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Digital control systems (06POEASN) ​

  • Coefficient : 2
  • Hourly Volume: 60h (including 25.5h supervised)
    CTD : 16.5h supervised
    Labo : 9h supervised (and 3h unsupervised)
    Out-of-schedule personal work : 31.5h

AATs Lists

Description ​

  1. 1st and 2nd order sampled linear systems
  • digital transfer functions ;
  • ideal DAC and ADC model, 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] : LStudents 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 conventional analogue corrector (P, PI, PID) using a discretisation strategy and express its digitised version in the form of a Z transfer function or a 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

Assessment methods ​

One long continuous assessment (coefficient 2) and the average of several short continuous assessments from CTD (coefficient 1) and Lab (coefficient 3).

Key Words ​

control, digital control, sampling, Z-transform, Synthesis of correctors correctors

Prerequisites ​

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

Resources ​

Course handouts, tutorials and lab texts