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
收藏
页码：97 / 112
页数：16
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