A Heuristic Control Algorithm for Robust Internal Model Control with Arbitrary Reference Model

  • M. G. Skarpetis
  • F. N. Koumboulis
  • A. S. Ntellis
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 283)

Abstract

In this chapter the problem of Robust Internal Model Control is considered for the case of linear plants with nonlinear uncertain structure. The reference command is produced by an arbitrary reference model. A finite step Heuristic Algorithm is proposed in order to derive the controller parameters that guarantee robust performance under the proposed solvability conditions. The proposed controller is successfully applied to a hydraulic actuator uncertain model including uncertain parameters arising from changes of the operating conditions and other physical reasons. The satisfactory performance of hydraulic actuator variables for all the expected range of the actuator model uncertainties and external disturbances is illustrated via simulation experiments.

Keywords

Robust internal model control Arbitrary reference command tracking Hydraulic actuator 

Notes

Acknowledgments

The present research is implemented through the Operational Program “Education and Lifelong Learning” and is co-financed by the European Union (European Social Fund) and Greek national funds (Archimedes III-Strengthening Research Groups in Technological Education, NSRF 2007–2013).

References

  1. 1.
    Chen, C.T.: Linear System Theory and Design. Holt, Rinehart and Winston, New York (1984)Google Scholar
  2. 2.
    Horowitz, I.M.: Synthesis Feedback Systems. Academic Press, New York (1963)Google Scholar
  3. 3.
    Dorf, R.C., Bishop, R.H.: Modern Control Systems. 9th edn. Prentice Hall, Upper Saddle River (2001)Google Scholar
  4. 4.
    Goodwin, G.C., Graebe, S.F., Salgado M.E.: Control System Design. Prentice Hall, Upper Saddle River (2001)Google Scholar
  5. 5.
    Corless, M.J., Leitmann, G., Ryan, E.P.: Tracking in the Presence of Bounded Uncertainties, Presented at the 4th International Conference on Control Theory, Cambridge, UK (1984)Google Scholar
  6. 6.
    Skarpetis, M.G., Koumboulis, F.N., Ntellis, A.: Robust asymptotic output tracking for four-wheel-steering vehicles. In: IEEE International Conference on Mechatronics, (ICM 2006), 3–5 July 2006, Budapest, Hungary, pp. 488–492 (2006)Google Scholar
  7. 7.
    Skarpetis, M.G., Koumboulis, F.N., Ntellis, A.: Robust tracking and disturbance attenuation controllers for automatic steering. In: 14th IEEE Mediterranean Conference on Control and Automation (MED’06), 28–30 June 2006, Ancona, Italy (2006)Google Scholar
  8. 8.
    Skarpetis, M.G., Koumboulis F.N., Tzamtzi, M.P.: Robust control techniques for hydraulic actuators. In: Proceedings of 15th MED Conference on Control and Automation, Athens, Greece (2007)Google Scholar
  9. 9.
    Karpenko, M., Shapehri, N.: Fault—tolerant control of a servohydraulic positioning system with crossport leakage. IEEE Trans. Contr. Syst. Technol. 13, 155–161 (2005)CrossRefGoogle Scholar
  10. 10.
    Koumboulis, F.N., Skarpetis, M.G., Tzamtzi, M.P.: Robust PI controllers for command following with application to an electropneumatic actuator. In: Proceedings of the 14th Mediterranean Conference on Control Automation, Ancona, Italy (2006)Google Scholar
  11. 11.
    Koumboulis, F.N., Skarpetis, M.G., Tzamtzi, M.P.: Robust PID controller design with application to a flight actuator. In: Proceedings of the 32nd Annual Conference of the IEEE Industrial Electronics Society (IECON’06), pp. 4725–4730 (2006)Google Scholar
  12. 12.
    Koumboulis, F.N., Skarpetis, M.G., Mertzios, B.G.: Robust regional stabilization of an electropneumatic actuator. IEEE Proc. Part D Control Theory Appl. 145, 226–230 (1998)CrossRefGoogle Scholar
  13. 13.
    Koumboulis, F.N., Tzamtzi, M. P.: A metaheuristic approach for controller design of multivariable processes. In: 12th IEEE International Conference on Emerging Technologies and Factory Automation, 25–28 Sept. 2007, Patras, Greece, pp. 1429–1432 (2007)Google Scholar
  14. 14.
    Skarpetis, M.G., Koumboulis, F.N., Ntellis, A.: Robust arbitrary reference command tracking with application to hydraulic actuators. In: Proceedings of the 9th International Conference on Informatics in Control Automation and Robotics, pp. 94–102 (2012)Google Scholar
  15. 15.
    Wei, K., Barmish, R.: Making a polynomial Hurwitz invariant by choice of feedback gain. Int. J. Contr. 50, 1025–1038 (1989)CrossRefMATHMathSciNetGoogle Scholar
  16. 16.
    Koumboulis, F.N., Skarpetis, M.G.: Input–Output decoupling for linear systems with non-linear uncertain structure. J. Franklin Inst. 333(B), 593–624 (1996)Google Scholar
  17. 17.
    Koumboulis, F.N., Skarpetis, M.G.: Robust triangular decoupling with application to 4WS cars. IEEE Trans. Autom. Control 45, 344–352 (2000)CrossRefMATHMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • M. G. Skarpetis
    • 1
  • F. N. Koumboulis
    • 1
  • A. S. Ntellis
    • 1
  1. 1.Department of AutomationHalkis Institute of TechnologyHalkisGreece

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