Analogue Control Systems (05AOGASA)

• Coefficient : 2
• Hourly Volume: 90.0h (including 36.0h supervised)
  CTD : 18h supervised (and 3h unsupervised)
  Labo : 18h supervised (and 3h unsupervised)
  Out-of-schedule personal work : 48h

AATs Lists

Description

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

Learning Outcomes AAv (AAv)

• 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