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Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems

机译：具有不稳定子系统的不确定切换非线性系统的自适应模糊跟踪控制。

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摘要

This paper is concerned with the problem of adaptive fuzzy tracking control for a class of switched uncertain nonlinear systems where the solvability of the fuzzy tracking control problem for subsystems is unnecessary. Fuzzy logic systems are utilized to approximate the unknown nonlinear functions, and a new adaptive fuzzy tracking control technique for the problem under study is set up. Based on the technique above, we design a switching law and construct adaptive fuzzy controllers of subsystems explicitly by a recursive design algorithm to guarantee that all the signals in the resulting closed-loop system remain bounded and the system output of the closed-loop system converges to a small neighborhood of the reference signal. Multiple Lyapunov functions are exploited to get out of the conservativeness caused by adoption of a common Lyapunov function for all subsystems, which is commonly required when applying the backstepping-like recursive design scheme. A mass-spring-damper system is provided to demonstrate the effectiveness of the proposed design method. (C) 2015 Elsevier B.V. All rights reserved.
机译：本文关注一类不确定非线性切换不确定系统的自适应模糊跟踪控制问题，该子系统不需要求解模糊跟踪控制问题。利用模糊逻辑系统对未知的非线性函数进行逼近，为研究中的问题建立了一种新的自适应模糊跟踪控制技术。基于上述技术，我们设计了一种切换律，并通过递归设计算法显式构造了子系统的自适应模糊控制器，以确保所得闭环系统中的所有信号均保持有界且闭环系统的系统输出收敛到参考信号的一小部分。利用多个Lyapunov函数可以避免由于对所有子系统采用通用Lyapunov函数而导致的保守性，这在应用类似Backstepping的递归设计方案时通常是必需的。提供了一种质量弹簧阻尼器系统，以证明所提出的设计方法的有效性。 （C）2015 Elsevier B.V.保留所有权利。

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  • 来源
    《Fuzzy sets and systems》 |2015年第15期|49-67|共19页
  • 作者

    Long Lijun; Zhao Jun;

  • 作者单位

    Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China|Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China;

    Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China|Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R 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

    Adaptive fuzzy control; Output tracking; Switched nonlinear systems; Multiple Lyapunov functions;

    机译：自适应模糊控制;输出跟踪;非线性切换系统;多个李雅普诺夫函数;

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