量化的连续时间网络控制系统的H_∞控制

H_∞ Control of Quantized Continuous-Time Networked Control Systems

考虑带有两个量化器的连续时间网络控制系统的控制问题,量化器采用静态量化形式.在系统中,状态和控制信号分别在传感器和控制器两侧进行量化.采用李亚普诺夫函数方法、Jessen不等式方法,引入松散变量技术和扇形有界方法获得了基于线性矩阵不等式的H∞性能分析条件,在此基础上给出了量化的网络系统H∞控制器的设计方法.数学例子说明了此方法的有效性.

How to control the continuous-time networked control systems（NCSs） with two quantizers in static form was considered,where two signals,i.e.,state and control input,were quantized separately on the sides of sensors and controllers.The conditions for analyzing the H_∞ performance of quantized NCSs were presented in terms of linear matrix inequalities（LMIs）,which were obtained by the Lyapunov function and Jessen inequality methods with the technique of relaxation variables and sector bound method introduced.Then,a quantized H∞ controller was designed by solving LMIs.A numerical example was given to illustrate the effectiveness of the proposed method.