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A New Anti-windup Method Using the Linear Quadratic Observer

LQ관측기를 사용한 새로운 누적방지 기법

  • Published : 2010.02.01

Abstract

In order to overcome some problems of existing anti-windup methods, this paper defines LQ (Linear Quadratic) observer and proposes a new anti-windup method using the LQ observer. LQ observer is derived by linear quadratic optimization in order to calculate controller states, which make the controller outputs equal to the plant inputs. And we propose an algorithm so that it can be implemented by a digital controller easily. The relationship between the design parameters and the anti-windup performance is shown via some numerical examples, which cover the cases with the anti-windup method using LQ observer designed and the case without it. Finally, the anti-windup performance of the proposed method is exemplified via comparison with the existing model-based conditioning scheme method[4].

Keywords

References

  1. 이영삼, 이명의, 권오규, "누적방지 무충돌 전환 제어기의 설계와 비선형 보일러 시스템 적용," 제어 . 자동화 . 시스템공학 논문지, 제6권 제4호, pp. 247-253, 2000.
  2. 김태신, 권오규, "누적방지 무충돌전환을 위한 새로운 통합형 기법," 제어 . 로봇 . 시스템학회 논문지, 제15권 제 7호, pp. 655-660, 2009. https://doi.org/10.5302/J.ICROS.2009.15.7.655
  3. M. V. Kothare, P. J. Campo, M. Morari, and C. N. Nett, "A unified framework for the study of anti-windup designs," Automatica, vol. 30, no. 12, pp. 1869-1883, 1994. https://doi.org/10.1016/0005-1098(94)90048-5
  4. C. Edwards and I. Postlethwaite, "Anti-windup and bumpless transfer schemes," Automatica, vol. 34, no. 2, pp. 199-210, 1998. https://doi.org/10.1016/S0005-1098(97)00165-9
  5. L. Zaccarian and A. R. Teel, "A common framework for antiwindup, bumpless transfer and reliable designs," Automatica, vol. 38, pp. 1735-1744, 2002. https://doi.org/10.1016/S0005-1098(02)00072-9
  6. C. Barbu, R. Reginatto, A. R. Teel, and L. Zaccarian, "Antiwindup for exponentially unstable linear systems with inputs limited in magnitude and rate," Proceedings of the American Control Conference, Chicago, Illinois pp. 1230-1234, Jun. 2000.
  7. G. Grimm, J. Hatfield, I. Postlethwaite, A. R. Teel, M. C. Tumer, and L. Zaccarian, "Antiwindup for stable linear systems with input saturation: An LMI-based synthesis," IEEE Trans. on Automatic Control, vol. 48, no. 9, pp. 1509-1525, 2003. https://doi.org/10.1109/TAC.2003.816965
  8. S. Crawshaw and G Vinnicombe, "Anti-windup for local stability of unstable plants," Proceedings of the American Control Conference Anchorage, AK pp. 645-650, May 2002.
  9. L. Zaccarian and A. R. Teel, "The L2 (12) bumpless transfer problem for linear plants: Its definition and solution," Automatica, vol. 41, no. 7, pp. 1273-1280, 2005. https://doi.org/10.1016/j.automatica.2005.02.003
  10. K. Zhou and J. C. Doyle Essentials of Robust Control, prentice Hall International Editions, pp. 165-170, 1998.
  11. M. C. Turner and D. J. Walker, "Linear quadratic bumpless transfer," Automatica, vol. 36, pp. 1089-1101, 2000. https://doi.org/10.1016/S0005-1098(00)00021-2
  12. 김태신, 양지혁, 권태완, 권오규, "입력 불일치 해소에 의한 개선형 무충돌전환," 제어 . 로봇 . 시스템학회 논문지, 제15권 제7호, pp. 655-660, 2009. https://doi.org/10.5302/J.ICROS.2009.15.10.982

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