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Roadmap / Applications

Control Engineering

Motors, drones, thermostats: anything that must follow a target accurately is control.

Goal Choose PID gains from reasoning, not guesswork.

  1. 01
    Open loop and closed loop3D lab

    Feedback means measuring the result and feeding it back into the input.

    Read the note KR

  2. 02
    System modelling

    Describing motors, RC circuits and temperature as first- and second-order systems.

    Read the note KR

  3. 03
    Laplace transform and transfer functions

    Turning differential equations into multiplication and division.

    Read the note KR

  4. 04
    Block diagrams

    Connecting systems as blocks and reducing them.

    Read the note KR

  5. 05
    Time response3D lab

    Overshoot, settling time, steady-state error: the common language of performance.

    Read the note KR

  6. 06
    PID control3D lab

    P reacts to present error, I to accumulated error, D to its rate of change.

    Read the note KR

  7. 07
    Stability

    Why raising the gain leads to oscillation and divergence, seen through pole positions.

    Read the note KR

  8. 08
    Frequency response and Bode plots

    Judging stability with phase margin and gain margin.

    Read the note KR

  9. 09
    Digital control

    Sampling period, discretization, and anti-windup against integrator saturation.

    Read the note KR

  10. 10
    A taste of state space

    The starting point of modern control: handling several states at once.

    Read the note KR