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一类带有不确定性的时滞系统的控制器设计
引用本文:杨青,李树荣.一类带有不确定性的时滞系统的控制器设计[J].系统科学与数学,2008,28(9):1148-1157.
作者姓名:杨青  李树荣
作者单位:中国石油大学信息与控制工程学院,东营,257061
摘    要:针对一类带有不确定性的单输入单输出的时滞非线性系统,提出了一种鲁棒非线性控制算法.利用反步设计的迭代设计思想,在每一步构造李亚普诺夫-克拉索夫斯基函数,用放大不等式的方法获得控制器,保证闭环系统的稳定性.以连续搅拌化学反应器为例的仿真结果也验证了控制器具有良好的控制特性.

关 键 词:非线性系统  时滞系统  李亚普诺夫-克拉索夫斯基函数  反步设计
收稿时间:2005-10-24

Controller Design for a Class of Time Delay Systems with Uncertainty
YANG Qing,LI Shurong.Controller Design for a Class of Time Delay Systems with Uncertainty[J].Journal of Systems Science and Mathematical Sciences,2008,28(9):1148-1157.
Authors:YANG Qing  LI Shurong
Institution:College of Information and Control Engineering, University of Petroleum, Shandong 257061
Abstract:A nonlinear robust controller is proposed for a class of single input single output time-delay nonlinear systems with system uncertainty. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functions areconstructed at each step. By magnifying inequation at each step, a robust controller can be acquired, and the corresponding closed loop system is stable. The simulation result of two stage CSTR shows that the controller proposed in this paper has well control behavior.
Keywords:Nonlinear systems  time delay  Lyapunov-Krasovskii function  backstepping  
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