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International Conference on Electrical Engineering and Control Applications

ICEECA 2016: Recent Advances in Electrical Engineering and Control Applications pp 98–113Cite as

Discrete Variable Structure Model Reference Adaptive Control for Non Strictly Positive Real Systems Using Only I/O Measurements

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 411))

Abstract

Solving the problem of unpredictable transient responses and tracking reference trajectories has recently becomes one of the challenging aspects of Model Reference Adaptive Control (MRAC). In this paper, a Discrete Variable Structure Model Reference Adaptive Control using only input output measurements (D-VS-MRAC-IO) for linear non strictly positive real systems with relative degree two and relatively important parameter variations was proposed. The D-VSMRAC- IO was designed in order to improve the performances of the MRAC control. Simulation results show a good reference trajectory tracking in spite of the presence of parameter uncertainties.

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References

  1. Mohore, S., Shukla, S.: Fuzzy based model adaptive reference controller for non linear systems. Int. J. Dig. Appl. Contemp. Res. 1(6) (2013)

    Google Scholar 

  2. Ezzeldin, M., Van Den. Bosch, P.P.J., Waarsing, R.: Improved convergence of MRAC design for printing system. In: American Control Conference, pp. 3232–3237 (2009)

    Google Scholar 

  3. Murugananadham, A., Prakash, R.: A novel model reference intelligent adaptive control using neural network and fuzzy logic controller. J. Theor. Appl. Inf. Technol. 62(1), 288–302 (2014)

    Google Scholar 

  4. Hsu, L., Araujo, A.D., Costa, R.: Analysis and design of I/O based variable structure adaptive control. IEEE Trans. Autom. Control 39(1), 4–21 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lopez, P., Nouri, A.S.: Théorie élémentaire et pratique de la commande par régimes glissants. Mathématiques et applications, vol. 55. Springer, Heidelberg (2006). SAMAI

    Google Scholar 

  6. Elkhalil, M., Ltaif, M., Nouri, A.S., Ben Abedennour, R., M’ssad, M.: Performance sampled data model reference controlenhancements using multimodel and variable structure control. In: International Conference on Automation, Robotics and Control Systems (ARCS 2008) 2008

    Google Scholar 

  7. Hsu, L.: Variable structure model-reference adaptive control (VS-MRAC) using only input and output measurements: the general case. IEEE Trans. Autom. Control 35, 1238–1243 (1990)

    Article  MATH  Google Scholar 

  8. Wen-Han, D., Xiu-Xia, S., Yan, L.: Variable structure model reference adaptive control with unknown high frequency gain sign. Acta Automatica Sincia 33(4), 404–408 (2007)

    Article  MathSciNet  Google Scholar 

  9. da Cunha, J.P.V.S., Hsu, L., Costa, R.R., Lizarralde, F.: Output-feedback model-reference sliding mode control of uncertain multivariable systems. IEEE Trans. Automatica Control 48(12), 2245–2250 (2003)

    Article  MathSciNet  Google Scholar 

  10. Trajkov, T.N., Koppe, H., Galbbert, U.: Direct model refernce adaptive control (MRAC) design and simulation for the vibration suppression of piezoelectr smart sructure. Commun. Nonlinear Sci. Numer. Simul. 13, 1896–1909 (2008)

    Article  MATH  Google Scholar 

  11. Rong, Z., De-wen, Z., Gun-chen, G.: A model adaptive variable structure controller for system with time delay. In: Chinese control and Decision conference (2009)

    Google Scholar 

  12. Hsu, L., da cunha, J.P.V.S., Costa, R.R., Lizarralde, F.: Unit vector control of multivariable systems. In: IFAC World Congress Barcelona (2002)

    Google Scholar 

  13. Tayebi, A.: Model reference adaptive iterative learning control for linear systems. Int. J. Adap. Control Sig. Process. 20, 475–489 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  14. Pourboghrat, F., Vlastos, G.: Model reference adaptive sliding control for linear systems. Comput. Electr. Eng. 28, 361–374 (2002)

    Article  MATH  Google Scholar 

  15. Fu, L.C.: A new robust MRAC using variable structure design for relative degree tow plants. Comput. Electr. Eng. Autom. 28(5), 911–925 (1992)

    MATH  Google Scholar 

  16. Elkhalil, M., Ltaif, M., Ben Abdennour, R., M’Saad, M.: Sampled data model refernce control: performance enhancements using multimodel and variable structure control. In: International Conference on Automation, Robotics and Control Sytems, ARCS 2008 (2008)

    Google Scholar 

  17. Narendra, K., Annaswamy, M.: A new adaptive law for robust adaptation without persistent excitation. IEEE Trans. Aut. Control 32, 134–145 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  18. Oliveira, J.B., Araujo, A.D., Dias, S.M.: A simplified indirect adaptive sliding mode scheme. Eng. Prac. 18, 577–584 (2010)

    Article  Google Scholar 

  19. Coman, S., Boldisor, C.: Model reference adaptive control for a DC electrical drive. Bull. Transilvanic Univ. Brasov Ser. I: Eng. Sci. 6(2), 33–38 (2013)

    Google Scholar 

  20. Xue-Jun, X., Jun-Ling, L.: A systematic analysis approach to discret time indirect model reference adaptive control. Acta Automatica Sincia 33(11), 1170–1175 (2007)

    Article  Google Scholar 

  21. Bodson, Stability, Convergence and robustness of adaptive systems, Ph. D. dissertation, University of California, Berkeley (1986)

    Google Scholar 

  22. Fei, J., Zhang, S., Zhou, J.: Adaptive sliding mode control of single phase shunt active power filter. Math. Prob. Eng. 1–22 (2012)

    Google Scholar 

  23. Egardt, B.: Stability analysis of adaptive control systems with disturbances. In: Proceedings of JACC, San Francisco (1980)

    Google Scholar 

  24. Ioannou, P.A.: Robust adaptive controller with zero residual tracking errors. IEEE Trans. Autom. Control 31, 773–776 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  25. Jain, P., Nigam, M.J.: Design of a model reference adaptive controller using modified MIT rule for a second order system. In: Advance in Electric and Electronic Engineering, vol. 3, No. 4, pp. 477–484 (2013). ISSN 2231–1297

    Google Scholar 

  26. Bianchini, G.: Synthesis of robust strictly positive real discrete-time systems with l2 parametric perturbations. IEEE Trans. Circ. Syst. I Fundam. Theor. Appl. 49, 1221–1225 (2002)

    Article  MathSciNet  Google Scholar 

  27. Tao, G., Ioannou, P.A.: Necessary and sufficient conditions for strictly positive real matrices. IEE Proc. G-Circ. Dev. Syst. 137(5), 360–366 (1990)

    Article  Google Scholar 

  28. Slotine, J.J., Li, W.: Applied nonlinear control. Prentice-Hall, Englewood Cliff (1991)

    MATH  Google Scholar 

  29. Bondarev, A.G., Bondareva, S.A., Kostyleva, N.E., Utkin, V.I.: Sliding modes in systems with asymptotic state observers. Autom. Remote Control 46(6), 679–684 (1985)

    MathSciNet  MATH  Google Scholar 

  30. Hsu, L., Costa, R.R.: Variable structure model reference adaptive control using only input and output measurement: part I. Int. J. Control 6(2), 399–416 (1989)

    MathSciNet  MATH  Google Scholar 

  31. Douratsos, I., Gomm, J.B.: Neural network based model reference adaptive control for processes with time delay. Int. J. Inf. Syst. Sci. 3(1), 161–179 (2007)

    MATH  Google Scholar 

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Acknowledgment

This work was supported by the Ministry of the Higher Education and Scientific Research Tunisia.

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Authors and Affiliations

  1. Research Unit: Numerical Control of Industrial Processes, National Engineering School of Gabes, University of Gabes, Street of Medenine, 6029, Gabes, Tunisia

    Aicha Znidi, Khadija Dehri & Ahmed Said Nouri

Authors
  1. Aicha Znidi
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  2. Khadija Dehri
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  3. Ahmed Said Nouri
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Corresponding author

Correspondence to Aicha Znidi .

Editor information

Editors and Affiliations

  1. MIS (EA 4290), Université de Picardie Jules Verne, Amiens, France

    Mohammed Chadli

  2. Laboratoire d'Automatique et de Robotiqu, Université Abbes Laghrour, Khenchela, Khenchela, Algeria

    Sofiane Bououden

  3. VŠB-Technical University of Ostrava , Ostrava ba, Czech Republic

    Ivan Zelinka

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Znidi, A., Dehri, K., Nouri, A.S. (2017). Discrete Variable Structure Model Reference Adaptive Control for Non Strictly Positive Real Systems Using Only I/O Measurements. In: Chadli, M., Bououden, S., Zelinka, I. (eds) Recent Advances in Electrical Engineering and Control Applications. ICEECA 2016. Lecture Notes in Electrical Engineering, vol 411. Springer, Cham. https://doi.org/10.1007/978-3-319-48929-2_8

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  • DOI: https://doi.org/10.1007/978-3-319-48929-2_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48928-5

  • Online ISBN: 978-3-319-48929-2

  • eBook Packages: EngineeringEngineering (R0)

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