一类离散模糊双线性切换系统的<i>H</i><sub>∞</sub>控制

毛北行; 周长芹; 卜春霞

doi:10.3969/j.issn.2095-476X.2012.05.025

CN 41-1437/TS ISSN 2096-1553

一类离散模糊双线性切换系统的H_∞控制

毛北行 , 周长芹 , 卜春霞

毛北行, 周长芹, 卜春霞. 一类离散模糊双线性切换系统的H∞控制[J]. 轻工学报, 2012, 27(5): 103-106. doi: 10.3969/j.issn.2095-476X.2012.05.025

引用本文: 毛北行, 周长芹, 卜春霞. 一类离散模糊双线性切换系统的H∞控制[J]. 轻工学报, 2012, 27(5): 103-106. doi: 10.3969/j.issn.2095-476X.2012.05.025

MAO Bei-xing, ZHOU Chang-qin and BU Chun-xia. The H∞ control for discrete-time fuzzy bilinear switched system[J]. Journal of Light Industry, 2012, 27(5): 103-106. doi: 10.3969/j.issn.2095-476X.2012.05.025

Citation: MAO Bei-xing, ZHOU Chang-qin and BU Chun-xia. The H∞ control for discrete-time fuzzy bilinear switched system[J]. Journal of Light Industry, 2012, 27(5): 103-106. doi: 10.3969/j.issn.2095-476X.2012.05.025

一类离散模糊双线性切换系统的H_∞控制

郑州航空工业管理学院数理系, 河南郑州 450015;
郑州大学数学系, 河南郑州 450001
基金项目: 郑州航空工业管理学院青年基金项目(2012113004)
国家自然科学基金项目(51072184)
中图分类号: TP13

The H_∞ control for discrete-time fuzzy bilinear switched system

Dept. of Mathe. and Phy., Zhengzhou Inst. of Aeronautical Ind. Manage., Zhengzhou 450015, China;
Dept. of Mathe., Zhengzhou Univ., Zhengzhou 450001, China
Received Date: 2012-03-18
Available Online: 2012-09-15
CLC number: TP13

摘要: 研究了一类基于T-S模型的离散模糊双线性切换系统的H_∞控制问题:通过Lyapunov函数得到系统稳定的条件和切换律设计方案,并把最终结果转化为线性矩阵不等式.通过数值算例说明了该方法的有效性.
- 离散模糊双线性切换系统 /
- H_∞控制 /
- 线性矩阵不等式
Abstract: The H_∞ control problem of a kind of discrete-time fuzzy bilinear switched systems based on T-S model was studied.The stable condition and switching laws design method were concluded based on Lyapunov function.The conclusion was given in linear matrix inequality.The method validity was testified through numerical example.
- discrete-time fuzzy bilinear switched system /
- the H_∞ control /
- linear matrix inequality
1. [1]
  Souza F O,Mozelli L A,Palhares R M.On stability and stabilization of T-S fuzzy time-delay systems[J].IEEE Trans Fuzzy Syst,2009,17(6):1450.
2. [2]
  Tsai S H,Li T H S.Robust fuzzy control of a class fuzzy bilinear systems with time-delay[J].Chaos Solitons and Fractals,2009,39(15):2028.
3. [3]
  毛北行,喻军,孟晓玲,等.一类切换模糊时滞系统的H_∞鲁棒控制[J].河南科学,2011,29(5):508.
4. [4]
  王建军,毛北行,卜春霞.一类时滞离散模糊切换系统的H_∞控制[J].河南科学,2011,29(3):256.
5. [5]
  Li T H S,Tsai S H.T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems[J].IEEE Trans Fuzzy Syst,2007,15(3):494.
6. [6]
  Peng Chen,Yue Dong,Yang Taicheng,et al.On delay-dependent approach for robust stability and stabilization of T-S fuzzy systems with constant delay and uncertainties[J].IEEE Trans on Fuzzy Syst,2009,17(5):1143.
1. [1]
  卢晓波 , 徐海 , 朱俊召 , 张宇 , 谭健 , 高冠男 , 胡军华 , 林龙 . 基于机器视觉的加热卷烟烟支端部质量检测系统设计. 轻工学报, 2024, 0(0): -.