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Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach

机译:延迟T-s模糊系统的稳定性和稳定性:一种延迟划分方法

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摘要

This paper proposes a new approach, namely, the delay partitioning approach, to solving the problems of stability analysis and stabilization for continuous time-delay Takagi-Sugeno fuzzy systems. Based on the idea of delay fractioning, a new method is proposed for the delay-dependent stability analysis of fuzzy time-delay systems. Due to the instrumental idea of delay partitioning, the proposed stability condition is much less conservative than most of the existing results. The conservatism reduction becomes more obvious with the partitioning getting thinner. Based on this, the problem of stabilization via the so-called parallel distributed compensation scheme is also solved. Both the stability and stabilization results are further extended to time-delay fuzzy systems with time-varying parameter uncertainties. All the results are formulated in the form of linear matrix inequalities (LMIs), which can be readily solved via standard numerical software. The advantage of the results proposed in this paper lies in their reduced conservatism, as shown via detailed illustrative examples. The idea of delay partitioning is well demonstrated to be efficient for conservatism reduction and could be extended to solving other problems related to fuzzy delay systems. © 2009 IEEE.
机译:针对连续时间滞后的Takagi-Sugeno模糊系统的稳定性分析和稳定性问题,本文提出了一种新的方法,即延迟分配方法。基于时延分数的思想,提出了一种模糊时滞系统时滞相关稳定性分析的新方法。由于延迟划分的工具思想,所提出的稳定性条件比大多数现有结果要保守得多。随着分区变薄,保守性降低变得更加明显。基于此,还解决了通过所谓的并行分布式补偿方案的稳定问题。稳定性和稳定结果都进一步扩展到具有时变参数不确定性的时滞模糊系统。所有结果均以线性矩阵不等式(LMI)的形式表示,可以通过标准数值软件轻松解决。本文提出的结果的优势在于其保守性降低,如通过详细的说明性示例所示。延迟分区的思想已被很好地证明对于减少保守性是有效的,并且可以扩展到解决与模糊延迟系统有关的其他问题。 ©2009 IEEE。

著录项

  • 作者

    Zhao Y; Lam J; Du B; Gao H;

  • 作者单位
  • 年度 2009
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  • 原文格式 PDF
  • 正文语种 eng
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