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

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      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.

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      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.
      Journal
      ISA Trans
      ISA transactions
      Elsevier BV
      1879-2022
      0019-0578
      May 09 2017
      28499463 S0019-0578(17)30376-2 10.1016/j.isatra.2017.04.005

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