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轮询通信下基于隶属函数优化的T-S模糊模型预测控制OA

Membership-function-optimized T-S fuzzy model predictive control under round-robin communication

中文摘要英文摘要

本文针对通信带宽受限条件下的Takagi-Sugeno(T-S)模糊系统,研究基于隶属函数依赖的模型预测控制问题.首先,为降低网络负载并提高数据传输可靠性,采用轮询通信协议优化控制器与执行器之间的数据传输机制;在此基础上,结合令牌依赖的二次函数和前件变量空间划分方法,构建了一种分段切换的T-S模糊模型.其次,基于令牌依赖的分段李雅普诺夫函数理论,设计了隶属函数-令牌联合依赖的终端约束集,并将其嵌入在线优化问题中以求解反馈增益矩阵.此外,通过阶梯隶属函数逼近连续隶属函数,并引入基于隶属函数形状信息的线性矩阵不等式约束,在兼顾T-S模糊系统非线性特性与轮询通信协议特点的前提下,推导出保证系统渐近稳定性与算法递归可行性的充分条件.最后,通过仿真实验验证了所提出的轮询通信协议下隶属函数依赖T-S模糊预测控制策略的有效性.

This paper investigates the membership-function-dependent model predictive control problem for Takagi-Sugeno(T-S)fuzzy systems under communication bandwidth constraints.Firstly,a round robin protocol is adopted to op-timize the data transmission mechanism between controllers and actuators,thereby reducing network load and improving data transmission reliability.Building upon this framework,a piecewise switched T-S fuzzy model is constructed by inte-grating token-dependent quadratic functions with premise variable space partitioning.Secondly,based on token-dependent piecewise Lyapunov function theory,a membership-function-token co-dependent terminal constraint set is designed and embedded into the online optimization problem to solve for feedback gain.Furthermore,continuous membership functions are approximated using staircase membership functions,while linear matrix inequality constraints incorporating shape in-formation of membership functions are introduced.Under the joint consideration of T-S fuzzy system nonlinearities and round robin protocol characteristics,sufficient conditions are derived to guarantee both asymptotic stability of the sys-tem and recursive feasibility of the algorithm.Finally,simulation experiments validate the effectiveness of the proposed membership-function-dependent T-S fuzzy predictive control strategy under round robin protocol.

董钰莹;黄朕荣;高晨曦

华侨大学信息科学与工程学院,福建厦门 361021华侨大学信息科学与工程学院,福建厦门 361021华侨大学信息科学与工程学院,福建厦门 361021

模型预测控制Takagi-Sugeno(T-S)模糊系统轮询通信协议阶梯隶属函数隶属函数-令牌联合依赖分段李雅普诺夫函数

model predictive controlTakagi-Sugeno(T-S)fuzzy systemsround robin protocolstaircase membership functionsmembership function-token joint dependentpiecewise Lyapunov function

《控制理论与应用》 2026 (5)

979-988,10

国家自然科学基金项目(62403204),福建省自然科学基金项目(2023J0545)资助.Supported by the National Natural Science Foundation of China(62403204)and the Natural Science Foundation of Fujian Province(2023J0545).

10.7641/CTA.2025.50302

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