| 引用本文: | 董钰莹,黄朕荣,高晨曦.轮询通信下基于隶属函数优化的T-S模糊模型预测控制[J].控制理论与应用,2026,43(5):979~988.[点击复制] |
| DONG Yu-ying,HUANG Zhen-rong,GAO Chen-xi.Membership-function-optimized T-S fuzzy model predictive control under round-robin communication[J].Control Theory & Applications,2026,43(5):979~988.[点击复制] |
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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 |
| Membership-function-optimized T-S fuzzy model predictive control under round-robin communication |
| 摘要点击 383 全文点击 22 投稿时间：2025-07-17 修订日期：2026-01-19 |
| 查看全文 查看/发表评论 下载PDF阅读器 HTML |
| DOI编号 10.7641/CTA.2025.50302 |
| 2026,43(5):979-988 |
| 中文关键词 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 |
| 英文关键词 model predictive control Takagi-Sugeno (T-S) fuzzy systems round robin protocol staircase membership functions membership function-token joint dependent piecewise Lyapunov function |
| 基金项目 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. |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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 optimize
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 integrating
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 information
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 system
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. |
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