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.