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带有量化与丢包的线性系统的动态反馈控制
引用本文:卢金玲,贾新春,张琪.带有量化与丢包的线性系统的动态反馈控制[J].中北大学学报,2012(1):83-87.
作者姓名:卢金玲  贾新春  张琪
作者单位:山西大学数学科学学院
基金项目:国家自然科学基金资助项目(90820014)
摘    要:研究了涉及信号量化与数据丢包的网络控制系统的动态输出反馈控制问题.其被控系统的状态是不可测的,且量测输出信号与控制输出信号在经过网络传输之前被对数量化.由于通道带宽受限,使由传感器到控制器与由控制器到执行器的通讯通道中同时可能发生随机丢包,因此闭环系统被建模为含有4个子系统的离散切换系统.利用扇形界方法与平均驻留时间方法,以非线性矩阵不等式的形式给出了闭环系统指数稳定的充分条件,并通过求解一个非线性最小化问题得出了动态控制器.

关 键 词:指数稳定性  网络控制系统  对数量化器

Dynamic Feedback Control for Linear System with Quantization and Packet Loss
LU Jin-ling,JIA Xin-chun,ZHANG Qi.Dynamic Feedback Control for Linear System with Quantization and Packet Loss[J].Journal of North University of China,2012(1):83-87.
Authors:LU Jin-ling  JIA Xin-chun  ZHANG Qi
Affiliation:(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)
Abstract:The dynamic output-feedback control problem was considered for networked control system with signal quantization and data packet loss.The state of the controlled system is unavailable and the measured output signal and the controlled output signal were logarithmically quantized before being communicated.Because of the insufficiency of the bandwidth of the channels,such random looses could occur,simultaneously,in the communication channels from the sensor to the controller and from the controller to the actuator.The closedloop NCS was modeled as a discrete-time switched system with four subsystems.By using the sector bound approach and the average dwell-time method,sufficient conditions for the exponential stability of the closed-loop NCS were presented in terms of nonlinear matrix inequalities,and the dynamic output feedback controller was obtained by solving a nonlinear minimize problem.
Keywords:exponential stability  networked control systems  logarithmic quantizer
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