不确定2-D奇异系统Roesser模型鲁棒能稳的矩阵不等式方法  

A matrix inequalities approach to the robust stabilization for uncertain 2-D singular Roesser models

作　　者：徐慧玲[1] 邹云[1] 

机构地区：[1]南京理工大学自动控制系,江苏南京210094

出　　处：《控制与决策》2004年第11期1318-1320,共3页Control and Decision

基　　金：国家自然科学基金资助项目(60074007);高等学校骨干教师基金项目.

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-DSRM)鲁棒能稳问题.通过静态状态反馈控制律,使得对所有容许的不确定参数,闭环系统容许、稳定、无跳跃模.通过求解矩阵不等式,给出了不确定2-D奇异系统鲁棒能稳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.最后通过算例验证了方法的有效性.The problem of robust stabilization for linear discrete time 2-D singular Roesser models (2-D SRM) with parameter uncertainty is discussed. The purpose is to design the state feedback controllers such that the resulting closed-loop system is acceptable, jump modes free and stable of all admissible uncertainties. A sufficient condition of the solvability of the robust stabilization problem for linear discrete time uncertain 2-D SRM is given. And a desired state feedback controller is constructed by solving a set of matrix inequalities. Numerical example shows the applicability of the proposed approach.

关 键 词：2-D奇异系统 跳跃模 鲁棒能稳 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]