文章基本信息

标题：Biquadratic Phase-Compensating System With Robust Stability
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作者：Tian-Bo Deng
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2019
卷号：2239
页码：176-179
出版社：Newswood and International Association of Engineers
摘要：A new method is proposed in this paper for the design of an allpass biquadratic (biquad) phase-compensating system whose stability-margin satisfies an arbitrarily preset stability criterion. The design technique utilizes the generalized stability-triangle (GST) proposed by the author and the bilinear (BL) phase-error function of the allpass biquad system. Based on the GST condition, it is shown that the original biquadsystem coefficients can be converted to the functions of other two new variables, while the two variables have no limits (bounds) on their values to satisfy the GST condition. Based on the above function conversions, the design technique further employs a nonlinear optimization method to find the optimum values of the two variables to approximate a prescribed ideal phase, while the resulting values of the two variables never violate the GST condition. That is, the resulting allpas biquad system can always satisfy a prescribed stability margin and the given ideal phase can also be best approximated in the minimax sense. An example is included in the paper to demonstrate the guaranteed stability margin.
关键词：Bilinear (BL) error function; biquadratic (biquad); system; stability; generalized stability-triangle (GST);; stability margin.