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首页> 外文期刊>Circuits, systems and signal processing >Robust H_ ∞ Control of a Class of Switching Nonlinear Systems with Time-Varying Delay Via T-S Fuzzy Model
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Robust H_ ∞ Control of a Class of Switching Nonlinear Systems with Time-Varying Delay Via T-S Fuzzy Model

机译:基于T-S模糊模型的一类时变时滞非线性切换系统的鲁棒H_∞控制

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摘要

This paper considers H_∞ control of a class of switching nonlinear systems with time-varying delays via T-S fuzzy model based on piecewise fuzzy weighting-dependent Lyapunov-Krasovskii functionals (PFLKFs). The systems are switching among several nonlinear systems. The Takagi and Sugeno (T-S) fuzzy model is employed to approximate the sub-nonlinear dynamic systems. Thus, with two level functions, namely, crisp switching functions and local fuzzy weighting functions, we introduce a continuous-time switched fuzzy systems, which inherently contain the features of the switched hybrid systems and T-S fuzzy systems. Average dwell-time approach and PFLKFs methods are utilized for the stability analysis and controller design, and with free fuzzy weighting matrix scheme. Switching and control laws are obtained such that the H_∞ performance is satisfied. The conditions of stability and the control laws are given in the form of LMIs which can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. A numerical example and the control of an uncertain radio-controlled (R/C) hovercraft with time-varying delay are given to demonstrate the efficiency of the proposed method.
机译:本文基于分段模糊加权相关的Lyapunov-Krasovskii泛函(PFLKFs),通过T-S模糊模型考虑一类时滞时滞非线性切换系统的H_∞控制。这些系统正在几个非线性系统之间切换。 Takagi和Sugeno(T-S)模糊模型用于近似亚非线性动力系统。因此,通过两个级别的函数,即明快切换函数和局部模糊加权函数,我们引入了一个连续时间切换模糊系统,该系统固有地包含了切换混合系统和T-S模糊系统的特征。平均停留时间方法和PFLKFs方法用于稳定性分析和控制器设计,并带有自由模糊加权矩阵方案。获得切换和控制定律,从而满足H_∞性能。稳定性条件和控制律以LMI的形式给出,可以通过求解一组数值上可行的线性矩阵不等式(LMI)获得。通过数值算例和一台不确定的具有时变时滞的无线电遥控气垫船的控制,证明了该方法的有效性。

著录项

  • 来源
    《Circuits, systems and signal processing》 |2014年第5期|1411-1437|共27页
  • 作者单位

    College of Information Engineering, Chengdu University of Technology, Chengdu 610059, P.R. China;

    Centre for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, P.R. China;

    Centre for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, P.R. China;

    Centre for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, P.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

    Switching fuzzy systems; Time-varying delay; Robust H_ ∞ control; PFLKFs;

    机译:切换模糊系统;时变延迟;强大的H_∞控制;聚醚砜;

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