状态滞后区间系统的鲁棒H_∞控制  

Robust control of interval systems with delayed state

作　　者：薛明香[1] 蒋威[1] 

机构地区：[1]安徽大学数学与计算科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2006年第5期1-3,共3页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10241005)

摘　　要：研究了系统矩阵、时滞矩阵和输入矩阵均含有不确定性的状态滞后区间矩阵系统的H∞鲁棒控制问题.利用区间矩阵定义的等价形式使其结构化,运用矩阵不等式给出了时滞区间控制系统H∞鲁棒镇定的充分条件,并根据所给充分条件解一个代数R iccati方程,从而得到H∞鲁棒镇定控制律.The problem of H∞ robust control for time-delay systems with system matrix, time-delay matrix and input matrix being interval is studied. A sufficient condition for quadratic stabilization with an H∞ norm bound γof closed-systems is derived by using of equivalent definition of interval matrix and matrix inequalities. Then give a Robust H∞ controller by solving a certain algebraic Riccati inequality equation.

关 键 词：时滞 区间矩阵 H∞控制 二次稳定 

分 类 号：O175.15[理学—数学]