Wolfram Demonstrations Project

Consider a second-order system given by the transfer function:

where

is the damping coefficient,

is the response time, and

is the process steady-state gain.

This Demonstration plots the Bode, Nyquist, and Nichols diagrams for user-set values of the parameters

, and

. Different behaviors are observed for

(underdamped or oscillating system),

(critically damped system), and

(overdamped system).

Reference

[1] D. E. Seborg, T. F. Edgar, D. A. Mellichamp, and F. J. Doyle III, Process Dynamics and Control, 3rd ed., New York: John Wiley & Sons, 2010.

(King Fahd University of Petroleum & Minerals)

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Bode, Nyquist, and Nichols Diagrams of Second-Order Systems