Feedback Control Systems with a state space representation - 3AMAC324

Goal(s)

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(s)

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

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