Team CONGE

Members
Overall Objectives
Scientific Foundations
Application Domains
Contracts and Grants with Industry
Other Grants and Activities
Bibliography

## Section: New Results

### Observers

Participants : Jean-Claude Vivalda, Sabeur Ammar, Mohamed Mabrouk.

We studied the genericity of the observability for discrete-time systems written as:

where xk belongs to a compact manifold and yk is in . Consider the following mapping:

where

We already prove that mapping is, generically, one to one; we recently proved that, generically, it is also an embedding, an article on this subject is in preparation. Another subject of interest is the design of observers for mechanical systems: for some systems with two degrees of freedom, we are able, under some conditions, to exhibit a change of variables which makes the system triangular and allows the construction of an observer which converges exponentially for bounded feedback.

Logo Inria