[HTML/JavaScript] Interactive PID-Controlled Second-Order Plant#
This section demonstrates the step response of a second-order plant controlled using a PID controller. The goal is to observe how the controller gains \(K_p\), \(K_i\), and \(K_d\) affect the closed-loop response.
The plant is modeled as a standard second-order system with these parameters:
\(\zeta\) is the damping ratio,
\(\omega_n\) is the natural frequency.
The notebook then plots the response \(c(t)\) to a unit-step input.
The notebook also calculates common time-domain response characteristics, including:
rise time,
peak time,
maximum overshoot,
settling time using the 5% band,
settling time using the 2% band,
closed-loop pole locations.