To visualize the s-plane plot of a PID controller, follow these steps:

1. Enter value for kp (proportional constant)
2. Enter value for ki (integral constant)
3. Enter value for kd (differential constant)
4. Click on the "Plot" button to visualise the s-plane plot for the PID controller

To visualize the time dynamics of a PID controlled temperature controller, follow these steps:

1. Enter value for current temperature (start temperature for the controller)
2. Enter value for set temperature (target temperature for the controller)
3. Enter value for kp (proportional constant)
4. Enter value for ki (integral constant)
5. Enter value for kd (differential constant)
6. Click on the "Plot" button to visualise a live simulation and plotting of the time dynamics of a PID controlled temperature controller

Build a system: C1·a^n·u(n) + C2·b^n·u(n).

1. Enter values for C1, C2, a, b.
2. Click "Simulate System" to see stability results.

Given the following impulse response of a discrete system, determine if it's stable or not.

x[n] = (a + ib)^n u[n] + (c + id)^n u[n]

1. Click "Generate System" to get random parameters.
2. Check if the system is stable or not.
3. Click "Check Stability" to verify your answer and see the response.

Simulate a second-order system under a unit step input:

y''(t) + 2ζωn·y'(t) + ωn²·y(t) = ωn²

1. Enter values for damping ratio (z) and natural frequency (wn).
2. Click "Simulate" to see the step response and stability status.

Determine if the given second-order system is stable:

y''(t) + 2ζωn·y'(t) + ωn²·y(t) = ωn²

1. Click "Generate System" to get random parameters.
2. Check if the system is stable or not.
3. Click "Check Stability" to verify your answer and see the step response.

1. Select if the system given in the figure with the provided constants (in blue below) is stable or not
2. Enter the poles separated with commas
3. Truncate the values to 2 decimal places, i.e., 2.348 should be 2.34
4. Click on the "Check" button to verify your answer and get feedback observations on the right

1. Enter value for kp (proportional constant)
2. Enter value for ki (integral constant)
3. Enter value for kd (differential constant)
4. For the given current temperature, you are expected to reach the given set temperature within 100 steps. Note: A medium amount of noise is added in the simulation.
5. Click on the "Simulate & Check" button to see a live simulation and verify your answer and get feedback observations on the right