Control of Switching Systems by Invariance Analysis (PDF)

This book presents correct-by-design control techniques for
switching systems, using different methods of stability analysis.
Switching systems are increasingly used in the electronics and
mechanical industries; in power electronics and the automotive
industry, for example. This is due to their flexibility and
simplicity in accurately controlling industrial mechanisms. By
adopting appropriate control rules, we can steer a switching system
to a region centered at a desired equilibrium point, while avoiding
"unsafe" regions of parameter saturation.

The authors explain various correct-by-design methods for control
synthesis, using different methods of stability and invariance
analysis. They also provide several applications of these methods
to industrial examples of power electronics.

Contents

1. Control Theory: Basic Concepts.

2. Sampled Switched Systems.

3. Safety Controllers.

4. Stability Controllers.

5. Application to Multilevel Converters.

6. Other Issues: Reachability, Sensitivity, Robustness and
Nonlinearity.

About the Authors

Laurent Fribourg is head of the LSV (Laboratoire
Spécification et Vérification) and Scientific Coordinator
of the Institut Farman, Institut Fédératif de Recherche
CNRS, which brings together the expertise of five laboratories from
ENS Cachan, in France, in the fields of modeling, simulation and
validation of complex systems. He has published over 70 articles in
international journals and reviewed proceedings of international
conferences, in the domain of the theory of formal methods and
their industrial applications.

Romain Soulat is in the third year of his doctorate at the LSV at
ENS Cachan in France, under the supervision of Laurent Fribourg. He
is working on the modeling and verification of hybrid systems. In
particular, his interests concern robustness in scheduling problems
- especially as part of a collaborative project with EADS
Astrium on the verification of a component in the launcher for the
future Ariane 6 rocket. He has published 5 articles in reviewed
proceedings of international conferences.