## Section: Bilateral Contracts and Grants with Industry

### Safran Electronics & Defense

Within the CIFRE PhD thesis (2014-2018) [15],
we have studied new robust stabilization techniques for gyrostabilized systems with unfixed model parameters (e.g. modes, masses,
stiffness of springs, damper magnitudes). Parameters of their models
indeed slowly change with the temperature, fatigue, etc., yielding
time-consuming re-computations of robust controllers. Moreover, the
possibility to quickly know robustness indicators (e.g. margins) and
explicit robust controllers in terms of the model parameters can
highly speed up the design of a project. Finally, closed-form
solutions for robust controllers in terms of the model parameters are
the first steps towards the development of adaptive robust controllers
which can be embedded in gyrostabilized platforms since no
optimization algorithms are then required for a real-time
implementation and only the parameters have to be estimated from time
to time to re-compute the robust controller (based on a basic
arithmetic). To do that, we have introduced algebraic methods and
computer algebra techniques to initiate a new approach entitled
*parametric robust control*. For mor details, see
[15] and
[98], [100], [99]. This new approach will be further
developed in the future since it opens both theoretical and
practical interesting questions. In particular, the new PhD thesis of Grace in GAIA aims to study the underlying mathematical problem from both a theoretical and an implementation perspectives.