Journal of the Computational Structural Engineering Institute of Korea (한국전산구조공학회논문집)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Hybrid Control System Using On-Off Type LQG Algorithm

On-Off 형태의 LQG 알고리즘을 이용한 복합제어 시스템

  • 정형조 (세종대학교 토목환경공학과) ;
  • 윤우현 (경원대학교 산업환경대학원) ;
  • 이인원 (한국과학기술원 건설 및 환경공학과) ;
  • 박규식 (한국과학기술원 건설 및 환경공학과)
  • Published : 2005.09.01
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Abstract

This paper presents a hybrid control system combining lead rubber bearings and hydraulic actuators for seismic response control of a cable stayed bridge. Because multiple control devices are operating, a hybrid control system could improve the control performances. However, the overall system robustness may be impacted negatively by additional active control devices. Therefore, a secondary on-off type controller according to the responses of lead rubber bearings is combined with LQG algorithm to improve the controller robustness. Numerical simulation results show that control performances of the hybrid system controlled by an on off type LQG algorithm are improved compared to those of the passive and active control systems and are similar to those of performance oriented hybrid system controlled by a LQG algorithm with the similar peak and normed control forces. Furthermore, it is verified that the hybrid system with an on-off type LQG controller is more robust for stiffness matrix perturbation than conventional hybrid control of system, and there are no signs of instability in the overall system. The proposed control system also maintains the control performance under not only the design earthquakes but also the other earthquakes. Therefore, the hybrid control system using on-off type LQG algorithm could be proposed as an improved control strategy for seismically excited cable-stayed bridges containing many uncertainties.

본 논문에서는 지진하중을 받는 사장교에 납고무받침과 유압식 가력기를 결합한 복합제어 시스템을 적용하였다. 복합제어 시스템은 다중의 제어장치로 인해 제어성능의 향상을 기대할 수 있지만 추가적으로 사용되는 능동제어 장치로 인하여 전체 제어시스템의 강인성이 저하될 수 있다. 따라서 본 연구에서는 복합제어 시스템의 강인성을 향상시키기 위해 기존의 LQG 알고리즘에 납고무받침의 응답에 따른 on-off 형태의 알고리즘을 결합하였다. 수치해석 결과 on-off 형태의 LQG 알고리즘을 사용한 복합제어 시스템은 납고무받침을 사용할 수동제어 시스템이나 유압식 가력기만을 사용한 능동제어 시스템과 비슷한 최대제어력이나 평균제어력을 사용하면서 제어성능이 향상되었으며, 기존의 성능에 초점을 둔 LQG 알고리즘만을 사용한 복합제어 시스템과 유사한 제어성능을 나타냈다. 또한 제안된 제어시스템은 구조물의 강성행렬에 교란이 있을 때 기존의 LQG 알고리즘만을 사용한 복합제어 시스템에 비해 강인성이 향상되었으며 교란된 시스템에 대해 불안정성을 보이지 않았다. 제안된 제어시스템은 설계지진뿐만 아니라 다른 입력지진에 대해서도 제어성능을 유지하였다. 따라서 On-Off 형태의 LQG 알고리즘을 사용한 복합제어 시스템은 불확실성이 많은 지진하중을 받는 사장교에 개선된 제어기법으로 제안될 수 있다.

Keywords

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