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.

Original languageEnglish
Title of host publicationProceedings of the 2016 IEEE 55th Conference on Decision and Control (CDC)
EditorsFrancesco Bullo, Christophe Prieur, Alessandro Giua
Place of PublicationPiscataway, NJ, USA
ISBN (Electronic)978-1-5090-1837-6
Publication statusPublished - 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016


Conference55th IEEE Conference on Decision and Control, CDC 2016
Abbreviated titleCDC 2016
CountryUnited States
CityLas Vegas

    Research areas

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

ID: 14526288