测量数据包丢失和量化影响下的H_∞控制  

H_∞ control under measuring packet loss and quantification

作　　者：杨艳华[1,2] 王武[2] 杨富文[3] 

机构地区：[1]泉州师范学院应用科技学院,泉州362000 [2]福州大学电气工程与自动化学院,福州350108 [3]华东理工大学信息科学与工程学院,上海200237

出　　处：《高技术通讯》2010年第5期531-537,共7页Chinese High Technology Letters

基　　金：国家自然科学基金(60604027);福建省自然科学基金(2008J0191;2009J01279)资助项目

摘　　要：基于状态观测器研究了具有测量数据丢失的多输入多输出(MIMO)线性离散系统的量化H_∞动态输出反馈控制问题。每路输出采用一个独立的静态对数量化器,采用扇形界方法来描述量化误差,且采用满足Bernoulli分布的序列来描述网络传输数据的丢失,预先假设数据丢失的概率。然后,将量化控制问题转化为范数不确定系统的控制问题,进而采用线性矩阵不等式(LMI)方法设计状态观测器和输出反馈控制器,使得系统均方指数稳定并具有给定的H_∞性能。数值仿真验证了设计方法的有效性。A state observer-based quantized H∞ dynamic output feedback problem was proposed for linear discrete-time MIMO systems with missing measurement data. A separate and static logarithmic quantizer for each output channel was modeled, and the sector bound approach was used to describe the quantization error. At the same time, a Bernoulli distributed white sequence was used to describe missing data and the probability of the occurrence of missing measurement data was assumed to be known. Then, the quantized control problem was turned to the control problem of uncertainty systems. Next, the state observer and the out-put feedback controller were designed in term of the linear matrix inequality （LMI） method to make the systems exponential mean-square stable and satisfy the prescribed H∞ performance of the systems. Finally, a numerical example was provided to demonstrate the validity of the proposed design approach.

关 键 词：数据丢失 离散系统 对数量化 H∞控制 线性矩阵不等式(LMI) 

分 类 号：TP393.06[自动化与计算机技术—计算机应用技术]