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Analog Control Systems (05_XDASA) ​

  • Coefficient : 3
  • Hourly Volume: 80.0h (including 36.0h supervised)
    CTD : 18h supervised (and 3h unsupervised)
    Labo : 18h supervised (and 3h unsupervised)
    Out-of-schedule personal work : 38h

AATs Lists

Description ​

  1. General:
    • Concept of continuous system
    • Definition and properties (necessary for the rest) of the Laplace Transformation.
    • Application to electrical networks.
    • Continuous transfer functions
    • Temporal responses by the TL (transient and permanent regimes)
    • Harmonic analyses. Representations of Bode and Black (Nyquist).
  2. Definition and analysis of looped systems:
    • Open loop, closed loop.
    • Analysis of systems controlled by their transfer locations and by the placement of their poles (equivalent damping, resonance, static gain, etc.).
    • Stability and robustness of linear servo systems (geometric criterion based on Bode and Black-Nichols)
    • Accuracy of linear servo systems.
    • Correctors (PI, phase advance, etc.)

  • AAV1 [heures: 20, A1, B1, C1] : Modeling, analysis, and identification of SLITs. By the end of the semester, students will be able to:

    • Model a linear, time-invariant (SLIT) physical system with one input and one output (SISO) as a transfer function from a differential equation.
    • Analyze the stability (poles), steady state, and dynamic behavior (response time, overshoot) of first- or second-order systems.
    • Identify a first- or second-order system from measurements (index response, impulse response, steady-state sinusoidal response (harmonic)).

  • AAV2 [heures: 20, A1, A3, B4] : Closed-loop system analysis: By the end of the semester, students will be able to:

    • Determine the transfer function of a closed-loop control system and distinguish between the contributions of the control and disturbance to the output.
    • Use a Bode diagram to predict the performance of a closed-loop system: stability (phase and gain margins), accuracy (final error), dynamic behavior (resonance).

  • AAV3 [heures: 20, A1, A3, B4] : Frequency synthesis of linear controllers. By the end of the semester, students will be able to:

    • Design an analog controller (P, PI, PID, or phase advance) in accordance with specifications relating to system stability, accuracy, and dynamics.
    • Justify their choices using frequency representations (Bode or Black diagrams) and common trade-offs (stability/speed, accuracy/bandwidth).

  • AAV4 [heures: 20, D3, D4]: Implementation and validation on a real system. By the end of the semester, students will be able to

    • Implement a linear controller (P, PI, or PID) on a microcontroller using appropriate digital discretization (e.g., Euler's method).
    • Use an oscilloscope or digital measurement system to characterize system behavior.
    • Validate the performance of a control strategy through simulation and experimentation: stability, accuracy, speed, robustness.

Assessment methods ​

AAV 1, 2, and 3 will be assessed through short assessments + a comprehensive assessment similar to a midterm exam. Lab sessions will be used to assess AAV4.

Key Words ​

Automatics, electronics, signals and circuits.

Prerequisites ​

Basic electronics, Mathematics up to BAC+2, Experimentation on simple circuits.

Resources ​