Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(10): 3044-3051

https://doi.org/10.1007/s12555-023-0633-y

© The International Journal of Control, Automation, and Systems

Performance Limitations of Network Control Systems Under Channel Delay and Packet Dropouts

Ziwen Lu, Xisheng Zhan*, Jie Wu, and Bo Wu

Hubei Normal university

Abstract

This paper addresses the challenges of network-induced delays and additive white Gaussian noise (AWGN) in the forward channel, along with data packet dropouts in the feedback channel, within the context of a single-input single-output networked control system (NCS). The main objective is to derive an optimal tracking error signal using methods like coprime factorization and H2 norm. Under a single-degree-of-freedom compensator, the expression of performance limitation is obtained using techniques such as inner-outer factorization, external factorization, and partial factorization. The study underscores that the limitations in tracking performance are intricately tied to specific non-minimum phase zeros of the plant and unstable poles. Moreover, factors such as time delay, channel noise, and packet dropout influence these performance constraints.The effectiveness of the proposed approach is demonstrated through comprehensive simulation examples. Additionally, the findings indicate that as the non-minimum phase zero approaches the unstable pole, the systems tracking performance tends towards infinity. In conclusion, the simulation confirms the theoretical results.

Keywords Channel noise, packet dropout, time delay, tracking.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(10): 3044-3051

Published online October 1, 2024 https://doi.org/10.1007/s12555-023-0633-y

Copyright © The International Journal of Control, Automation, and Systems.

Performance Limitations of Network Control Systems Under Channel Delay and Packet Dropouts

Ziwen Lu, Xisheng Zhan*, Jie Wu, and Bo Wu

Hubei Normal university

Abstract

This paper addresses the challenges of network-induced delays and additive white Gaussian noise (AWGN) in the forward channel, along with data packet dropouts in the feedback channel, within the context of a single-input single-output networked control system (NCS). The main objective is to derive an optimal tracking error signal using methods like coprime factorization and H2 norm. Under a single-degree-of-freedom compensator, the expression of performance limitation is obtained using techniques such as inner-outer factorization, external factorization, and partial factorization. The study underscores that the limitations in tracking performance are intricately tied to specific non-minimum phase zeros of the plant and unstable poles. Moreover, factors such as time delay, channel noise, and packet dropout influence these performance constraints.The effectiveness of the proposed approach is demonstrated through comprehensive simulation examples. Additionally, the findings indicate that as the non-minimum phase zero approaches the unstable pole, the systems tracking performance tends towards infinity. In conclusion, the simulation confirms the theoretical results.

Keywords: Channel noise, packet dropout, time delay, tracking.

IJCAS
October 2024

Vol. 22, No. 10, pp. 2955~3252

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