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An efficient synthesis-oriented CAD implementation of Nyquist stability criterion

Francesco Centurelli, SCOTTI, Giuseppe, TOMMASINO, PASQUALE, TRIFILETTI, Alessandro, Raimondo Luzzi

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Abstract

Nyquist stability criterion is largely used to determine the number of Right-Half Plane poles of feedback systems and circuits. However, visual inspection of open-loop gain polar plot is required, and automatic stability check within microwave CAD tools is not possible. In this paper, a procedure to check system and circuit linear stability by means of Nyquist criterion within CAD tools, is presented. The proposed method makes use of integral phase evaluation of a transfer function, and does not require visual inspection of Nyquist plots. The method has been successfully implemented in commercial microwave CAD tools.

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What this paper is about

Nyquist stability criterion is largely used to determine the number of Right-Half Plane poles of feedback systems and circuits. However, visual inspection of open-loop gain polar plot is required, and automatic stability check within microwave CAD tools is not possible. In this paper, a procedure to check system and circuit linear stability by means of Nyquist criterion within CAD tools, is presented. The proposed method makes use of integral phase evaluation of a transfer function, and does not require visual inspection of Nyquist plots. The method has been successfully implemented in commercial microwave CAD tools.

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Available abstract

Nyquist stability criterion is largely used to determine the number of Right-Half Plane poles of feedback systems and circuits. However, visual inspection of open-loop gain polar plot is required, and automatic stability check within microwave CAD tools is not possible. In this paper, a procedure to check system and circuit linear stability by means of Nyquist criterion within CAD tools, is presented. The proposed method makes use of integral phase evaluation of a transfer function, and does not require visual inspection of Nyquist plots. The method has been successfully implemented in commercial microwave CAD tools.

Key concepts: Nyquist stability criterion, Nyquist plot, Nyquist–Shannon sampling theorem, Stability (learning theory), Circle criterion, Nyquist frequency, CAD, Computer science

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