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Journal of Applied Nonlinear Dynamics 3(3) (2014) 215--226 | DOI:10.5890/JAND.2014.09.002

Firas Khemane, Rachid Malti†, and Xavier Moreau

Universit´e de Bordeaux, Laboratoire de l’Int´egration du Mat´eriau au Syst`eme – UMR-CNRS 5218

351 cours de la lib´eration – 33405 Talence, France

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Abstract

This paper is the second part of a study related to modeling drivers dynamics in the overall driving loop in the context of disturbance rejection and trajectory tracking. After a brief description of the experimental set-up, a fractional model for steering feel and visual feedback cases are proposed, and their parameters estimated. As expected in human reaction, data recorded from different experiments present a considerable dispersion, due to varying human reactions from one experiment to another. Such time-variant systems can be modeled using set membership methods which allow identifying a set of feasible models for healthy persons.

References

1. [1]	Wakita, T., Ozawa, K., Miyajima, C., Igarashi, K., Itou, K., Takeda, K., and Itakaru, F. (2005), Driver

2. [2]	Amberkar, S., Bolourchi, F., Demerly, J., and Millsap, S. (2004), A control system methodology for steer

3. [3]	Van Der Helm, F.C.T., Schouten, A.C., Vlugt, E.d., and Brouwn, G.G. (2002), Identification of intrinsic

4. [4]	Speich, J.E., Shao, L., and Goldfarb, M. (2005), Modeling the human hand as it interacts whith a telemanipulation

5. [5]	Copot, C., Ionescu, C.M. , and DeKeyser, R. (2013), Fractional order level control of a system with communicating

6. [6]	Abi, R., Daou, Z., Moreau, X., and Francis, C. (2013), Control of a hydro-electromechanical system using

7. [7]	Erjaee, G.H., Ostadzad, M.H., Okuguchi, K., and Rahimi, E. (2013), Fractional differential equations system

8. [8]	Bazargan, A.H., Mehrandezh, M., and Dai, L. (2013), On dynamics and control of an adaptable wheeled

9. [9]	Mathieu, B., Oustaloup, A., and Levron, F. (1995), Transfer function parameter estimation by interpolation

10. [10]	Le Lay, L. (1998), Identification fr´equentielle et temporelle par mod`ele non entier, PhD thesis, Universit´e

11. [11]	Val´erio, D., and da Costa, J.S.(2007), Advances in Fractional Calculus Theoretical Developments and Applications

12. [12]	Khemane, F., Malti, R., Thomassin, M., and Ra¨ıssi, T. (2008), Set membership estimation of fractional

13. [13]	Malti, R., Ra¨ıssi, T., Thomassin, M., and Khemane, F. (2009), set membership parameter estimation

14. [14]	Khemane, F., Malti, R., Ra¨ıssi, T., and Moreau, X. (2012), Robust estimation of fractional models in the

15. [15]	Khemane, F., Malti, R., Moreau, X., Ra¨ıssi, T., and Thomassin, M. (2010), Comparison between two set

16. [16]	Moreau, X., Khemane, F., Malti, R., and Mermoz, J.L. (2011), Fractional modeling of driver’s dynamics.

17. [17]	Matignon, D. (1998), Stability properties for generalized fractional differential systems. ESAIM proceedings - Syst`emes Diff´erentiels Fractionnaires - Mod`eles, M´ethodes et Applications, 5.

18. [18]	Moore, R.E. (1966), Interval analysis, Prentice-Hall, Englewood Cliffs, NJ.

19. [19]	Bendat, J.S., and Piersol, A.G. (2000), Random Data Analysis and Measurement Procedures, Wiley Series

20. [20]	Antoni, J. and Schoukens, J. (2007), A comprehensive study of the bias and variance of frequency-responsefunction

21. [21]	Jaulin, L. and Walter, E. (1993), Set inversion via interval analysis for nonlinear bounded-error estimation,

22. [22]	Chabert, G. and Jaulin, L. (2009), Contractor programming, Artificial Intelligence.

23. [23]	Jaulin, L. and Chabert, G. (2008), Quimper : un langage de programmation pour le calcul ensembliste;

24. [24]	Reynet, O., Jaulin, L., and Chabert, G. (2009), Robust tdoa passive location using interval analysis and