Model-Reference Adaptive Control with Perturbation Estimation

  • Qingsong XuEmail author
  • Kok Kiong Tan
Part of the Advances in Industrial Control book series (AIC)


This chapter presents the design and testing of a model-reference adaptive control (MRAC) scheme to compensate for the hysteresis effect of a class of piezo-actuated systems, which possess a second-order nominal model.


Tracking Error Controller Parameter Flexure Hinge Voice Coil Motor Perturbation Estimation 
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  1. 1.
    Cheng, C.C., Chang, C.C., Su, T.M.: Design of model reference adaptive tracking controllers for mismatch perturbed nonlinear systems with input nonlinearity. In: Proceedings of 17th IFAC World Congress, pp. 5974–5979. Seoul, Korea (2008)Google Scholar
  2. 2.
    Demetriou, M.A., Fahroo, F.: Model reference adaptive control of structurally perturbed second-order distributed parameter systems. Int. J. Robust Nonlinear Control 16(16), 773–799 (2006)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Elmali, H., Olgac, N.: Implementation of sliding mode control with perturbation estimation (SMCPE). IEEE Trans. Control Syst. Technol. 4(1), 79–85 (1996)CrossRefGoogle Scholar
  4. 4.
    Ioannou, P.A., Sun, J.: Robust Adaptive Control. Prentice Hall, New Jersey (1996)zbMATHGoogle Scholar
  5. 5.
    Kim, J.Y., Bentsman, J.: Disturbance rejection in robust model reference adaptive control of parabolic and hyperbolic systems. In: Proceedings of 45th IEEE Conference on Decision and Control, pp. 3083–3088. San Diego, CA, USA (2006)Google Scholar
  6. 6.
    Li, Y., Xu, Q.: Hysteresis modeling and compensation for an XY micropositioning stage with model reference adaptive control. In: Proceedings of 48th IEEE Conference on Decision and Control, pp. 5580–5585. Shanghai, China (2009)Google Scholar
  7. 7.
    Liu, Y.T., Chang, K.M., Li, W.Z.: Model reference adaptive control for a piezo-positioning system. Precis. Eng. 34(1), 62–69 (2010)CrossRefGoogle Scholar
  8. 8.
    Narendra, K.S., Annaswamy, A.M.: Stable Adaptive Systems. Prentice Hall, New Jersey (1989)zbMATHGoogle Scholar
  9. 9.
    Tuma, T., Haeberle, W., Rothuizen, H., Lygeros, J., Pantazi, A., Sebastian, A.: A dual-stage nanopositioning approach to high-speed scanning probe microscopy. In: Proceedings of 51st IEEE Conference on Decision and Control, pp. 5079–5084. Maui, HI, USA (2012)Google Scholar
  10. 10.
    Xu, Q.: Design and development of a flexure-based dual-stage nanopositioning system with minimum interference behavior. IEEE Trans. Autom. Sci. Eng. 9(3), 554–563 (2012)CrossRefGoogle Scholar
  11. 11.
    Xu, Q., Jia, M.: Model reference adaptive control with perturbation estimation for a micropositioning system. IEEE Trans. Control Syst. Technol. 22(1), 352–359 (2014)MathSciNetCrossRefGoogle Scholar
  12. 12.
    Xu, Q., Li, Y.: Analytical modeling, optimization and testing of a compound bridge-type compliant displacement amplifier. Mech. Mach. Theory 46(2), 183–200 (2011)CrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Electromechanical EngineeringUniversity of MacauMacauChina
  2. 2.Department of Electrical and Computer EngineeringNational University of SingaporeSingaporeSingapore

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