摘要
利用主导特征向量配正方法设计控制器，使主导特征函数对系统参数摄动的敏感度最小，且稳定．但是，这种设计方法不能保证所有非主导特征函数对系统参数摄动的敏感度也小，且也稳定．因此，利用主导特征向量配正方法设计受到摄动的系统控制器时，必须检验闭环系统的稳定性．文中给出了检验这种情况下闭环系统稳定性的定理和配正设计的控制器应满足的条件．
In synthesizing system controller, the dominate eigenvector alignment approach can make the dominate eigenfunction stable and make its sensitivity to parameter perturbation the minimal. But for other non dominate eigenfunction, such stability and insensitivity are not guaranteed by this approach. Thus the stability of the closed loop system with perturbation must be checked when using the approach. This paper presents the stability theorems and stable conditions which must be satisfied in design of controller using the dominate eigenvector alignment approach.
出处
《自动化学报》
EI
CSCD
北大核心
1999年第6期750-756,共7页
Acta Automatica Sinica
基金
国家自然科学基金
