摘要
利用Ostrowski带(下称奥氏带)来改善INA法(逆乃氏阵列法)是多变量控制系统设计中一种熟知的方法,但这种方法对系统稳定性的影响在一般的书籍和文献中却未给出证明,本文对这个稳定性问题提出一种证明,其主要结论是用INA法设计的稳定系统,再按奥氏带的位置改变一个反馈系数后,只要改变后的反馈值不侵犯奥氏带,系统的稳定性就不致被破坏,也即系统仍然稳定。
In the design of multi-input multi-output systems it is wellknown that Ostrowski-band is used to improve the quality of the control system designed by Imverse Nyquist Array (INA) manner. But it has not been found in beoks and papers that how this manner affects the system stability In this paper, this problem is solved.The main result is that after the using INA manner, when one feedback parameter is changed, the system is still stable if this change does not make the parameter cross over the Ostrowiski-band.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1989年第1期67-72,共6页
Journal of University of Electronic Science and Technology of China
关键词
对角优势
奥氏带
渐近稳定
diagonal dominant
Gershgorin band
Ostrowski band
feedback parameter
princrple of argument
crossing
asymptotical stable