Abstract
In order to understand the characteristics of the positioning system, the theoretical model has been developed based on the transmission process. Then the state equation has been calculated. A part of unknown parameters are simulated by the 3D model of Pro/E software. The other unknown parameters are estimated by the system identification method. With all parameters being known, the response of the theoretical model is accordant with the actual position system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yong, Y.K., Aphale, S.S., Moheimani, S.O.R.: Design, identification, and control of a flexure-based XY, stage for fast nanoscale positioning. IEEE Trans. Nanotechnol. 8(1), 46–54 (2009)
Gao, W., Sato, S., Arai, Y.: A linear-rotary stage for precision positioning. Precis. Eng. 34(2), 301–306 (2010)
Wang, J., Zhu, C., Feng, M.: Thermal error modeling and compensation of long-travel nanopositioning stage. Int. J. Adv. Manuf. Technol. 65(1), 443–450 (2013)
Wang, J., Guo, J., Zhu, C.: System identification of a positioning stage based on theoretical modeling and an ARX model. J. Vib. Shock 32(13), 66–69 (2013)
Bertha, M., Golinval, J.C.: Identification of non-stationary dynamical systems using multivariate ARMA models. Mech. Syst. Signal Process. 88, 166–179 (2017)
Li, Y., Su, Y., Shu, L.: An ARMAX model for forecasting the power output of a grid connected photovoltaic system. Renew. Ener. 66(6), 78–89 (2014)
Magalhães, R.S., et al.: Identification of hybrid ARX–neural network models for three-dimensional simulation of a vibroacoustic system. J. Sound Vib. 330(21), 5138–5150 (2011)
Langdon, G.S., et al.: Fracture of aluminium foam core sacrificial cladding subjected to air-blast loading. Int. J. Impact Eng. 37(6), 638–651 (2010)
Nemat-Nasser, S., et al.: Experimental investigation of energy-absorption characteristics of components of sandwich structures. Int. J. Impact Eng. 34(6), 1119–1146 (2007)
Tagarielli, V.L., Deshpande, V.S., Fleck, N.A.: Prediction of the dynamic response of composite sandwich beams under shock loading. Int. J. Impact Eng 37(7), 854–864 (2010)
Acknowledgments
This project is supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission (Grant No. KJ1400936), Foundation and Frontier Research Program of Chongqing Science and Technology Commission (Grant No. cstc2016jcyjA0538).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Wang, J. (2018). Theoretical Modeling and Parameters Simulation of Positioning System. In: Qiao, F., Patnaik, S., Wang, J. (eds) Recent Developments in Mechatronics and Intelligent Robotics. ICMIR 2017. Advances in Intelligent Systems and Computing, vol 691. Springer, Cham. https://doi.org/10.1007/978-3-319-70990-1_50
Download citation
DOI: https://doi.org/10.1007/978-3-319-70990-1_50
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70989-5
Online ISBN: 978-3-319-70990-1
eBook Packages: EngineeringEngineering (R0)