基于散射模型的H_∞控制系统的稳定性  

Stability of Had Control Systems Based onChain-Scattering Representation

作　　者：忻欣[1] 刘延年[1] 冯纯伯[1] 

机构地区：[1]南京东南大学自动化研究所

出　　处：《控制理论与应用》1996年第5期663-666,共4页Control Theory & Applications

基　　金：国家自然科学基金

摘　　要：本文利用（Ｊ，Ｊ＇）－无损矩阵的性质，研究了基于散射模型的Ｈ∞控制系统的闭环稳定性，获得了广义对象的散射模型为（Ｊ，Ｊ’）－无损的Ｈ∞控制问题可解的充要条件．与文［１］中关于广义对象为一类内矩阵的Ｈ∞控制问题求解的结果相比，本文的结论对广义对象的限制要弱．The closed-loop stability of Had control systems based on chain-scattering representation isstudied by using the property of (J,J')-lossless matrix. A necessary and sufficient condition for the H∞control systems where the chain-scattering representation of generalized plant is a (J,J')-lossless matrixis obtained. In comparison with the result of [1] about the stability of H∞ control problem for an inner system,the constraint on the generalized plant is weak.

关 键 词：H∞控制 闭环稳定性 散射模型 控制系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]