摄动模糊时滞大系统的模糊控制设计

Rong-Jyue Wang, Wen-June Wang
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引用次数: 17

摘要

本文用等价的Takagi-Sugeno型模糊模型来描述具有时滞的摄动连续大系统。本文研究了状态反馈分散模糊控制器。基于Lyapunov准则和Razumikhin定理,导出了整个摄动模糊时滞系统渐近稳定的充分条件。此外,如果每个子系统的所有互连矩阵A/sub ij//sup /和时延/spl tau//sub ij//sup /(t)对于所有规则都是相同的,我们将提出一个更简单和更少保守的判据。这些准则不需要Lyapunov方程或Riccati方程的解。所谓的“匹配条件”的互连矩阵和摄动是不需要的。
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Fuzzy control design for perturbed fuzzy time-delay large-scale systems
In this paper, the perturbed continuous-time large-scale system with time-delay is represented by an equivalent Takagi-Sugeno type fuzzy model. The state feedback decentralized fuzzy controller is considered in this paper. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived to stabilize the whole perturbed fuzzy time-delay system asymptotically. Moreover, if all the interconnection matrices A/sub ij//sup l/ and time-delays /spl tau//sub ij//sup l/(t) of each subsystem are the same for all rules, we shall propose a simpler and less conservative criterion. These criteria do not need the solution of a Lyapunov equation or Riccati equation. The so-called "matching condition" for the interconnection matrices and perturbations are not needed.
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