非线性网络控制系统的保性能控制  

Guaranteed Cost Control for Nonlinear Networked Control Systems

作　　者：赵海英[1] 董娟[2] 吴忠强[2] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]燕山大学电气工程学院,河北秦皇岛066004

出　　处：《数学的实践与认识》2015年第24期252-259,共8页Mathematics in Practice and Theory

摘　　要：针对网络诱导时延小于一个采样周期的非线性网络控制系统,研究了系统的稳定性和保性能控制问题.对于T-S模糊模型描述的非线性被控对象,将时延的不确定性转化为系统参数的不确定性,从而将这一类非线性网络控制系统建模为具有参数不确定性的离散T-S模糊模型.基于建立的模型,提出了存在稳定保性能控制器的充分条件,并得出了相应的线性矩阵不等式(LMI)形式.最后通过对永磁同步电动机混沌系统进行控制和仿真研究,验证了所提出方法的有效性.Considering a class of nonlinear networked control systems in which the network- induced time delay is less than one sample, time, the problem of the stability and guaranteed cost control of the sYstem is studied. For the nonlinear plant described by T-S fuzzy model, the uncertainty of the delay is transformed to parametrical uncertainties. Then a discrete T-S fuzzy model with uncertainty is built for such nonlinear networked control systems. Based on the model, a sufficient condition is derived for stable guaranteed cost controller, and the LMI form is derived accordingly. Finally, the permanent-magnet synchronous motor chaos system is controlled, and the simulation result shows the effectiveness of the proposed method.

关 键 词：网络控制系统 T—S模型 不确定时延 永磁同步电动机 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]