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

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).