Robust Pole Placement Controller Design for Flexible Transmission System

S.T. Impram, M. Ayala Botto, and J. S´ da Costa

References

  1. [1] J. Ackermann, Robust control: Systems with uncertain physicalparameters (London: Springer-Verlag, 1993).
  2. [2] M.T. S¨oylemez, Pole assignment for uncertain systems (UMISTControl Systems Centre Series), (Baldock, UK: Research Studies Press, 1999).
  3. [3] R.J. Evans & X. Xianya, Robust regulator design, Int. Journalof Control, 41, 1985, 461–476. doi:10.1080/0020718508961139
  4. [4] Y.C. Soh, R.J. Evans, I.R. Petersen, & R.E. Betz, Robust poleassignment, Automatica, 23, 1987, 601–610. doi:10.1016/0005-1098(87)90055-0
  5. [5] Y.C. Soh, Robust pole-placement for uncertain interval systems, IEE Proc. Control Theory and Applications, 136, 1989, 301–306.
  6. [6] J.H. Chou, S.J. Ho, & I.R. Horng, Pole assignment robustnessin a specific disc, Systems and Control Letters, 16, 1991, 41–44. doi:10.1016/0167-6911(91)90027-C
  7. [7] G. Garcia & J. Bernussou, Pole assignment for uncertainsystems in a specified disk by state feedback, IEEE Trans. onAutomatic Control, 40(1), 1995, 184–190. doi:10.1109/9.362872
  8. [8] G. Garcia, J. Daafouz, & J. Bernussou, Output feedback diskpole assignment with positive real uncertainty, IEEE Trans.on Automatic Control, 41, 1996, 1385–1391. doi:10.1109/9.536516
  9. [9] L.H. Keel, S.P. Bhattacharyya, & J.W. Howze, Robust controlwith structured perturbations, IEEE Trans. on AutomaticControl, 33, 1988, 68–78. doi:10.1109/9.362
  10. [10] M.K. Solak & A.C. Peng, A note on robust pole placement,IEEE Trans. on Automatic Control, 40, 1995, 181–184. doi:10.1109/9.362873
  11. [11] M. Chilali, P. Gahinet, & P. Apkarian, Robust pole placementin LMI regions, IEEE Trans. on Automatic Control, 44(12),1999, 2257–2270. doi:10.1109/9.811208
  12. [12] M.K. Solak, Robust pole-placement in discrete-time systems,Proc. American Control Conf., Vol. 1, Baltimore, MD, 1994, 756–760. doi:10.1109/ACC.1994.751843
  13. [13] M.E. Halpern, R.J. Evans, & R.D. Hill, Pole assignment withrobust stability, IEEE Trans. on Automatic Control, 40, 1995, 725–729. doi:10.1109/9.376100
  14. [14] B.S. Kim, H.S. Han, & J.G. Lee, Pole placement of uncertaindiscrete systems in the smallest disk by state feedback, Proc.IEEE Conf. on Decision and Control, Vol. 4, Kobe, Japan,1996, 4558–4563. doi:10.1109/CDC.1996.577585
  15. [15] M.T. Söylemez & N. Munro, Robust pole assignment in uncertain systems, IEE Proc. Control Theory and Applications,144, 1997, 217–224. doi:10.1049/ip-cta:19970892
  16. [16] I.D. Landau, D. Rey, A. Karimi, A. Voda, & A. Franco, Aflexible transmission system as a benchmark for robust digitalcontrol, European Journal of Control, 1, 1995, 77–96.
  17. [17] H. Kwakernaak, Symmetries in control system design, in A.Isidori (Ed.), Trends in Control—A European Perspective(London, UK: Springer-Verlag, 1995).
  18. [18] Y. Le Gorrec, J.-F. Magni, & C. Chiappa, Flexible transmission system controlled by modal dynamic feedback, EuropeanJournal of Control, 3, 1997, 227–234.
  19. [19] I.D. Landau & A. Karimi, Robust digital control using poleplacement with sensitivity function shaping method, Int. Journal of Robust and Nonlinear Control, 8, 1998, 191–210. doi:10.1002/(SICI)1099-1239(199802)8:2<191::AID-RNC323>3.0.CO;2-J
  20. [20] I. Dardenne & G. Ferreres, Robust control synthesis for flexiblesystems, Proc. IEEE Int. Conf. on Control Applications, Vol.2, Trieste, Italy, 1998, 843–847.
  21. [21] I.D. Landau, From robust control to adaptive control, ControlEngineering Practice, 7, 1999, 1113–1124. doi:10.1016/S0967-0661(99)00076-3
  22. [22] G. Ferreres & V. Fromion, H∞ control for a flexible transmissionsystem, European Journal of Control, 5, 1999, 185–192.
  23. [23] J. Langer & A. Constantinescu, Pole placement design using convex optimisation criteria for the flexible transmission benchmark, European Journal of Control, 5, 1999, 193–207.
  24. [24] A. Karimi & I.D. Landau, Robust adaptive control of a flexibletransmission system using multiple models, IEEE Trans. onControl Systems Technology, 8, 2000, 321–331. doi:10.1109/87.826803
  25. [25] M. Ayala Botto, R. Babuška, & J. Sá da Costa, Discrete-time robust pole-placement design through global optimization,Proc. 15th IFAC World Congress, Barcelona, Spain, 2002.
  26. [26] K. Ogata, Discrete-time control systems (Englewood Cliffs,NJ: Prentice-Hall, 1987).
  27. [27] D. Goldberg, Genetic algorithms in search, optimization, andmachine learning (Reading, MA: Addison-Wesley, 1989).

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