Course Description

The goal of the course is to provide good knowledge and practice the ability to use classical as well as modern analysis and design methods for nonlinear control systems.

The course is open for all PhD students and gives 7.5 ECTS credits.

Syllabus:

  • Lyapunov theory for autonomous and time-varying systems
  • Small-gain theory
  • Absolute stability
  • Integral quadratic constraints
  • Passivity
  • Center manifold theorem,
  • Stability of periodic and perturbed systems
  • Averaging, Singular perturbations, Geometric control theory
  • Feedback linearization
  • Nonlinear design tools (backstepping, high gain control)

Previous incarnations of the course can be found here:

https://www.control.lth.se/education/doctorate-program/nonlinear-control-theory/nonlinear-control-theory-2017/ Links to an external site.