Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?

Yipeng Yang; Yipeng Yang

doi:10.3934/ElectrEng.2019.1.16

AIMS Electronics and Electrical Engineering

2019, Volume 3, Issue 1: 16-32. doi: 10.3934/ElectrEng.2019.1.16

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Research article Special Issues

Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?

Yipeng Yang ^,

Department of Mathematics and Statistics, University of Houston - Clear Lake, Houston, TX 77058

Received: 23 October 2018 Accepted: 01 January 2019 Published: 08 January 2019

In order to overcome the constraints of Networked Control Systems (NCSs) such as random packet delays or dropouts, it is a natural idea to estimate the system state and compensate for the time delays on the controller side. This paper provides an estimate on the scale of the complete dynamical system that uses this idea of control. The structure of the complete system is clearly illustrated. Then a concise sufficient and necessary stability condition is provided. In the numerical example, it is shown that this seemingly small system turns out to have a very large scale.
- networked control system,
- regime switching system,
- random delay,
- state compensation,
- stability analysis
Citation: Yipeng Yang. Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?[J]. AIMS Electronics and Electrical Engineering, 2019, 3(1): 16-32. doi: 10.3934/ElectrEng.2019.1.16

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Abstract

In order to overcome the constraints of Networked Control Systems (NCSs) such as random packet delays or dropouts, it is a natural idea to estimate the system state and compensate for the time delays on the controller side. This paper provides an estimate on the scale of the complete dynamical system that uses this idea of control. The structure of the complete system is clearly illustrated. Then a concise sufficient and necessary stability condition is provided. In the numerical example, it is shown that this seemingly small system turns out to have a very large scale.

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