SOS for sampled-data systems

Alexandre Seuret (1) , Matthew M. Peet (2)

1 NECS - Networked Controlled Systems
2 IIT Armour - Mechanical, Materials, and Aerospace Engineering

This article proposes a new approach to stability analysis of linear systems with sampled-data inputs. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.

Mots clés: Sampled-Data systems; Lyapunov function; Sum of squares

Domaines: Automatique / Robotique

Alexandre Seuret, Matthew M. Peet. SOS for sampled-data systems. IFAC WC 2011 - 18th IFAC World Congress, Aug 2011, Milan, Italy. pp.6. ⟨hal-00575549⟩