Adaptive Sliding Mode Recurrent Fuzzy Neural Network Estimator in Magnetic Bearing System

Abstract:

This paper proposesd am adaptive sliding mode fuzzy neural network estimation (ASFNE) in the magnetic bearing system (MBS). The fuzzy neural network estimator has fuzzy rules base and neural network weights which the stability is proved by Lyapunov theorem in ASFNE. Therefore, ASFNE estimates system lump uncertainty to improve steady-state error and reduced chattering phenomenon. Finally, we compared ASFNE and sliding mode controller in MBS which ASFNE has better output responses.

• Periodical: Applied Mechanics and Materials (Volumes 543-547)
• Pages: 1487-1491
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.543-547.1487
• Online since: March 2014
• Authors: Huann Keng Chiang*, Chao Ting Chu, Tzu Chieh Lin
• Keywords: Estimator, Magnetic Bearing Systems, Neural Network (NN), Sliding Mode Controller

References

[1] S. Y. Chen, F. J. Lin, Robust nonsingular terminal sliding-mode control for nonlinear magnetic bearing system, IEEE Transactions on Control Systems Technology, Vol. 19, No. 3 (2011), pp.636-643.

DOI: 10.1109/tcst.2010.2050484

[2] F. J. Lin, S. Y. Chen, K. K. Shyu, Y. H. Liu, Intelligent complementary sliding-mode control for LUSMs-based x-y-z motion control stage, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 57, No. 7 (2010), pp.1626-1640.

DOI: 10.1109/tuffc.2010.1593

[3] F. J. Lin, S. Y. Chen, K. K. Shyu, Robust dynamic sliding-mode control using adaptive RENN for magnetic levitation system, IEEE Transactions on Neural Networks, Vol. 20, No. 6 (2009), pp.938-951.

DOI: 10.1109/tnn.2009.2014228

[4] X. Li, W. Yu, Neural sliding mode control for magnetic levitation systems, IEEE International Conference on Control Applications (CCA) (2010), pp.615-619.

DOI: 10.1109/cca.2010.5611100

[5] W. Y. Wang, M. L. Chan, C. -C. J. Hsu, T. T. Lee, Tracking-based sliding mode control for uncertain nonlinear systems via an adaptive fuzzy-neural approach, IEEE Transactions on Systems Man and Cybernetics, Part B: Cybernetics, Vol. 32, No. 4 (2002).

DOI: 10.1109/tsmcb.2002.1018767

[6] R. J. Wai, J. D. Lee, Adaptive fuzzy-neural-network control for maglev transportation system, IEEE Transactions on Neural Network, Vol. 19, No. 4 (2008), pp.54-70.

DOI: 10.1109/tnn.2007.900814

[7] R. Z. Lin, C. F. Hsu, T. T. Lee, C. H. Wang, Robust fuzzy-neural sliding-mode controller design via network structure adaptation, IEEE Transactions on Control Theory & Applications, Vol. 2, No. 12 (2008), pp.1054-1065.

DOI: 10.1049/iet-cta:20070315

[8] G. Schweitzer and H. Eric Maslen, Magnetic bearings : theory, design, and application to rotating machinery . Berlin: Springer-Verlag, (2009).

DOI: 10.1007/978-3-642-00497-1

[9] K. S. Narendra and A. M. Annaswamy, Stable adaptive systems, Prentice-Hall, Englewood (1998).