一类单时滞线性系统的模糊变结构控制

刘晓华;刘梦良

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (1) : 83-090.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (1) : 83-090. DOI: 10.12341/jssms10045
论文

一类单时滞线性系统的模糊变结构控制

    刘晓华(1),刘梦良(2)
作者信息 +

Solutions for a Class of Nonlinear Integro-Differential Equation on Unbounded Domains Variable Structure Control Design for Single Time-Delay Linear Systems

    LIU Xiaohua(1),LIU Mengliang(2)
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摘要

研究了一类单时滞线性系统变结构控制律的设计方法,基于模糊T-S模型把一类单时滞线性系统化为若干个时滞子系统,然后对时滞子系统设计变结构控制律,取全局控制作为系统的控制律,从而达到对单时滞线性系统系统进行控制的目的,给出了单时滞系统的滑模稳定的条件.仿真表明控制策略的有效性.

Abstract

The variable structure control design for single time-delay linear systems is discussed. By employing the fuzzy T-S model, the set of single time-delay linear systems can be integrated into a global model that is equivalent to the single time-delay system. Then for each subsystem we design the variable structure control. Based on the fuzzy logic, a global variable structure controller is designed for single time-delay linear systems. The stability of sliding mode is proven. Simulation is presented to show the effectiveness of this control strategy.

关键词

变结构控制 / 线性系统 / 模糊T-S模型 / 单时滞.

Key words

Variable structure control / linear systems / fuzzy T-S model / single time-delay.

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刘晓华 , 刘梦良. 一类单时滞线性系统的模糊变结构控制. 系统科学与数学, 2008, 28(1): 83-090. https://doi.org/10.12341/jssms10045
LIU Xiaohua , LIU Mengliang. Solutions for a Class of Nonlinear Integro-Differential Equation on Unbounded Domains Variable Structure Control Design for Single Time-Delay Linear Systems. Journal of Systems Science and Mathematical Sciences, 2008, 28(1): 83-090 https://doi.org/10.12341/jssms10045
中图分类号： 93B51   
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