전기학회논문지 (The Transactions of The Korean Institute of Electrical Engineers)

  • 제59권2호
  • /
  • Pages.411-416
  • /
  • 2010
  • /
  • 1975-8359(pISSN)
  • /
  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지
DOI QR코드

DOI QR Code

부정합 시스템 행렬 불확실성을 갖는 시스템을 위한 정적 출력 궤환 적분 가변 구조 제어기

A Static Output Feedback Integral Variable Structure Controller for Uncertain Systems with Unmatched System Matrix Uncertainty

  • 이정훈 (경상대학교 공대 전기전자공학부 제어계측공학과)
  • 발행 : 2010.02.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, an integral variable structure static output feedback controller with an integral-augmented sliding surface is designed for the improved robust control of a uncertain system under unmatched system uncertainty and matched input matrix uncertainty and disturbance satisfying some conditions. To effectively remove the reaching phase problems, an output dependent integral augmented sliding surface is proposed. Its equivalent control and ideal sliding mode dynamics are obtained. The previous some limitations is overcome in this systematic design. A stabilizing control with the closed loop exponential stability is designed for all unmatched system matrix uncertainties and proved together with the existence condition of the sliding mode on S=0. To show the usefulness of the algorithm, a design example and computer simulations are presented.

키워드

참고문헌

  1. V. L. Syrmos, C. T. Abdallaah, P. Dorato, and K. Grigoriadis, "Static Output Feedback-A Survey," Automatica, vol.33 no.2 pp.125-137, 1997. https://doi.org/10.1016/S0005-1098(96)00141-0
  2. S. V. Emelyanov, S. K. Korovin, A. L. Nersisian, and Y. E. Nisenzon, "Output Feedback Stabilization of Uncertain Plants: A Variable Structure systems Approach," I. J. Control, vol.55, on.1 pp.61-81, 1992 https://doi.org/10.1080/00207179208934226
  3. J. L. Chang, "Dynamic Output Integral Sliding Mode Control with Disturbance Attenuatoin," IEEE T. on Automatic Control, vol.54 no.11, pp.2653-2658, 2009 https://doi.org/10.1109/TAC.2009.2031569
  4. E. J. Davision and S. H. Wang, "On Pole Assignment in Linear Multivariable System Using Output Feedback," IEEE T. on Automatic Control, vol.20, pp.516-518, 1975 https://doi.org/10.1109/TAC.1975.1101023
  5. V.I. Utkin,, Sliding Modes and Their Application in Variable Structure Systems. Moscow, 1978.
  6. Decarlo, R.A., Zak, S.H., and Mattews, G.P., "Variable Structure Control of Nonlinear Multivariable Systems: A Tutorial," Proc. IEEE, 1988, 76, pp.212-232.
  7. B. A. White, "Some Problems in Output Feedback in Variable Structure Control Systems," in Proc. 7th IFAC/IFORS : also in Identification and system Parameter Estimation, 1985 York, UK Pergamon Press, pp.1921-1925, Oxford 1985.
  8. Y. C. Chen, P. L. Lin, and S. Chang, "Design of Output Tracking via Variable Structure System: for Plants with Redundant Inputs," IEE Proc.-D vol.139 no.4 pp.421-428, 1992. https://doi.org/10.1049/ip-d.1992.0053
  9. H. Elmali and N. Olgac, "Robust Output Tracking control of Nonlinear MIMO System via Sliding Mode Technique," Automatica, vol.28 no.1 pp.145-151, 1992. https://doi.org/10.1016/0005-1098(92)90014-7
  10. S. H. Zak and S. Hui, "On Variable Structure Output Feedback Controllers for Uncertain Dynamic Systems," IEEE T. on Automatic Control, vol.38, no.10 pp.1509-1512, 1993. https://doi.org/10.1109/9.241564
  11. C. Edwards and S. K. Spurgeon, "Sliding Mode Stabilization of Uncertain System Using Only Output Information," I. J. Control, vol.62, on.5 pp.1129-1144, 1995. https://doi.org/10.1080/00207179508921587
  12. R. El-Khazali and R. Decarlo, "Output Feedback Variable Structure control Design," Automatica, vol.31 no.6 pp.805-816, 1995. https://doi.org/10.1016/0005-1098(94)00151-8
  13. S. Oh and H. K. Khalil, "Output Feedback Stabilization Using Variable Strucutre Control," I. J. Control, vol.62, on.4 pp.831-848, 1995. https://doi.org/10.1080/00207179508921571
  14. C M. Kwan, "On Varible Structure Output Feedback Controllers," IEEE T. on Automatic Control, vol.41 no.11, pp.1691-1693, 1996. https://doi.org/10.1109/9.544012
  15. L. Hsu and F. Lizarralde, "Comments and Further Results Regarding "'On Varible Structure Output Feedback Controllers," IEEE T. on Automatic Control, vol.43 no.9, pp.13381-1340, 1998.
  16. C. M. Kwan, "Further Results on Variable Output Fedback controllers," IEEE T. on Automatic Control, vol.46 no.9, pp.1505-1508, 2001. https://doi.org/10.1109/9.948487
  17. S. K. Bag, S. K. Spurgeon, and C. Edwards, "Output Feedback sliding Mode Design for Linear Uncertain Systems," IEE Proc.-Control Theory Appl., vol. 144, no.3, pp.209-216, 1997. https://doi.org/10.1049/ip-cta:19971122
  18. C Edwards and S. K. Spurgeon, "On the Limitations of Some Variable Structure Output Feedback Controller Designs," Automatica, vol.36, pp.743-748, 2000. https://doi.org/10.1016/S0005-1098(99)00201-0
  19. H. H. Choi, "Variable Sstructure Output Feedback Control Design for a class of Uncertain Dynamic Systems," Automatica, vol.38, pp.335-341, 2002. https://doi.org/10.1016/S0005-1098(01)00211-4
  20. P. G. Park, D. J. Choi, S. G. Kong, "Output Feedback Variable Structure Controll for Linear system with Uncertainties and Disturbances," Automatica, vol.43, pp.72-79, 2007. https://doi.org/10.1016/j.automatica.2006.07.015
  21. J. H. Lee and M. J. Youn, "An Integral-Augmented Optimal Variable Structure control for Uncertain dynamical SISO System, KIEE(The Korean Institute of Electrical Engineers), vol.43, no.8, pp.1333-1351, 1994.
  22. W. J. Cao and J. X. Xu, "Nonlinear Integral-Type Sliding Surface for Both Matched and Unmatched Uncertain Systems," IEEE T. Automatic Control, vol.49, no83 pp1355-1360,2004. https://doi.org/10.1109/TAC.2004.832658
  23. J. H. Lee, "A new improved integral variables structure system for uncertain systems, Proc. Of 4th Asia-Pacific Conference on Control & Measurement, Guilin-China, pp.176-181, 2000.
  24. J. H. Lee, "Highly robust position control of BLDDSM using an improved integral variable structure system," Automatica, vol.42,, pp.929-935, 2006 https://doi.org/10.1016/j.automatica.2006.01.021