多阶段间歇过程鲁棒模糊预测异步切换控制  

Robust fuzzy predictive asynchronous switching control for multi-phase batch processes

作　　者：彭博 施惠元[1,2] 苏成利 李平[1,2,3] PENG Bo;SHI Hui-yuan;SU Cheng-li;LI Ping(School of Information and Control Engineering,Liaoning Petrochemical University,Fushun Liaoning 113001,China;School of Automation,Northwestern Polytechnical University,Xi’an Shaanxi 710072,China;School of Electronic and Information Engineering,University of Science and Technology,Anshan Liaoning 114051,China)

机构地区：[1]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001 [2]西北工业大学自动化学院,陕西西安710072 [3]辽宁科技大学电子与信息工程学院,辽宁鞍山114051

出　　处：《控制理论与应用》2022年第1期91-100,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(61803191,61703191);辽宁省自然科学基金项目(2019–KF–03–05);高等学校创新人才支持计划项目(LR2019037);辽宁石油化工大学引进人才科研启动基金(2021XJJL–009)资助.

摘　　要：本文针对非线性多阶段间歇过程在切换瞬间存在异步切换的问题,提出了一种鲁棒模糊预测异步切换控制方法.该方法将非线性多阶段间歇过程表示为同步子系统和异步子系统的等效闭环扩展Takagi-Sugeno模糊模型,在此基础上给出了确保每个批次指数稳定和每个阶段渐近稳定的,基于线性矩阵不等式的稳定性条件以及不同情况运行时间的计算方法.根据运行时间采用超前切换思想,避免异步切换情况的出现,保证系统的稳定运行.仿真案例表明所设计的控制器是有效的和可行的.Aiming at the problem of asynchronous switching at the moment of switching in a nonlinear multi-phase batch process,a robust fuzzy predictive asynchronous switching control method is proposed.This method expresses the nonlinear multi-phase batch process as an equivalent closed-loop extended Takagi-Sugeno fuzzy model including the synchronization subsystem and the asynchronous subsystem.On this basis,the stability conditions based on linear matrix inequality and the calculation method of running time under different conditions are given to ensure the exponential stability of each batch and the asymptotic stability of each phase.According to the running time,the advanced switching concept is adopted to avoid the occurrence of asynchronous switching and ensure the stable operation of the system.The simulation case shows that the designed controller is effective and feasible.

关 键 词：多阶段间歇过程 鲁棒模糊预测控制 异步切换控制 线性矩阵不等式 平均驻留时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]