吉林大学学报(信息科学版) ›› 2025, Vol. 43 ›› Issue (3): 547-556.

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具有双端量化的T-S模糊系统混合触发H控制

李艳辉a,b, 仲崇小   

  1. 东北石油大学a. 环渤海能源研究院,河北秦皇岛066004;b. 电气信息工程学院,黑龙江大庆163318
  • 收稿日期:2024-03-20 出版日期:2025-06-19 发布日期:2025-06-19
  • 作者简介:李艳辉(1970— ), 女, 辽宁法库人, 东北石油大学教授, 博士生导师, 主要从事鲁棒控制及滤波、 智能控制等研究, (Tel)86-459-6504797(E-mail)LY_hui@ hotmail. com。
  • 基金资助:
    河北省自然科学基金资助项目(F2023107002) 

Hybrid-Triggered H Control for T-S Fuzzy Systems with Two-Terminal Quantization

LI Yanhuia,b, ZHONG Chongxiaob   

  1. a. Bohai Rim Energy Research Institute, Northeast Petroleum University, Qinhuangdao 066004, China; b. School of Electrical and Information Engineering, Northeast Petroleum University, Daqing 163318, China
  • Received:2024-03-20 Online:2025-06-19 Published:2025-06-19

摘要: 针对一类具有时变时滞和量化误差的不确定网络化随机T-S(Takagi-Sugeno)模糊系统, 研究考虑双端量 化的混合触发鲁棒H∞ 控制问题。 首先,为减轻网络通信负担,设计混合触发方案减少数据传输。 考虑在传感 器端和执行器端分别构建静态对数量化器量化采样信号和控制信号并考虑量化误差以提高系统的控制精度, 在混合触发机制下重新建立网络化随机T-S模糊模型并深入刻画网络诱导延迟、不确定性和量化误差等网络 随机诱导现象。 其次,选取时滞依赖和模糊基依赖的Lyapunov函数,引入自由权矩阵,推导出使双端量化模糊 系统渐近稳定的充分条件,并将能量有界的噪声信号对输出的影响抑制在H∞ 性能指标γ下。 仿真实验表明, 所提方案可以有效减少数据传输,提高系统控制精度,并且相较于传统方法降低了设计的保守性。

关键词: 网络化随机系统, T-S模糊模型, 混合触发方案, 双端量化, 模糊基依赖

Abstract: For a class of uncertain networked stochastic T-S(Takagi-Sugeno) fuzzy systems with time-varying delay, quantization error, the problem of hybrid-triggered robust H∞ control system with two-terminal quantization is studied. Firstly, in order to alleviate the burden of networked communication, a hybrid-triggered scheme is adopted to reduce data transmission. The construction of quantizers at the sensor side and the actuator side is stadied to quantify the sampling and control signal respectively, and the quantization error is considered to improve the control accuracy of the system. By taking the effect of network-induced delay, uncertainty and quantization error are taken into consideration, the T-S fuzzy systems based on the hybrid-triggered mechanism is remodeled. Secondly, by selecting the delay-dependent and fuzzy basis-dependent Lyapunov function, and introducing the free weight matrix, the sufficient conditions for the double-terminal quantized fuzzy system are satisfied, and the influence of energy bounded noise signals on the output is suppressed under the H∞ performance index γ. Finally, the simulation proves that the proposed scheme can reduce data transmission effectively, improve the system control accuracy, and reduce the conservatism of design. 

Key words: networked stochastic systems, takagi-sugeno(T-S) fuzzy model, hybrid-triggered scheme, two- terminal quantization, fuzzy basis-dependent

中图分类号: 

  • TP273