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Digital servo-controls (06_XDASN) ​

  • Coefficient : 3
  • Hourly Volume: 70h (including 36h supervised)
    CTD : 18h supervised (and 3h unsupervised)
    Labo : 18h supervised (and 3h unsupervised)
    Out-of-schedule personal work : 28h

AATs Lists

Description ​

  1. Sampled 1st and 2d order linear systems.
  • digital transfer functions ;
  • model of ideal DACs and ADCs, influence of BOZ ;
  • time and frequency regimes ;
  • Pole transformations by sampling: reading in the plane.
  1. Discrete and looped systems
  • stability (geometrical criteria, pole placement) ;
  • accuracy analysis.
  1. Synthesis of digital correctors
  • discrete PI correctors (synthesis and implementation) ;
  • polynomial corrector synthesis (compensation).

Learning Outcomes AAv (AAv) ​

  • AAv1 [heures: 10, C1] : Students will be able to model, in the form of a Z transfer function, a closed-loop system comprising a digital corrector, NA (with or without BOZ) / AN converters, and a continuous system to be controlled.

  • AAv2 [heures: 20, B3, C3, D3] : Students will be able to analytically determine the time response of a discrete-time SISO SLIT system when a digital signal is sent to its input, and to determine the main characteristics of this response.

  • AAv3 [heures: 10, B2] : Students will be able to digitise a common analogue corrector (P, PI, PID) using a discretisation strategy and express its digitised version as a Z transfer function or recurrence equation.

  • AAv4 [heures: 20, C1, C3, D3] : Students will be able to synthesise a digital corrector using a frequency method to control a SLIT system in contained time in accordance with the constraints of a specification. The students will be able to validate their corrector with simulation software and criticise the performance obtained

  • AAv5 [heures: 10, D1] : Students will be able to implement and run a digital P, PI and PID corrector on a microprocessor using a programming language such as C.

Assessment methods ​

One long continuous assessment (coefficient 2), average of several short continuous assessments in CTD (coefficient 1) and in LABO (coefficient 3).

Key Words ​

Sampled systems, digital control and regulation, closed loop, stability, synthesis of digital correctors.

Prerequisites ​

Continuous servo systems (system analysis and corrector synthesis). Mathematical tools for continuous signals (Laplace transform, transfer function, convolution). function, convolution). Notions of system modelling.

Resources ​

Course handouts and texts for tutorials and laboratory work.