MASTER Topic 2014-2015 Adaptive control for ultra-fast nanopositioning Duration: 5 months, Place : Control Systems Department, Gipsa-lab Supervisors : Alina VODA, [email protected], +33476826233 Gildas BESANCON, [email protected], +33476826230 Lukasz RYBA, lukasz.ryba@@gipsa-lab.grenoble-inp.fr Description The proposed topic is about high-performance control of a nanopositioning device, to be implemented on the so-called Nano-control experimental platform developed in the Control Systems Department of Gipsa-lab (see picture below). This system aims at ultra-fast nanopositioning of a flexible micro-cantilever, which is illustrative of many applications in nano-sciences and nano-technologies. Difficult aspects to be faced in such a system (when a high performance is looked for), are related to its very fast dynamics, and consequently resonances, uncertainties, or nonlinearities which are excited, in addition to noises. Our research group already obtained very promising results for the positioning with an accuracy up to the nanometer (or even Angström), and with a bandwidth around 1 kHz, by using robust control methodologies (see references hereafter). The challenge of the present project is the positioning of the cantilever over a large interval of flexibility, going from its fixed point (with infinite rigidity) up to its most mobile part (with rigidity = 0.01 N/m). In this context, the cantilever model can be seen with a varying damping coefficient, from a damped model to a resonant one, and the purpose is then to achieve the fastest nanopositioning which can be reached. It is important to test first the limits of robust control, since such an approach can remedy to moderate parameter variations as well as neglected dynamics (high frequency). The main part of the project is the design of an adaptive robust control that should tackle the large variation of rigidity, and achieve a high bandwidth. An interesting strategy can be multi-model adaptation, based on closed-loop identification. The developed approaches will be first tested in simulation (Matlab/Simulink), on an illustrative model, before being experimentally validated. References : L. Ryba, A. Voda and G. Besançon: “An LQG/LTR approach towards piezoactuator vibration reduction with observer-based hysteresis compensation”, Proceedings of 19th IFAC World Congress, Capetown, pp.5623-28, 2014 S. Blanvillain, A. Voda, G. Besançon, and G. Buche: “Subnanometer positioning and drift compensation with tunneling current,” IEEE Transactions on Control Systems Technology, 22(2):180–189, 2013. I. Ahmad, A. Voda, G. Besançon, G. Buche: "Robust digital control approach for high performance tunneling current measurement system", Control Engineering Practice, Volume 20, Issue 7, pp. 643-653, Elsevier, 2012. A. Voda (Ed.), “Micro and nanosystems and systems on chip – Modeling, control and estimation “,Wiley, ISTE, Londres et New Jersey, 304 pages, 2010. I.D.Landau « From robust control to adaptive control » Control Eng.Practice, vol 7,no10, pp1113-1124, 1999. Narendra K.S., Balakrishnan « Adaptive control using multiple models », IEEE Tr. on Aut. Control, AC-42, pp. 171-187, 1997.
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