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State-space analysis and identification for a class of hysteretic systems |
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| Authors: | Reinder Banning Willem L de Koning Han J M T A Adriaens and Richard K Koops |
| Affiliation: | a Signals, Systems and Control Group, Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, Netherlands b Mathematical System Theory Group, Department of Information Technology and Systems, Delft University of Technology, 2628 CD Delft, Netherlands c ASM Lithography, 5500 AH Veldhoven, Netherlands, formerly Mathematical System Theory Group, Department of Information Technology and Systems, Delft University of Technology, 2628 CD Delft, Netherlands d NMI-Institute for Metrology and Technology, Schoemakerstraat 97, 2628 VK Delft, Netherlands, formerly Delft Institute of Microelectronics and Submicrontechnology, Department of Applied Physics, Delft University of Technology, 2628 CD Delft, Netherlands |
| Abstract: | In this paper we present results on the twin subjects of system analysis and system identification for a class of state-space realizable dynamic systems under the influence of hysteresis. The class of systems in question consists of models in the form of a linear time-invariant dynamic system in series with a differential model of hysteresis. It will be demonstrated that under fairly light constraints on the differential model of hysteresis, it is possible to design a series of experiments leading towards the identification of the full state-space realization. The approach is tested successfully on a high-precision mechanical translation system affected by hysteresis. |
| Keywords: | Hysteresis loops Non-linear systems State-space models Dynamic systems System identification |
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