广东工业大学学报 ›› 2013, Vol. 30 ›› Issue (1): 68-72.doi: 10.3969/j.issn.1007-7162.2013.01.012

• 综合研究 • 上一篇    下一篇

T-S模糊随机时滞系统的鲁棒控制

鲁叶,彭世国   

  1. 广东工业大学 自动化学院,广东 广州 510006
  • 收稿日期:2012-05-02 出版日期:2013-03-30 发布日期:2013-03-30
  • 作者简介:鲁叶(1986-),女,硕士研究生,主要研究方向为模糊控制理论.
  • 基金资助:

    广东省自然科学基金资助项目(10151009001000039)

Robust Control of T-S Fuzzy Stochastic System with Time-Delay

Lu Ye,Peng Shi-guo   

  1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2012-05-02 Online:2013-03-30 Published:2013-03-30

摘要: 基于T-S模糊模型讨论具有参数不确定性和变时滞的随机非线性系统的时滞相关鲁棒控制器设计问题.基于Lyapunov稳定性理论、Schur补引理、Jensen积分不等式和自由权矩阵方法以及Ito公式,利用并行分布补偿(PDC)法,以线性矩阵不等式(LMI)的形式给出控制器存在的充分条件,以保证对所允许的不确定性,当LMIs可行时即可构造出相应的状态反馈控制律.最后,给出数值算例验证所提出方法的有效性.

关键词: 模糊随机系统;鲁棒控制;并行分布补偿法;线性矩阵不等式;时滞相关

Abstract: Based on the T-S model, it researches the problem with delay-dependent robust fuzzy control for stochastic nonlinear systems with parameter uncertainty and timevarying delay. According to theories and approaches of Lyapunov stability, Schur complement lemma,Jensen integral inequality and free weighting matrices and Ito formula, the system controller was designed for all admissible uncertainties by using the PDC method. When the LMIs were feasible, the desired state feedback controller could be constructed. Finally, the numerical example was given to demonstrate the effectiveness of the method.

Key words: fuzzy-stochastic system; robust control; parallel distributed compensation(PDC); linear matrix inequality(LMI); delay-dependent conditions

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