General proportional integral observer (GPIO) - based disturbance compensation for minimum variance time synchronization

• Published in: Journal of the Franklin Institute Vol. 360; no. 8; pp. 5588 - 5608
• Main Authors: Jia, Zhian, Dai, Xuewu, Cui, Dongliang, Qin, Fei, Zhou, Dong, Hu, Yuxiang
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.05.2023
• ISSN: 0016-0032; 1879-2693
• DOI: 10.1016/j.jfranklin.2023.03.023

•A general proportional integral observer - based disturbance compensation framework is constructed, using the idea of two-degree-of-freedom design, to achieve compensation for local disturbances and state-consensus control of wireless sensor network systems.•A minimum variance controller based on LMI solving is designed to achieve state consensus control for the complex sensor networks.•The design of the disturbance compensation uses the idea of zero-pole optimization to achieve feedback disturbance rejection control for periodic disturbances, providing a new solution for the handling of periodic disturbances. [Display omitted] Precise time synchronization is an enabling technology for mission-critical time-sensitive Industrial Internet of Things (IIoT). However, the crystal oscillator clock which is widely used in IIoT may suffer from periodic disturbances caused by repetitive motion or periodic vibration. To improve the time synchronization of distributed nodes subject to periodic disturbances, this paper proposes a novel disturbance rejection framework, General-Proportional-Integral-Observer-based Disturbance Compensation (GPIO-DC), with the proof of stability, and combined with a 2-freedom control design strategy to optimize both the disturbance rejection and clock tracking performance. And the GPIO’s unique feature of blocking zeros are fully exploited to reject the periodic disturbance at its frequencies and a zero-pole optimal design algorithm is given. With the disturbance being compensated, a disturbance-free minimum variance time synchronization protocol for a complex network is developed and optimized by using Linear Matrix Inequality (LMI) to minimize the variance of networked synchronization errors. The performance of the proposed method is devalued by intensive simulation. Comparing with recent relevant research, the proposed method achieves a better performance in disturbance rejection and minimum variance.