52nd IEEE Conference on Decision and Control 2013
DOI: 10.1109/cdc.2013.6759905
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Model-free control of a 3-DOF piezoelectric nanopositioning platform

Abstract: A model-free controller is designed for a nanopositioning platform with three degrees of freedom. The system is specially difficult to control because of the coupling between the different movements and the hysteresis present in the piezoelectric actuators. The authors propose a control design methodology based on the so called ultra-local system description. The developed controller has been implemented and validated on a real test bench and it has proven a good performance in handling the nonlinearities and … Show more

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Cited by 8 publications
(5 citation statements)
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“…The literature presents some particular control algorithms that do not rely on modeling. For instance, the model-free control (MFC) approach proposed by Fliess and Join 29 has been successfully illustrated in different concrete case-studies varying from wastewater denitrification, 30 nanopositioning of piezoelectric systems 31 up to inflammation resolution in biomedical applications, 32 see also its references for additional case-study examples and supplementary information. Some research works based on MFC techniques have led to patents, such as Join et al 33 and Abouaı¨ssa et al 34 This control approach has been applied in the aerospace field 35,36 and, except for our previous work, it has never been applied on hybrid MAVs which is an additional motivation for the development of our research project.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The literature presents some particular control algorithms that do not rely on modeling. For instance, the model-free control (MFC) approach proposed by Fliess and Join 29 has been successfully illustrated in different concrete case-studies varying from wastewater denitrification, 30 nanopositioning of piezoelectric systems 31 up to inflammation resolution in biomedical applications, 32 see also its references for additional case-study examples and supplementary information. Some research works based on MFC techniques have led to patents, such as Join et al 33 and Abouaı¨ssa et al 34 This control approach has been applied in the aerospace field 35,36 and, except for our previous work, it has never been applied on hybrid MAVs which is an additional motivation for the development of our research project.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Although most of the controls described in the literature, are designed according to a modelling process, we can mention some particular techniques where the controller does not rely on modelling. For instance, the model-free control approach proposed by [22] that have been successfully used in different concrete case-studies varying from wastewater denitrification [23], nanopositioning of piezoelectric systems [24] up to inflammation resolution in biomedical applications [25], see also its references for additional case-study examples and supplementary information. Some research works based on model-free control techniques has been led to patents, such as [26] [27].…”
Section: B Links With Model-free Control Algorithmmentioning
confidence: 99%
“…The importance of this topic is highlighted by the following fact: the literature on theoretical advances and on the connections with many case-studies contains several thousands of publications! This communication relates stability margins to the recent modelfree control and the corresponding intelligent PIDs [4], which were already illustrated by many concrete and varied applications (see, e.g., the numerous references in [4], and, during the last months, [3], [14], [17], [19], [20], [21], [24], [29], [30]).…”
Section: Introductionmentioning
confidence: 97%