Hybrid Observer Design Methodology

This report is the second deliverable D7.2 of Work Package WP7 of the HYBRIDGE Project. The main contributions of D7.2 is a review of the concept of observability for hybrid systems and the presentation of a new approach to observability and observer design for hybrid systems. The ...rst part of the report deals with a formal de...nition of hybrid system that is used to present in a uni...ed framework the special cases that have been addressed in the literature on hybrid systems. This report presents the research e¤orts in the area of stochastic hybrid systems in the uni...ed framework. Then it focuses on classes of hybrid systems for which some results on observability are available. Using the limitations of these approaches as a spring board, the report deals with a new approach to the de...nition of observability for hybrid systems that is at the same time more general and consistent with the classical results on continuous–time dynamical systems.