摘要
研究了区间离散广义系统的状态反馈鲁棒镇定问题.首先,用区间矩阵的一种等价描述形式,将所讨论的区间离散广义系统变换成对应的矩阵范数有界的参数不确定性离散广义系统.其次,在此基础上,基于矩阵不等式,得到了区间离散广义系统可由状态反馈鲁棒镇定的一个充分条件,并利用矩阵不等式的解给出了控制器的设计方法.
This paper considers the robust stabilization problem of interval discrete-time singular systems. By an equivalent description form of interval matrix, the interval diserete-time descriptor systems is transformed to an uncertain discrete-time singular systems with matrix norm bounds. Then a sufficient condition for the state feedback robust stabilization of the considered system：is derived in terms of certain matrix inequalities. Furthermore, the explicit formula of desired controller is provided using the solution of the matrix inequalities.
出处
《鞍山师范学院学报》
2006年第4期1-4,共4页
Journal of Anshan Normal University
关键词
离散广义系统
区间矩阵
矩阵不等式
鲁棒镇定
状态反馈
Discrete-time singular system
Interval matrix
Matrix inequalities
Robust stabilization
State feedback
