Fuzzy Sliding Mode Observer for Vehicular Attitude Heading Reference System

Jafar Keighobadi; Parisa Doostdar

doi:10.4236/pos.2013.43022

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Fuzzy Sliding Mode Observer for Vehicular Attitude Heading Reference System

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DOI: 10.4236/pos.2013.43022 3,547 Downloads 5,648 Views Citations

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Jafar Keighobadi, Parisa Doostdar

Affiliation(s)

Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran..

ABSTRACT

In low-cost Attitude Heading Reference Systems (AHRS), the measurements made by Micro Electro-Mechanical Systems (MEMS) type sensors are affected by uncertainties, noises and unknown disturbances. In this paper, considering the robustness of sliding mode observers against structured and unstructured uncertainties, and also exogenous inputs, the process of design and implementation of a sliding mode observer (SMO) is proposed based on a linearized model of the AHRS. To decrease the chattering phenomenon is the main difficulty of the SMO. Through smoothing the discontinuity term, the tracking performance of the observer is attenuated. Boundary layer technique, for example, using a saturation term, is the common smoother to remove the chattering drawbacks. However, through poor tracking performance, the high range chattering could not be removed by this method. Therefore, a knowledge-based Mamdani-type fuzzy SMO (FSMO) is proposed to decrease the chattering effects intelligently, which in turn could obtain the high accuracy tracking performance of the SMO. Following proving the stability of the proposed SMOs based on direct Lyapunov’s method, the performance of the proposed observers is compared with that of the extended Kalman filter through simulation and real experiments of an AHRS.

KEYWORDS

Sliding Mode Observer; Fuzzy Estimation; Kalman Filter; Attitude Heading Reference System

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Keighobadi and P. Doostdar, "Fuzzy Sliding Mode Observer for Vehicular Attitude Heading Reference System," Positioning, Vol. 4 No. 3, 2013, pp. 215-226. doi: 10.4236/pos.2013.43022.

References

[1]	H. Jing, Q. Jing, Z. Changfan and L. Cheng, “Design of Sliding Mode Observer for Uncertain Nonlinear Systems,” Proceedings of the 7th WCICA, Chongqing, 25-27 June 2008, pp. 1720-1723.

[2]	B. L. Walcott, M. J. Corless and S. H. Zak, “Comparative Study of Nonlinear State-Observation Techniques,” International Journal of Control, Vol. 45, No. 6, 1987, pp. 2109-2132. doi:10.1080/00207178708933870

[3]	E. A. Misawa and J. K. Hedrick, “Nonlinear Observers, a State of the Art Survey,” Journal of Dynamic System, Measurement, and Control, Vol. 111, No. 3, 1989, pp. 344-351. doi:10.1115/1.3153059

[4]	C. Edwards and S. Spiirgeon, “On the Development of Discontinuous Observers,” International Journal of Control, Vol. 59, 1994, pp. 1211-1229. doi:10.1080/00207179408923128

[5]	V. I. Utkin, “Sliding Modes in Control Optimization,” Springer-Verlag, New York, 1992. doi:10.1007/978-3-642-84379-2

[6]	S. V. Drakunov, “Sliding Mode Observers Based on Equivalent Control Method,” Proceedings of the 31st lEEE Conference on Decision Control, Tucson, 16-18 December 1992, pp. 2368- 2369.

[7]	J. J. E. Slotine and W. Li, “Applied Nonlinear Control,” 2nd Edition, Prentice Hall, Englewood, Cliffs, 1991.

[8]	M. Roopaei and M. Zolghadri, “Chattering-Free Fuzzy Sliding Mode Control in MIMO Uncertain Systems,” Nonlinear Analysis, Vol. 71, No. 10, 2009, pp. 4430-4437. doi:10.1016/j.na.2009.02.132

[9]	J. Keighobadi and M. B. Menhaj, “From Nonlinear to Fuzzy Approaches in Trajectory Tracking Control of Wheeled Mobile Robots,” Asian Journal of Control, Vol. 14, No. 4, 2011, pp. 960-973. doi:10.1002/asjc.480

[10]	J. Keighobadi, “Fuzzy Calibration of a Magnetic Compass for Vehicular Applications,” Mechanical Systems and Signal Processing, Vol. 25, No. 6, 2011, pp. 1973-1987.

[11]	H. T. Yau and C. L. Chen, “Chattering-Free Fuzzy Sliding-Mode Control Strategy for Uncertain Chaotic Systems,” Chaos Solitons Fractals, Vol. 30, No. 3, 2006, pp. 709-718. doi:10.1016/j.chaos.2006.03.077

[12]	D. H. Titterton and J. L. Weston, “Strapdown Inertial Navigation Technology”, 2nd Edition, AIAA and IEE, Sevenage, 2004. doi:10.1049/PBRA017E

[13]	R. M. Rogers, “Applied Mathematics in Integrated Navigation Systems,” 2nd Edition, AIAA Series, Virginia, 2003.

[14]	R. P. G. Collinson, “Introduction to Avionic Systems,” 2nd Edition, Kluwer Academic Publishers, Boston, 2003. doi:10.1007/978-1-4419-7466-2

[15]	TeKnol Ltd., COMPANAV-2, “Integrated MEMS INS/ GPS System for Aviation Applications,” 2007. http://www.teknol.ru/pdf/en/CN-2_overview_en.pdf