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Lecturers :

Nicolas Petit
Pierre Rouchon

Teaching staff :
Delphine Bresch-Pietri
Florent Di Meglio
Jean-Philippe Chancelier
Thomas Leroy

Level : UnderGraduate

Course Language : French

Term : Spring

Number of hours : 27

ECTS Credits : 2
SGS_C1422 Dynamical systems and Automatic Control
Teaching site :
Objective: The subject of this class is the study and control of dynamical systems. Three  main themes are addressed :
  • Dynamical systems analysis (stability, robustness, and perturbation theory)
  • Control (feedback linearization, motion planning and trajectory tracking)
  • Observation (estimation, asymptotic observer, filtering and diagnosis).

Programme: Examples from  both industrial and academic worlds serve as introduction and illustration for several key definitions and results. These yield classes of control and observation algorithms. More theoretical results stemming from this approach are presented, and, most importantly, we stress their limitations by sketching perspectives toward open problems. Numerical experiments (conducted with Scilab) motivate the need for robustness and performance. They also underline the roles of (large-scale) simulation models and low dimensional control design oriented models. Mainly, we focus on systems governed by continuous-time ordinary differential equations. Discrete time systems fundamentals are given as an appendix.

Last Modification : Saturday 11 December 2010

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