区间离散时滞广义系统的状态反馈鲁棒H_∞控制  

State Feedback Robust H-infinity Control for Interval Discrete-time Time-delay Singular Systems

作　　者：李赞华[1] 赵金[2] 

机构地区：[1]沈阳理工大学理学院,辽宁沈阳110159 [2]沈阳东软医疗系统有限公司,辽宁沈阳110179

出　　处：《沈阳理工大学学报》2011年第3期84-87,共4页Journal of Shenyang Ligong University

基　　金：沈阳理工大学青年教师科研启动专项基金(2010QN0307)

摘　　要：讨论一类区间离散时滞广义系统的状态反馈鲁棒H∞控制问题。在给出区间离散时滞广义系统的等价描述后,基于系统参数不等式,得到问题可解的充分条件,并给出状态反馈控制器显式表示。所得的控制器保证闭环系统正则,具有因果关系,稳定并且满足给定的H∞性能指标。数值例子说明了该方法的正确性.The problem of state feedback robust H∞ control for interval discrete-time time-delay singular systems is discussed.Firstly,a kind of equivalent decription of the interval descrete-time time-delay singular systems is given.Then a sufficient condition for the solvability of the problem and the explicit expression of state feedback robust H∞ controller are obtained in terms of matrix inequalities.The designed controller guaranteed that the closed-loop systems is regular,causal,stable and satisfying a prescribed H∞ norm bounded constraint.Finally,a numerical example is given to demonstrate the effectiveness of the proposed method.

关 键 词：区间矩阵 离散时滞广义系统 状态反馈 鲁棒H∞控制 

分 类 号：O232[理学—运筹学与控制论]