2-D奇异系统Roesser模型的鲁棒H_∞控制  

Robust H-infinity control for uncertain 2-D singular Roesser models

作　　者：徐慧玲[1] 盛梅[1] 邹云[2] 郭雷[3] 

机构地区：[1]南京理工大学应用数学系,江苏南京210094 [2]南京理工大学自动化系,江苏南京210094 [3]东南大学自动化研究所,江苏南京210096

出　　处：《控制理论与应用》2006年第5期703-705,共3页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60674014;60474078);南京理工大学科研发展基金资助项目;江苏省博士后科研资助计划(0601010B)

摘　　要：考虑具有参数不确定性的2-D奇异系统Roesser模型(简称2-D SRM)鲁棒H∞控制问题．在给出界实引理的另一等价形式的基础上,通过求解矩阵不等式,给出了不确定2-D奇异系统鲁棒H∞控制问题可解的充分条件及静态状态反馈控制律设计的代数表达式．最后通过一个仿真算例验证了方法的有效性．This paper discusses the problem of robust H-infinity control for linear discrete time 2-D singular Roesser models （2-D SRM） with parameter uncertainty. The purpose is the design of state feedback controllers such that the resulting closed-loop system is acceptable, jump modes free, stable and satisfies a specified H-infinity performance level for all admissible uncertainties. An equivalent form of bounded realness of 2-D SRM is established in terms of linear matrix inequalities. Based on this, a sufficient condition for the solvability of the robust H-infinity control problem for linear discrete time uncertain 2-D SRM is then presented, and a desired state feedback controller can also be derived by solving a set of matrix inequalities. Finally, numerical example is provided to demonstrate the applicability of the proposed approach.

关 键 词：2-D奇异系统 跳跃模 鲁棒H∞控制 矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]