Control Systems Lab

Plant

ωn: 5 rad/sζ: 0.30

PID

Kp: 1Ki: 0Kd: 0

View

Metrics

Overshoot

37.2%

Rise Time

0.39 s

Settle

2.67 s

Type

Under

Control Systems — Feedback Loop Design

Control systems engineering deals with designing feedback loops that make physical systems — motors, temperature regulators, aircraft — follow desired set points accurately. This simulator focuses on classical frequency-domain and root-locus methods for analyzing open- and closed-loop behavior. Unlike the PID controller simulator, here you work directly with transfer functions, gain margins, and phase margins.

What you can do in this simulation

Enter plant transfer functions as numerator and denominator polynomials
Plot Bode magnitude and phase diagrams and read gain and phase margins
Trace root locus as open-loop gain varies and identify stability boundaries
Add lead/lag compensators and see their effect on bandwidth and phase margin
Run closed-loop step response simulations to assess rise time and overshoot

Concepts covered

transfer function · Bode plot · root locus · gain margin · phase margin · stability

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