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Adaptive control of discrete-time state-space T-S fuzzy systems with general relative degree

机译：具有一般相对度的离散时间状态空间TS模糊系统的自适应控制

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摘要

This paper develops a new solution framework for adaptive control of general discrete-time single-input single-output (SISO) state-space Takagi-Sugeno (T-S) fuzzy systems with a relative degree p (l≤p≤n). A new procedure is proposed to construct a normal form of a global T-S fuzzy system model from local state-space models in non-canonical form, and such a normal form system has an explicit relative degree structure and a specific input-output signal causality relationship in the sense that it does not include any future values of fuzzy membership functions. An adaptive feedback control scheme is designed based on the global normal form T-S fuzzy model, to ensure desired closed-loop stability and output tracking properties. A comparison is given to adaptive state tracking designs seen in the literature, which require much more restrictive matching conditions and do not take into account the high relative degree cases. As an illustrative example, a T-S fuzzy system is constructed based on the linearized local models of a transport airplane. Simulation results have demonstrated the developed new concepts and verified the desired performance of the new type of adaptive fuzzy control systems.
机译：本文为相对离散度为p（l≤p≤n）的通用离散时间单输入单输出（SISO）状态空间Takagi-Sugeno（T-S）模糊系统自适应控制开发了一种新的解决方案框架。提出了一种以非规范形式从局部状态空间模型构造全局TS模糊系统模型的范式的新方法，该范式系统具有明确的相对度结构和特定的输入输出信号因果关系从某种意义上说，它不包括模糊隶属函数的任何将来值。基于全局范式T-S模糊模型，设计了一种自适应反馈控制方案，以确保所需的闭环稳定性和输出跟踪特性。对文献中看到的自适应状态跟踪设计进行了比较，该设计需要更多限制性的匹配条件，并且没有考虑相对程度较高的情况。作为说明性示例，基于运输飞机的线性局部模型构造了T-S模糊系统。仿真结果证明了开发的新概念并验证了新型自适应模糊控制系统的期望性能。

著录项

  • 来源
    《Fuzzy sets and systems》 |2013年第16期|22-40|共19页
  • 作者

    Ruiyun Qi; Gang Tao; Chang Tan; Xuelian Yao;

  • 作者单位

    College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China;

    Department of Electrical and Computer Engineering, University of Virginia, Charlotlesville, VA, USA;

    College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China;

    College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, 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

    discrete-time model; relative degree; state feedback; T-S fuzzy system;

    机译：离散时间模型相对程度状态反馈;T-S模糊系统;

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