基于T-S模糊时滞系统的记忆反馈控制与分析  

Memory Feedback Control and Analysis Based on T-S Fuzzy Time-lag System

作　　者：唐鹏奕 TANG Peng-yi(Huaihua University,Huaihua,Hunan 418008)

机构地区：[1]怀化学院,湖南怀化418008

出　　处：《怀化学院学报》2023年第5期45-49,共5页Journal of Huaihua University

基　　金：怀化学院科研项目“基于T-S模糊随机系统的耗散性能分析和量化滑膜控制器设计”(HHUY2021-06);湖南省教育厅科研基金项目“T-S模糊系统的量化采样容错控制”(21C0640)。

摘　　要：T-S模糊控制可以将严格的数学理论与线性系统的适用性相结合,因此其可以有效地解决实际工程系统中被控制对象受到的非线性、时间延迟、不确定性扰动等问题。首先T-S模糊时滞系统的稳定性问题可以通过构建一个Lyapunov函数,再结合Jensen不等式的放缩方法和线性矩阵不等式(Linear Matrix Inequality,LMI)技术有效地解决;其次,充分条件提供了适当的控制器增益,使得时滞系统保持稳定;最后,根据卡车拖车模型的计算机仿真实验结果可以充分说明该技术的可行性和有效性。T-S fuzzy control can combine strict mathematical theory with the applicability of linear systems,so it can effectively solve the problems of nonlinearity,time lag,uncertainty perturbation of the subject object in the actual engineering system.In this paper,a Lyapunov function is constructed for a class of T-S fuzzy time-lag systems,which can effectively solve the stability problem of the system by combining the scaling method of the Jensen inequality and the linear matrix inequality(LMI)technique.Secondly,this paper obtains a sufficient set of conditions that provide the appropriate controller gain so that the time lag system remains stable.Finally,the classical truck trailer model is used for computer simulation experiments,and the feasibility and effectiveness of the technology can be fully explained according to the experimental results.

关 键 词：T-S模糊系统 记忆反馈控制 时滞 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]