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

被引:0
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作者
Long Wang
Wensheng Yu
机构
[1] Peking University,Department of Mechanics and Engineering Science
[2] Chinese Academy of Sciences,Institute of Automation
关键词
control systems; uncertainties; strict positive realness; robust synthesis; weak strictly positive real regions; complete discrimination system for polynomials;
D O I
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中图分类号
学科分类号
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.
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页码:97 / 112
页数:15
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