Complete characterization of strictly positive real regions and robust strictly positive real synthesis method

被引：17

作者：

Wang, L ^{[1
]}

Yu, WS

机构：

[1] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China

[2] Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES | 2000年 / 43卷 / 01期

关键词：

control systems; uncertainties; strict positive realness; robust synthesis; weak strictly positive real regions; complete discrimination system for polynomials;

D O I：

10.1007/BF02917142

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The concept of weak strictly positive real regions is introduced, and its properties are discussed. By using the complete discrimination system for polynomials, complete characterization of the (weak) strictly positive real regions for transfer functions in coefficient space is given. A new effective method for robust strictly positive real synthesis is proposed. This method results in necessary and sufficient conditions for low-order stable interval polynomials and segment polynomials, and is also efficient for high-order cases. Numerical examples are provided to illustrate the effectiveness of this method.

引用

页码：97 / 112

页数：16

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