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H_∞ fuzzy control for nonlinear time-delay singular Markovian jump systems with partly unknown transition rates

机译：过渡时间部分未知的非线性时滞奇异Markovian跳跃系统的H_∞模糊控制

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摘要

This paper investigates the problem of H_∞ fuzzy control for a class of nonlinear time-delay singular Markovian jump systems with partly unknown transition rates. This class of systems under consideration is described by Takagi-Sugeno (T-S) fuzzy model. The goal of the paper is to design fuzzy state-feedback controllers such that systems with partly unknown transition rates are not only regular, impulse-free and stochastically stable, but also satisfy a prescribed H_∞ performance for all delays no larger than a given upper bound in terms of linear matrix inequalities. And systems with completely known transition rates can be viewed as a special case of the one we consider here. Finally numerical examples are given to illustrate the merit and usability of the approach proposed in this paper.
机译：研究了一类具有部分未知跃迁速率的非线性时滞奇异马尔可夫跳跃系统的H_∞模糊控制问题。 Takagi-Sugeno（T-S）模糊模型描述了正在考虑的此类系统。本文的目的是设计模糊状态反馈控制器，以使具有部分未知转换率的系统不仅规则，无脉冲且随机稳定，而且对于不大于给定上限的所有延迟都满足规定的H_∞性能。用线性矩阵不等式约束具有完全已知的转换速率的系统可以看作是我们在此考虑的一种特殊情况。最后通过数值例子说明了本文提出的方法的优点和实用性。

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  • 来源
    《Fuzzy sets and systems》 |2014年第1期|106-125|共20页
  • 作者

    Li Li; Qingling Zhang; Baoyan Zhu;

  • 作者单位

    Institute of Systems Science, Northeastern University, Shenyang, Liaoning Province, 110819, PR China,College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning Province, 121013, PR China;

    Institute of Systems Science, Northeastern University, Shenyang, Liaoning Province, 110819, PR China;

    College of Science, Shenyang Jianzhu University, Shenyang, Liaoning Province, 110168, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fuzzy control; H_∞ control; Stochastic admissibility; Singular Markovian jump systems; Takagi-Sugeno fuzzy model;

    机译：模糊控制;H_∞控制;随机可接纳性;奇异的马尔可夫跳跃系统;Takagi-Sugeno模糊模型;

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