Tracking Performance Limitations of Networked Control Systems with Repeated Zeros and Poles

Chao Yang Chen, Feng Liu, Lianghong Wu, Huaicheng Yan, Weihua Gui, Harry Eugene Stanley

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

In this article, the performance limitations problem are investigated for a class of signal-input, signal-output networked control systems with repeated zeros and poles. The additive white noise is adopted in the communication channel. The tracking performance limitations are investigated based on a two-degree of freedom (2DOF) controller. The results demonstrate that the multiplicity of nonminimum phase (NMP) zeros and unstable poles of the plant can affect the tracking performance limitations. The explicit quantitative relationship is characterized for the tracking performance limitations, which is derived based on NMP zeros, unstable poles of the plant with corresponding multiplicity, as well as the statistical characteristics of the reference noise and communication noise. The admissible infimal signal-to-noise ratio (SNR) is also obtained for the tracking system by using a 2DOF controller structure, where the admissible infimal SNR can satisfy the stability conditions while achieving tracking performance limitations. Finally, an illustrative example is presented to validate the effectiveness of our proposed scheme.

Original languageEnglish
Article number9106782
Pages (from-to)1902-1909
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume66
Issue number4
DOIs
StatePublished - Apr 2021

Keywords

  • Admissible infimal signal-to-noise ratio (SNR)
  • communication noise
  • reference noise
  • repeated zeros and poles
  • tracking performance limitation

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