Feedback Control Systems with a state space representation - 3AMAC324

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Number of hours
- Lectures : 12.0
- Tutorials : 6.0
- Laboratory works : 9.0
- Projects : -
- Internship : -
- Written tests : -
ECTS : 2.5
Officials : Damien KOENIG

Goals

This course covers the fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic. By the end of the course, the student should be able to design controllers using state-space methods and evaluate whether these controllers are robust.

Content

The full state feedback is a method employed in feedback control system theory to place the closed-loop poles of a plant in pre-determined locations in the s-plane. Placing poles is desirable because the location of the poles corresponds directly to the eigenvalues of the system, which control the characteristics of the response of the system. The course is decomposed as follow :

Non linear Modelisation with the Euler Lagrange equation
State space representation
Study of the controllabilty and observability
Stability analysis
Disturbance attenuation
Regulator/Observer design
Proportional observer and Unknown input observer
Study of the transfers functions S, T, loop

Prerequisites

Linear algebra (rank of matrices, eigenvalues, kernel…).
Control of the systems debribed by a transfer function

Tests

E1 = examen terminal session 1, calculatrices autorisées + 1 feuille A4 R/V manuscrite, durée 1h30.
E2 = examen session 2, calculatrices autorisées + 1 feuille A4 R/V manuscrite, durée 1h30.

Calendar

The course exists in the following branches: