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.
Mechatronics, Embedded Systems and Automation Lab, University of California, Merced, CA 95343, USA.
ISA Trans. 2018 Nov;82:94-106. doi: 10.1016/j.isatra.2017.04.005. Epub 2017 May 9.
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.
本文研究了基于分数阶 PI 控制器的 tempered 异常扩散系统的扩散控制问题。本文的贡献在于将分数阶 PI 控制器引入到用于移动执行器运动和喷涂控制的 tempered 异常扩散系统中。针对所提出的控制力，基于 Lyapunov 稳定性理论，对移动执行器动力学方程描述的系统进行了收敛性分析。此外，还提供了一种基于分数阶 PI 控制器的新型质心 Voronoi 细分（CVT）算法，此后称为基于分数阶 PI 控制器的 CVT 算法，以及一个名为分数阶扩散移动执行器-传感器二维分数阶比例积分（FO-Diff-MAS2D-FOPI）的修改后的仿真平台。最后，通过大量数值模拟验证了所提出的分数阶 PI 控制器对 tempered 异常扩散过程的有效性。
