilizability via output feedback for a non-minimum phase networked feedback system
| Autor: | Jieying Lu, Weizhou Su, Minyue Fu, Yilin Wu, Jie Chen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Network packet 020208 electrical & electronic engineering Dropout (communications) 02 engineering and technology Networked control system LTI system theory 020901 industrial engineering & automation Computer Science::Systems and Control Control and Systems Engineering Control theory Parallel communication 0202 electrical engineering electronic engineering information engineering Minimum phase Electrical and Electronic Engineering Subspace topology Communication channel Mathematics |
| Zdroj: | Automatica. 105:142-148 |
| ISSN: | 0005-1098 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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