摘要
提出了利用构造系统的Lyapunov不等式的对称正定解,采用放大矩阵不等式的新方法,通过对鲁棒反馈控制系统不确定项进行结构表出,基于二次反馈策略构造系统的反馈镇定控制器。首先得到不确定线性时滞鲁棒系统稳定的充分条件,进而给出判别不确定线性时滞反馈系统鲁棒镇定的充分条件。所给出的定理条件易于表达,由于参数少而容易检验。
A new idea of utilizing a symmetrical positive and definite solution of Lyapunov inequation in the structure system is put tin＇ward,and amplyfying the matrix inequality method for a given Robust linear time-delay systems and Robust linear time-delay control systems is proposed for the first time. The feedback stability controller is based on the twice feedback policy structural system. First the sufficient conditions are obtained for stabilizing the uncertain time-delay Robust system and then the sufficient conditions are given for differentiating the Robust stability in the uncertain time-delay feedback system. The theorematic conditions given here in this paper are easy to express and,owlng to less parameters,easy to be tested.
出处
《中国民航学院学报》
2006年第6期9-13,共5页
Journal of Civil Aviation University of China
基金
中国民用航空总局教育基金项目(03-3-06)
作者简介
麻世高（1962-），男，辽宁大连人。副教授，工学硕士，研究方向为不确定系统的分析与控制，组合大系统的分析与控制．
