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A coefficient plane technique for the evaluation of the transient response of two-zero, three-pole systems†

Lawrence Eisenberg

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Abstract

A graphical method is presented for the determination of the step input transient response of two-zero, three-pole transfer functions. The method is an extension of a coefficient plane technique previously developed for systems containing one-zero, three-pole transfer functions. There are no restrictions upon the locations of the s-plane zeros or poles if all the coefficients of the transfer function are real.

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A graphical method is presented for the determination of the step input transient response of two-zero, three-pole transfer functions. The method is an extension of a coefficient plane technique previously developed for systems containing one-zero, three-pole transfer functions. There are no restrictions upon the locations of the s-plane zeros or poles if all the coefficients of the transfer function are real.

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Available abstract

A graphical method is presented for the determination of the step input transient response of two-zero, three-pole transfer functions. The method is an extension of a coefficient plane technique previously developed for systems containing one-zero, three-pole transfer functions. There are no restrictions upon the locations of the s-plane zeros or poles if all the coefficients of the transfer function are real.

Key concepts: Closed-loop pole, Transfer function, Pole–zero plot, Zero (linguistics), Plane (geometry), Mathematics, Transient (computer programming), Transient response

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A coefficient plane technique for the evaluation of the transient response of two-zero, three-pole systems† — Research Paper | ScholarLens