DOI QR코드

DOI QR Code

Evaluation of Robust Performance of Fuzzy Supervisory Control Technique

퍼지관리제어기법의 강인성능평가

  • 옥승용 (서울대학교 교량설계핵심기술연구단) ;
  • 박관순 (동국대학교 건축공학과) ;
  • 고현무 (서울대학교 지구환경시스템공학부)
  • Published : 2005.10.01

Abstract

Using the variable control gain scheme on the basis of fuzzy-based decision-making process, Fuzzy supervisory control (FSC) technique exhibits better control performance than linear control technique with one static control gain. This paper demonstrates the effectiveness of the FSC technique by evaluating the robust performance of the FSC technique under the presence of uncertainties in the models and the excitations. Robust performance of the FSC system is compared with that of optimally designed LQG control system for the benchmark cable-stayed bridge presented by Dyke et al. Parameter studies on the robust performance evaluation are carried out by varying the stiffness of the bridge model as well as the magnitudes of several earthquakes with different frequency contents. From the comparative study of two control systems, FSC system shows the enhanced control performance against various magnitudes of several earthquakes while maintaining lower level of power required for controlling the bridge response. Especially, FSC system clearly guarantees the improved robust performance of the control system with stable reduction effects on the seismic responses and slight increases in total power and stroke for the control system, while LQG control system exhibits poor robust performance.

지진응답제어를 위한 효율적 방법으로 제시된 퍼지관리제어기법은 퍼지에 기반한 의사결정과정을 통하여 가변 제어이득행렬을 구현함으로써 하나의 제어이득만으로 표현되는 선형제어기법보다 개선된 제어성능을 발휘할 수 있다. 이 논문에서는 퍼지관리제어기법의 효율성을 하중 및 교량모델의 불확실성에 대한 제어성능의 강인성 측면에서 평가하였다. 강인성 평가에 있어서는 Dyke등이 제시한 벤치마크 교량에 대하여, 최적설계된 LQG기법과 제어성능을 비교하는 방법을 사용하였다. 불확실성을 주는 요인으로는 주파수 특성이 다른 여러 지진가속도의 규모 및 교량의 강성변화를 가정하였다. 최적설계된 LQG 제어기와 제어효과를 비교한 결과, FSC시스템이 지진의 종류와 규모에 따라 보다 작은 전력을 사용하면서도 개선된 제어성능을 발휘하였다. 특히, LQG 제어시스템이 강성변화에 대하여 불안정한 제어성능을 보인 반면, FSC 시스템은 매우 안정적인 응답제어효과를 보이면서도 제어시스템에 소요되는 전력량과 제어장치의 스트로크에 있어서도 큰 변화를 보이지 않음으로써 매우 탁월한 강인성을 보장할 수 있는 것으로 나타났다.

Keywords

References

  1. Yamaguchi, H and Ito, M., 'Full-scale Measurements and Structural Damping of Cable-Supported Bridges,' Proceedings of International Bridge Conference-Bridges into 21st Century, Hong Kong, 1995, pp. 557-564
  2. Larsen, A., editor, Aerodynamics of large bridges, Rotterdam, Balkema, 1992
  3. Larsen, A. and Esdahl, S., Bridge aerodynamics, Rotterdam, Balkema, 1998
  4. Fujino, Y., Soong, T. T. and Spencer Jr., B. F., 'Structural Control: Basic Concepts and Applications,' Proceedings of the ASCE Structures Congress XIV, Chicago, Illinois, 1996, pp. 1277-1287
  5. Housner, G. W., Bergman, L. A., Caughey, T. K., Chassiakos, A. G., Claus, R. O., Masri, S. F., Skelton, R. E., Soong, T. T., Spencer Jr., B. F. and Yao, J. T. P., 'Structural Control: Past, Present and Future,' Journal of Engineering Mechanics, ASCE, Vol. 123, No. 9, 1997, pp. 897-971 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  6. Symans, M.D. and Constantinou, M.C., Semi-active control systems for seismic protection of structures: a state-of-the-art review,' Engineering Structures, Vol. 21, No. 6, 1999, pp. 469-487 https://doi.org/10.1016/S0141-0296(97)00225-3
  7. Fujino, Y., 'Vibration, Control and Monitoring of Long-Span Bridges-Recent Research, Developments and Practice in Japan,' Journal of Constructional Steel Research, Vol. 58, 2002, pp. 71-97 https://doi.org/10.1016/S0143-974X(01)00049-9
  8. Tanida, K., 'Progress in the application of active vibration control technologies to longspan bridges in Japan,' Progress in Structural Engineering and Materials, 2002, pp. 363-371
  9. Spencer Jr, B. F. and Nagarajaiah, S., 'State of the Art of Structural Control,' Journal of Structural Engineering, ASCE, Vol. 129, No. 7, 2003, pp. 845-856 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  10. 박관순, '$H_{\infty}$강인제어이론을 적용한 장대구조물의 진동제어', 박사학위논문, 서울대학교, 1998
  11. 조익성, '구조물의 모델 불확실성을 고려한 지진응답의 강인제어', 석사학위논문, 서울대학교, 2000
  12. 박관순, 고현무, 옥승용, 서충원, '퍼지관리제어기법을 이용한 사장교의 지진응답제어', 한국지진공학회 논문집, 제 8권, 제 4호, 8, 2004, pp. 51-62
  13. Dyke, S. J., Caicedo, J. M and Turan, G., Bergman, L. A and Hague, S., 'Phase I Benchmark Control Problem for Seismic Response of Cable-Stayed Bridges,' Journal of Structural Engineering, Vol. 129, No. 7, 2003, pp. 857-872 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(857)
  14. AASHTO, Standard Specifications for Highway Bridges, 17th Ed., American Association of State Highway and Transportation Officials, Washington, D.C., 2002
  15. ABAQUS, Hibbitt, Karlsson and Sorensen Inc., Pawtucket, R.I., 1998
  16. Stengel, R. F., Stochastic optimal control: Theory and application, John Wiley & Sons, New York, 1986
  17. Skelton, R. E., Dynamic Systems Control: Linear Systems Analysis and Synthesis, John Wiley & Sons, New York, 1988
  18. Park, Kwan-Soon, Koh, Hyun-Moo and Ok, Seung-Yong, 'Active control of earthquake excited structures using fuzzy supervisory technique,' Advances in Engineering Software, Vol. 33, No. 11-12, 2002, pp. 761-768
  19. Passino, K.M. and Yurkovich, S., Fuzzy control, Reading/New York, Addison-Wesley/Longman, 1998

Cited by

  1. Robust Performance of Fuzzy Supervisory Control for Seismically Excited Cable-Stayed Bridge vol.15, pp.7, 2012, https://doi.org/10.1260/1369-4332.15.7.1197