Groupe d’études et de recherche en analyse des décisions

# $$H_\infty$$ Observer-Based Output Feedback Stabilization of Stochastic Hybrid Systems

## El-Kébir Boukas

This paper deals with the class of continuous-time linear stochastic systems with Markovian jumping parameters and Wiener process. $$H_\infty$$ observer-based output stabilization problem is proposed. LMIs based conditions are developed to design an observer-based feedback controller that stochastically stabilizes the studied class of systems and at the same time rejects the disturbance rejection to a desired level. The minimum disturbance rejection is also determined. A numerical example is provided to show the validness of the proposed results.

, 16 pages