测量数据丢失概率不确定的离散系统鲁棒H∞控制  

Robust H ∞ control for discrete-time systems with uncertain missing measurements probabilities

作　　者：阮玉斌[1] 杨富文[1] 王武[1] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2009年第5期690-695,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60474049;60604027);福建省自然科学基金资助项目(A0510009)

摘　　要：研究一类具有测量数据丢失概率不确定的离散系统控制器设计问题,系统用Bernou lli随机二进制切换序列来描述测量数据丢失,其概率为不能精确测量,但假设属于一个数值区间.设计一个基于观测器的控制器,对于所有具有L2范数有界的扰动和概率区间内所有测量数据丢失概率,闭环系统均方指数稳定且满足一定的H∞性能指标.应用线性矩阵不等式方法,给出并证明了控制器存在条件,最后通过例子说明了该方法的有效性.Problem related to a controller design for a class of discrete-time system with missing measurements is discussed in this paper.The data loss is modeled as a Bernoulli random binary switching sequence with an unknown conditional probability distribution that cannot be measured precisely but be assumed to be in an interval.An observer-based controller can be designed to make closed-loop system exponentially stable in the sense of mean square and achieve the prescribed H ∞ disturbance attenuation level under all L2-norm bounded disturbance and all probabilities in the interval. A sufficient condition is derived in terms of linear matrix inequality （LMI）. A numerical example illustrates the effectiveness of the proposed approach.

关 键 词：鲁棒控制 离散系统 不确定系统 测量数据丢失 H∞范数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]