Control systems scripts for Learning

Control Systems (9 scripts):

Control Systems MATLAB Toolkit — Script Descriptions

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All scripts produce MATLAB figure plots. Some include interactive sliders.

Requires Control System Toolbox.

1. cs01_transfer_function.m

Build and inspect a transfer function. Reports poles, zeros, DC gain, order,

standard 2nd-order parameters (omega_n, zeta) and plots the pole-zero map.

2. cs02_time_response.m

Step response with annotated specs. Uses stepinfo to extract rise time, peak

time, overshoot and settling time; overlays them on the response plot.

3. cs03_stability_routh.m

Routh-Hurwitz array and range-of-K stability search. Prints the Routh array

for a numeric characteristic polynomial, then sweeps K in a feedback loop

and marks the stable range.

4. cs04_root_locus.m

Root locus with asymptote and breakaway analysis. Plots the standard textbook

example G(s)H(s) = K / [s(s+2)(s+4)] and reports asymptote angles and centroid.

4b. cs04b_root_locus_interactive.m

Interactive root locus explorer. Drag a gain slider K in [0, 100] and watch

closed-loop poles slide along the locus. A second panel shows the closed-loop

step response so you can feel how pole movement changes settling and overshoot.

5. cs05_bode_gm_pm.m

Bode plot with automatic gain and phase margin markers. Computes and prints

GM, PM and their crossover frequencies.

6. cs06_nyquist_encirclement.m

Nyquist plot and encirclement of -1 + j0. Verifies N = P - Z from the Cauchy

argument principle for G(s) = 1/(s+1)^3.

7. cs07_pid_tuner_ziegler.m

Ziegler-Nichols PID tuning demonstration. Finds the ultimate gain Ku and

period Pu for a plant, then applies the classic PID formula and compares

open-loop and closed-loop step responses.

7b. cs07b_pid_interactive.m

Interactive PID tuner with sliders. Drag Kp/Ki/Kd sliders and watch the live

step response, pole map and control effort plot update. A "Reset to Z-N"

button snaps gains back to Ziegler-Nichols tuning.