分布参数时滞随机系统鲁棒控制的LMI方法  

LMI-based approach to robust control for distributed parameter stochastic systems with time delays

作　　者：陈贵词[1] 李寿贵[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430081

出　　处：《武汉科技大学学报》2008年第2期218-221,共4页Journal of Wuhan University of Science and Technology

基　　金：国家自然科学基金资助项目(60574042);湖北省教育厅自然科学基金资助项目(Q200611010)

摘　　要：构造了平均Lyapuonv泛函,对于带有多个常时滞或变时滞的分布参数随机系统,在状态反馈控制下,采用与现有的研究分布参数系统不同的方法——线性矩阵不等式(LMI),给出了系统鲁棒镇定的一些充分条件。该方法与现有的方法进行比较,其优点就是所获得的条件易于检验,并举例说明了该方法的有效性。Based on linear matrix inequality （LMI） which differs from the existing methods for the research of distributed parameter systems, mean type Lyapunov functions are constructed and robust stability for a class of distributed parameter stochastic systems with constant time delays or variable time delays via a state feedback controller is discussed. Some sufficient conditions for the robust stability of the distributed parameter stochastic systems are deduced. An obvious advantage of the LMI approach is that the conditions obtained are easy to test. To illustrate the feasibility of the method, a numerical example is given at the end of the paper.

关 键 词：分布参数 时滞 随机系统 鲁棒控制 LMI 

分 类 号：O175[理学—数学] O231[理学—基础数学]