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

被引：0

作者：

王龙

郁文生

机构：

[1] Institute of Automation

[2] Beijing 100080

[3] Chinese Academy of Sciences

[4] Beijing 100871

[5] Peking University

[6] China

[7] Department of Mechanics and Engineering Science

来源：

Science China Technological Sciences | 2000年 / 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：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

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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