Generalized Negative Imaginary Lemma for Descriptor Systems 被引量：2

Generalized Negative Imaginary Lemma for Descriptor Systems

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摘要 Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary （NI） systems. In this paper, the authors study the extension of NI theory to descriptor systems. The authors derive an NI lemma for descriptor systems. This is done by using the transformation from positive real （PR） system to NI system. Then, the Weierstrass Form transformation was involved to transform A and E matrices to be in a special form. An illustrative example is presented to support the result. Negative imaginary systems, positive real systems, descriptor systems, Negative imaginary lemma.

作者 Mohamed A. Mabrok Abhijit G. Kallapur Ian R. Petersen Alexander Lanzon

机构地区 School of Engineering and Information Technology School of Electrical and Electronic Engineering

出处《Journal of Mechanics Engineering and Automation》 2012年第1期17-21,共5页 机械工程与自动化（英文版）

关键词 Positive real negative imaginary descriptor systems. 广义系统引理维尔斯特拉斯结构动力学位置传感器描述系统形态转化实际系统

分类号 O151.21 [理学—基础数学] TP13 [自动化与计算机技术—控制理论与控制工程]

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