Synthesis of correctors and control architectures

Be able to...

    Choose a type of controller suited to a set of specifications,

    Simplify models and determine their validity range,

    Calculate the parameters of a P, PI, phase advance, or PID controller using different methods,

    Choose the method based on the context and specifications,

Scenario: support application

    Advantages of closed-loop control: open-loop, closed-loop, proportional correction, stability, accuracy, speed = a cruel dilemma!, calculation of proportional controller/specifications

    Integral controllers: dominant pole compensation method, symmetrical optimum method, 1/10 method, implementation

    Derivative controllers: calculation of parameters by imposing bandwidth, by the pole compensation method, implementation

    PID controllers: calculation by pole compensation, by PI combination – Phase advance

    Experimental methods for adjusting PI and PID controllers: Expert adjustment, Broïda method, Ziegler Nichols method, and relay method

    Control architectures: PI and more... More state variables to control; a little anticipation

Conclusion: comparisons, summary and outlook

Basic calculations with Laplace transforms: signal transforms, inverse transforms, final value theorems, initial value theorems, delay theorems, etc.

    Calculations with complex numbers.

    Solving first- and second-order differential equations.

    Proficiency with Bode and Nyquist diagrams.