东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (6): 761-765.DOI: 10.12068/j.issn.1005-3026.2016.06.001

• 信息与控制 •    下一篇

混合时变时滞多机系统气门开度的模糊H∞控制器设计

刘鑫蕊， 杨东升， 刘爽， 侯欣明   

  1. (东北大学 信息科学与工程学院， 辽宁 沈阳110819)
  • 收稿日期:2015-01-23 修回日期:2015-01-23 出版日期:2016-06-15 发布日期:2016-06-08
  • 通讯作者: 刘鑫蕊
  • 作者简介:刘鑫蕊(1981-)，女，辽宁沈阳人，东北大学讲师，博士; 杨东升(1977-)，男，辽宁抚顺人，东北大学教授，博士.
  • 基金资助:
    国家自然科学基金资助项目(61203026)； 中央高校基本科研业务费专项资金资助项目(N140404003).

Fuzzy H∞ Controllers Design Approach for Steam Valve Opening of Multi-machine Power Systems with Mixed Time-Varying Delays

LIU Xin-rui， YANG Dong-sheng， LIU Shuang， HOU Xin-ming   

  1. School of Information Science & Engineering， Northeastern University， Shenyang 110819， China.
  • Received:2015-01-23 Revised:2015-01-23 Online:2016-06-15 Published:2016-06-08
  • Contact: LIU Xin-rui
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摘要： 研究了带有混合时变时滞的多机电力系统的气门开度模糊H○∞控制器设计问题，混合时变时滞包括区间时滞、中立型时滞和分布时滞，通过建立模糊模型并设计系统的模糊控制器，基于线性矩阵不等式(LMIs)给出了系统满足H○∞性能指标的稳定性条件. 同时，将结论推广到时滞的不同情况，包括带有快时变分布时滞(即分布时滞的导数大于1)的H○∞稳定条件，所得结果减少了保守性.最后，针对三机无穷大母线的气门开度控制系统建立模糊H○∞控制器，验证了所提出方法的有效性.

关键词: 混合时变时滞, 多机电力系统, 模糊控制, LMI, H∞性能

Abstract: The fuzzy H○∞ controller design problem was studied for steam valve opening of multi-machine power systems which consisting of turbo-generators with mixed time-varying delays. The mixed time-varying delays include the interval retarded-type discrete delay， the neutral-type discrete delay and the time-varying distributed delays. Fuzzy models were established， and the controllers of the systems were designed. Linear matrix inequalities (LMIs)-based H○∞ stability conditions were derived. Moreover， the results were expanded to different conditions of time-delay， including H∞ stability condition with the fast time-varying distributed delays (i.e. the derivatives of distributed delay is larger than 1). Therefore， the obtained results are new and less conservative. Finally， simulation results for the steam value opening of three-machine infinite bus systems were provided to verify the effectiveness of the proposed results.

Key words: mixed time-varying delay, multi-machine power systems, fuzzy control, LMI, H○∞ performance

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