[1]王坤,朱作键..一类含输入和状态时滞的不确定非线性系统的鲁棒控制[J].郑州大学学报(工学版),2012,33(06):27-31.[doi:10.3969/j.issn.1671-6833.2012.06.007]
　WANG Kun,ZHU Zuojian.Robust Control for a Class of Uncertain Nonlinear Systems with Input and State Delays[J].Journal of Zhengzhou University (Engineering Science),2012,33(06):27-31.[doi:10.3969/j.issn.1671-6833.2012.06.007]
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一类含输入和状态时滞的不确定非线性系统的鲁棒控制()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
33卷
期数:
2012年06期
页码:
27-31
栏目:
出版日期:
2012-11-10

文章信息/Info

Title:
Robust Control for a Class of Uncertain Nonlinear Systems with Input and State Delays
作者:
王坤; 朱作键.
燕山大学理学院,河北秦皇岛,066004, 燕山大学理学院,河北秦皇岛,066004
Author(s):
WANG Kun; ZHU Zuojian
College of Sciences,Yanshan University,Qinhuangdao 066004,China
关键词:
输入时滞;  状态时滞;  非线性扰动;  鲁棒控制;  矩阵分析;  线性矩阵不等式;  充分条件;  控制律
Keywords:
input delay;  state delay;  nonlinear perturbation;  robust control;  matrix analysis;  linear matrix inequality;  sufficient condition ;  controller
分类号:
TP 273
DOI:
10.3969/j.issn.1671-6833.2012.06.007
摘要:
针对一类同时具有输入时滞、状态时滞和非线性扰动的不确定控制系统,研究了此类系统的鲁棒渐进稳定性和状态反馈控制律的设计两个问题.在矩阵分析理论和鲁棒稳定理论基础上,通过选择适当积分形式的Lyapunov函数,利用线性矩阵不等式(LMI)性质和Schur引理,推导出了此类时滞系统鲁棒渐近稳定的一个充分条件,并给出了一个保证此类系统鲁棒渐近稳定的状态反馈控制律.最后,针对此类系统,通过MATLAB中LMI工具箱进行了数值模拟,证明了此充分条件和控制律的可行和有效.
Abstract:
The robust asymptotic stability probiem and state feedback controller problem for a class of uncer.tain systems are considered in view of the fact that the system contains input delay, state delay and nonlinealperturbation. Based on matrix analysis theory and robust stability theory, a sufficient condition of robust as.ymptotic stability for the system is derived. And in this process, the proper integral form of Lyapunov functionwas chosen, the properties of the linear matrix inequality ( LMl) and Schur lemma were used . Moreover, acorresponding state feedback controller for the system was given to ensure the robust asymptotic stability ofsuch systems. Finally, the feasibility and efficiency of the suficient condition and controller were verifed bynumerical simulation , which was conducted through the LMI toolbox in MATLAB.
更新日期/Last Update: 1900-01-01