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T-S模糊控制综述与展望

肖建,  赵涛

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肖建, 赵涛. T-S模糊控制综述与展望[J]. 西南交通大学学报, 2016, 29(3): 462-474. doi: 10.3969/j.issn.0258-2724.2016.03.006
引用本文: 肖建, 赵涛. T-S模糊控制综述与展望[J]. 西南交通大学学报, 2016, 29(3): 462-474. doi: 10.3969/j.issn.0258-2724.2016.03.006
shu
XIAO Jian, ZHAO Tao. Overview and Prospect of T-S Fuzzy Control[J]. Journal of Southwest Jiaotong University, 2016, 29(3): 462-474. doi: 10.3969/j.issn.0258-2724.2016.03.006
Citation: XIAO Jian, ZHAO Tao. Overview and Prospect of T-S Fuzzy Control[J]. Journal of Southwest Jiaotong University, 2016, 29(3): 462-474. doi: 10.3969/j.issn.0258-2724.2016.03.006
shu

T-S模糊控制综述与展望

doi: 10.3969/j.issn.0258-2724.2016.03.006
基金项目: 

国家自然科学基金资助项目(51177137, 61134001, 51477146)

四川省科技厅应用基础研究项目(2016JY0085)

详细信息
    作者简介:

    肖建(1950-),教授,博士,博士生导师,1989年起至今任职于西南交通大学电气工程学院.研究方向为智能控制、切换系统、计算机控制系统、电力机车粘着控制.承担国家自然科学基金项目、中奥国际合作项目和企业委托课题30余项;1993年起享受政府特殊津贴.兼任四川省自动化与仪器仪表学会理事长、中国仪器仪表学会理事. E-mail:jxiao@swjtu.edu.cn;赵涛(1988-),副研究员,博士, 2015年起至今任职于四川大学电气信息学院.研究方向为二型模糊系统、时滞系统、网络控制系统.主持四川大学引进人才科研启动经费项目1项;主研多项国家自然科学基金项目.担任10多个SCI检索期刊的审稿人. E-mail:zhaotaozhaogang@126.com

    肖建(1950-),教授,博士,博士生导师,1989年起至今任职于西南交通大学电气工程学院.研究方向为智能控制、切换系统、计算机控制系统、电力机车粘着控制.承担国家自然科学基金项目、中奥国际合作项目和企业委托课题30余项;1993年起享受政府特殊津贴.兼任四川省自动化与仪器仪表学会理事长、中国仪器仪表学会理事. E-mail:jxiao@swjtu.edu.cn;赵涛(1988-),副研究员,博士, 2015年起至今任职于四川大学电气信息学院.研究方向为二型模糊系统、时滞系统、网络控制系统.主持四川大学引进人才科研启动经费项目1项;主研多项国家自然科学基金项目.担任10多个SCI检索期刊的审稿人. E-mail:zhaotaozhaogang@126.com

Overview and Prospect of T-S Fuzzy Control

    摘要
  • 摘要: T-S模糊控制可以处理复杂非线性系统,并已成功地应用于许多工业领域.分别从模型建立、稳定性分析、控制器设计等方面,概述了一型T-S模糊控制和区间二型T-S模糊控制的研究现状,对一型T-S模糊系统、一型T-S模糊多项式系统及区间二型T-S模糊系统分析和设计中的保守性问题进行了全面的分析.探讨了松弛变量法、参数依赖李雅普诺夫法、隶属函数形状依赖法的原理,及其在降低模糊反馈控制器保守性方面的应用.对一型T-S模糊系统的建模、区间二型T-S模糊系统的参数依赖李雅普诺夫设计法等进行了展望.一型T-S模糊多项式系统的输出反馈控制、区间二型T-S模糊时滞系统、区间二型T-S模糊系统的鲁棒控制和模型化简,以及利用硬件实现相关算法,并将提出的方法应用到工程实际,是T-S模糊控制未来的研究方向.

     

    Abstract: T-S fuzzy control can deal with complicated nonlinear systems, and has been successfully applied to a lot of industrial fields. From the aspects of modeling, stability analysis, and controller design, the current research status of the type-1 T-S fuzzy control and the interval type-2 T-S fuzzy control are reviewed, with an overall elaboration on the conservativeness issue in analysis and design of type-1 T-S fuzzy systems, type-1 T-S fuzzy polynomial systems, and interval type-2 T-S fuzzy systems. A discussion is also made on the principles of the slack variable approach, the parameter dependent Lyapunov function approach and the membership-function-shape-dependent approach, as well as their applications to reduce conservativeness of the fuzzy feedback controller. In addition, from the aspects of modeling of type-1 T-S fuzzy systems and the parameter dependent Lyapunov function design approach of interval type-2 T-S fuzzy systems, prospects on the T-S fuzzy control are described. The further research directions may include the output feedback control of type-1 T-S fuzzy polynomial systems, the interval type-2 T-S fuzzy systems with time-delays, the robust control and model reduction of interval type-2 T-S fuzzy systems, and the hardware implementation and engineering applications of the proposed approaches.

     

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  • 收稿日期:  2015-10-15
  • 刊出日期:  2016-04-25

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