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

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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

[more]

,

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).

[less]

Contributed by: Housam Binousand Naim Faqir  (March 2011)
(King Fahd University of Petroleum & Minerals)
Open content licensed under CC BY-NC-SA


Snapshots


Details

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.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send