An iterative Sum-of-Squares optimization for static output feedback of polynomial systems

An iterative Sum-of-Squares optimization for static output feedback of polynomial systems

Baldi, S. (TU Delft Team Bart De Schutter)

Bullo, Francesco (editor)
Prieur, Christophe (editor)
Giua, Alessandro (editor)

2016

This work proposes an iterative procedure for static output feedback of polynomial systems based on Sum-of-Squares optimization. Necessary and sufficient conditions for static output feedback stabilization of polynomial systems are formulated, both for the global and for the local stabilization case. Since the proposed conditions are bilinear with respect to the decision variables, an iterative procedure is proposed for the solution of the stabilization problem. Every iteration is shown to improve the performance with respect to the previous one, even if convergence to a local minimum might occur. Since polynomial Lyapunov functions and control laws are considered, a Sum-of-Squares optimization approach is adopted. A numerical example illustrates the results.

Output feedback
Optimization
Nonlinear systems
Iterative methods
Convergence
Lyapunov methods
Symmetric matrices

http://resolver.tudelft.nl/uuid:addfee9f-bf43-4a91-ac1e-d4b8925094d8

https://doi.org/10.1109/CDC.2016.7798857

IEEE, Piscataway, NJ, USA

978-1-5090-1837-6

Proceedings of the 2016 IEEE 55th Conference on Decision and Control (CDC)

55th IEEE Conference on Decision and Control, CDC 2016, 2016-12-12 → 2016-12-14, Las Vegas, United States

Accepted Author Manuscript

Institutional Repository

conference paper

© 2016 S. Baldi