摘要
本文在频域中研究了线性多变量系统在开环脉冲响应数据可测或可由系统仿真得到时的反馈稳定性问题;讨论了当系统模型未知或过于复杂,从而不便直接分析时,采用简单的近似模型 G_A(s)给出系统构模误差 G(s)—G_A(s)的 L_1和 L_x 范数上界的估值;在 G_A(s)足够简单以及 G(s)—G_A(s)的元素有界并在 Ny quist 围线上解析的条件下,给出了用系统构模误差的脉冲响应数据判别真实系统闭环稳定的充分条件.
This paper considers the problem of frequency-domain stability fora linear multivariable system whose models are unknown or highly complex,but its open-loop impulse response data will be measured.The new L_∞and L_1 norm estimations of system modelling error are given,and asufficient condition is acquired.That controller stabilizes the approximatemodels closed-loop and it will also stabilize the real plant closed-loop.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1992年第4期41-51,共11页
Journal of Lanzhou University(Natural Sciences)
关键词
数学模型
稳定性
多参数控制
multivariable control systems
mathematical models systematic error
stability
