连续搅拌反应釜的固定时间命令滤波跟踪控制  

Fixed-time command filter tracking control of continuous stirred tank reactor

作　　者：刘凯 辛丽平 刘家硕 张静 LIU Kai;XIN Li-ping;LIU Jia-shuo;ZHANG Jing(School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266500,China)

机构地区：[1]青岛理工大学信息与控制工程学院,山东青岛266500

出　　处：《控制与决策》2024年第6期1936-1942,共7页Control and Decision

基　　金：山东省自然科学基金项目(ZR2021MF076,ZR2016FB04);国家自然科学基金项目(201606141);山东省重点研发项目(2018GHY115025);中国博士后基金面上项目(2018M642611)。

摘　　要：针对一类连续搅拌反应釜系统的跟踪控制问题,提出一种基于反步法和模糊逻辑系统的自适应固定时间命令滤波控制方法.利用命令滤波器引入误差补偿机制消除滤波误差的影响,并解决反步法虚拟控制信号重复求导的问题;采用模糊逻辑系统对系统中存在的非线性部分进行逼近;利用固定时间控制方法使系统跟踪误差更迅速收敛至较小邻域内,且收敛时间不依赖系统初始状态;通过Lyapunov定理证明连续搅拌反应釜系统的闭环稳定性;利用Matlab/Simulink仿真实验验证所提出控制方法的有效性.与现有控制方法相比,该控制方法具有控制器结构简单、收敛速度快、控制精度高、无超调等优点.This paper proposes an adaptive fixed-time command filtering control methods based on backstepping method and fuzzy logic systems for a class of continuous stirred tank reactor systems.The repeated derivation of virtual control signal caused by backstepping is solved by the command filter technology,and the filtering error is eliminated by introducing error compensation mechanism.The nonlinear function of the system is approximated using a fuzzy logic system.Based on the fixed-time control method,the speed of convergence is faster,and the convergence time does not depend on the initial state of the system.The closed-loop stability of the continuous stirred tank reactor system is proved using the Lyapunov theorem.The effectiveness of the proposed control method is verified by Matlab/Simulink simulation experiments.Compared with the existing control methods,the proposed control method has the advantages of simple controller structure,fast convergence speed,high control accuracy and no overshoot.

关 键 词：连续搅拌反应釜 固定时间控制 模糊逻辑系统 命令滤波 反步法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]