T-S模糊系统的非脆弱记忆采样控制  

Non-Fragile Memory Sampling Control for T-S Fuzzy Systems

作　　者：徐亚楠[1] 张佳楠 XU Yanan;ZHANG Jianan(Institute of Technology,Tieling Normal College,Tieling,Liaoning 112000,China;School of Science,Yanshan University,Qinhuangdao,Hebei 066004,China)

机构地区：[1]铁岭师范高等专科学校理学院,辽宁铁岭112000 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《保定学院学报》2025年第2期103-115,共13页Journal of Baoding University

摘　　要：利用非脆弱记忆采样控制方法,研究了具有时变时滞和外部扰动的T-S模糊系统的严格(Λ1,Λ2,Λ3)-γ耗散指数稳定性问题.首先,针对采样数据控制,设计了一种新的异步模型来解决前提变量不匹配,使模糊采样数据控制器与T-S模糊系统共享模糊对象的前提变量.同时,为了更好地描述控制器增益的波动变化情况,考虑了一种包含增益不确定性的非脆弱记忆采样控制器.其次,构造了一种改进的时滞相关的Lyapunov-Krasovskii函数,并涵盖系统和控制器的采样数据信息及特点.通过积分不等式和线性矩阵不等式的方法,得到了一些降低结果保守性的充分条件,以保证T-S模糊系统是严格(Λ1,Λ2,Λ3)-γ耗散指数稳定的.最后,通过卡车拖车控制模型说明该结果的优越性和有效性.In this paper,the strict(Λ1,Λ2,Λ3)-γ-dissipative exponential stability of Takagi-Sugeno(T-S)fuzzy systems with time-varying delays and external disturbances is studied by using the non-fragile memory sampled-data control method.T-S fuzzy model is a typical fuzzy model of complex dynamic system.It can not only combine mathematical theory with fuzzy logic theory to accurately approximate nonlinear systems,but also make full use of linear system theory and its advantages.Firstly,a new asynchronous model is designed to deal with the mismatch of the premise variables for sampled-data control,so that the fuzzy sampled-data controller shares the premise variable of the fuzzy plant with the T-S fuzzy system.Meanwhile,due to the inevitable uncertainty in the controller implementation process,the small or even weak drift and motion of the designed controller in the parameter implementation process may affect the stability of the closed-loop system and reduce the performance of the system.In order to better solve the issue,a non-fragile memory sampled-data controller with gain uncertainties is considered.Besides,considering that the past state information of the system is not introduced,the system applicable to the controller based on the memoryless sampling mechanism is very limited.In response to this problem,non-fragile memory sampling control has attracted wide attention.Furthermore,an improved delay-dependent Lyapunov-Krasovskii function is constructed,which covers the sampled-data information and characteristics of the system and controller.By means of integral inequality and linear matrix inequality,some sufficient conditions are obtained to reduce the conservatism of the results,so as to ensure that the T-S fuzzy system is strictly(Λ1,Λ2,Λ3)-γ-dissipative exponentially stable.In the end,a practical example of truck trailer model is used to illustrate the superiority and effectiveness of the results.

关 键 词：T-S模糊系统 记忆采样控制 非脆弱控制 指数耗散稳定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]