TY - JOUR
T1 - Tracking Performance Limitations of Networked Control Systems with Repeated Zeros and Poles
AU - Chen, Chao Yang
AU - Liu, Feng
AU - Wu, Lianghong
AU - Yan, Huaicheng
AU - Gui, Weihua
AU - Stanley, Harry Eugene
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/4
Y1 - 2021/4
N2 - 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.
AB - 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.
KW - Admissible infimal signal-to-noise ratio (SNR)
KW - communication noise
KW - reference noise
KW - repeated zeros and poles
KW - tracking performance limitation
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U2 - 10.1109/TAC.2020.2999444
DO - 10.1109/TAC.2020.2999444
M3 - Article
AN - SCOPUS:85089861955
SN - 0018-9286
VL - 66
SP - 1902
EP - 1909
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 4
M1 - 9106782
ER -