Diffusion control for a tempered anomalous diffusion system using fractional-order PI controllers

Juan Chen; Bo Zhuang; YangQuan Chen; Baotong Cui

doi:10.1016/j.isatra.2017.04.005

Diffusion control for a tempered anomalous diffusion system using fractional-order PI controllers

ISA Trans. 2018 Nov:82:94-106. doi: 10.1016/j.isatra.2017.04.005. Epub 2017 May 9.

Authors

Juan Chen¹, Bo Zhuang², YangQuan Chen³, Baotong Cui⁴

Affiliations

¹ Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China; School of IoT Engineering, Jiangnan University, Wuxi 214122, PR China. Electronic address: karenchenjuan.student@sina.com.
² Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China; School of IoT Engineering, Jiangnan University, Wuxi 214122, PR China. Electronic address: bozhuang@vip.jiangnan.edu.cn.
³ Mechatronics, Embedded Systems and Automation Lab, University of California, Merced, CA 95343, USA. Electronic address: yqchen@ieee.org.
⁴ Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China; School of IoT Engineering, Jiangnan University, Wuxi 214122, PR China.

PMID: 28499463
DOI: 10.1016/j.isatra.2017.04.005

Abstract

This paper is concerned with diffusion control problem of a tempered anomalous diffusion system based on fractional-order PI controllers. The contribution of this paper is to introduce fractional-order PI controllers into the tempered anomalous diffusion system for mobile actuators motion and spraying control. For the proposed control force, convergence analysis of the system described by mobile actuator dynamical equations is presented based on Lyapunov stability arguments. Moreover, a new Centroidal Voronoi Tessellation (CVT) algorithm based on fractional-order PI controllers, henceforth called FOPI-based CVT algorithm, is provided together with a modified simulation platform called Fractional-Order Diffusion Mobile Actuator-Sensor 2-Dimension Fractional-Order Proportional Integral (FO-Diff-MAS2D-FOPI). Finally, extensive numerical simulations for the tempered anomalous diffusion process are presented to verify the effectiveness of our proposed fractional-order PI controllers.

Keywords: FO-Diff-MAS2D-FOPI; FOPI-based CVT alogrithm; Fractional-order PI controller; Tempered anomalous diffusion process.