Analog Control Systems (05_XDASA)

• Coefficient : 3
• Hourly Volume: 90h (including 36h 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 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.)

Learning Outcomes AAv (AAv)

• AAv1 [heures: 15, A1, B1, C1] : At the end of the semester, students will be able to model in the form of an exploitable transfer function a linear and time-invariant system (SLIT) with one input and an output (SISO) described by a system of mechanical and/or electrical equations, and to criticize the domain of validity of this modeling.

• AAv2 [heures: 15, B2, B3, B4] : At the end of the semester, students will be able to use mathematical tools such as the Laplace transform to characterize temporal behavior (static deviation, overshoot, response time) d a closed-loop SLIT system.

• AAv3 [heures: 10, B4, C1, C3] : At the end of the semester, students will be able to exploit different representations to predict the behavior of a closed-loop SLIT system. These representations include Bode, Nyquist and Black diagrams.

• AAv4 [heures: 10, B4, C3] : At the end of the semester, students will be able to criticize the performance of a correction strategy based on the closed-loop index response using criteria such as precision, dynamic performance and robustness.

• AAv5 [heures: 15, A1, A3, B4] : At the end of the semester, students will be able to synthesize using a frequency method (Black Nichols) an analog corrector of type P, PI, PID, to control a SLIT system in respecting the constraints of a specification. Students will be able to validate the performance of their corrector with simulation software.

• AAv6 [heures: 25, D3, D4] : At the end of the semester, students will be able to master measurement and testing methods using an oscilloscope, and will be able to design a linear corrector of type P, PI or PID to control a physical SISO system. They will also be able to check the performance of the corrector.

Assessment methods

A long evaluation (coefficient 1) and the average of several short evaluations in CTD (coefficient 1) and in Lab (coefficient 1)

Key Words

Automatics, electronics, signals and circuits.

Prerequisites

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

Resources