Browse > Article

Hybrid Control System Using On-Off Type LQG Algorithm  

Jung Hyung-Jo (세종대학교 토목환경공학과)
Yoon Woo-Hyun (경원대학교 산업환경대학원)
Lee In-Won (한국과학기술원 건설 및 환경공학과)
Park Kyu-Sik (한국과학기술원 건설 및 환경공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.18, no.3, 2005 , pp. 227-243 More about this Journal
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.
Keywords
hybrid control system; on-off type LQG algorithm; robust analysis; stiffness matrix perturbation; seismic response control;
Citations & Related Records
연도 인용수 순위
  • Reference
1 He, W. L., Agrawal, A. K., Mahmoud, K. (2001) Control of seismically excited cable stayed bridge using resetting semi active stiffness dampers. Journal of Bridge Engineering. ASCE. 6(6). pp. 376-384   DOI
2 MATLA$B^{\circledR}$(1997) The Math Works, Inc., Natick. Massachusetts
3 Spencer, Jr., B. F., Nagarajaiah, S.( 2003) State of the art of structural control. Journal of Structural Engineering: Special issue on structural control, ASCE. 129(7). pp.845-855
4 Turan, G. (2001) Active control of a cable stayed bridge against earthquake excitations. Ph. D. Dissertation. Department of Civil Engineering. University of Illinois at Urbana Champaign
5 정형조, 박규식, B. F. Spencer, Jr., 이인원(2004) 사장교를 위한 LRB 기반 복합 기초격리 시스템, 한국지진공학회 논문집, 8(3), pp. 63-75
6 Takahashi, M. (1984) Earthquake resistance design of the Meiko Nishi Bridge. Proceedings of the First US Japan Bridge Engineering Workshop. Tsukuba, Japan
7 Moon, S. J., Bergman, L. A., Voulgaris, P. G. (2002) Sliding mode control of cable stayed bridge subjected to seismic excitation, Journal of Engineering Mechanics, ASCE, 129(1), pp.71-78   DOI   ScienceOn
8 ABAQU$S^{\circledR}$(1996) Hibbitt, Karlsson & Sorensen Inc., Pawtucket RI
9 Wilson, J., Gravelle, W.(1991) Modeling of a cable stayed bridge for dynamic analysis. Earthquake Engineering and Structural Dynamics, 20. pp.707-721   DOI
10 Laud, A. J., Heakth, M. T., Paige, C. C., Ward, R. C. (1987) Computation of system balancing transformations and other applications of simultaneous diagonalization algorithm, IEEE Transaction on Automatic Control, AC 32. pp.17-32
11 Sakai, T. Nishikawa, K., Kawashima, K. (1989) New design considerations for reducing seismic lateral force of highway bridges in Japan, Proceedings of the 11th IRF World Meeting, pp. 1-4. Seoul. Korea
12 Park, K. S., Jung, H. J., Lee, I. W.(2002) Hybrid control strategies for seismic protection of benchmark cable stayed bridges, Proceedings of the Seventh US National Conference on Earthquake Engineering, Boston, USA
13 Bouc, R.(1967) Force vibration of mechanical system with hysteresis. Abstract. Proceedings of the Fourth Conference on Nonlinear Oscillation. Prague. Czechoslovakia
14 Dyke, S. J., Turan, G., Caicedo, J. M., Bergman, L. A., Hague, S.(2003) Phase I benchmark control problem for seismic response of cable stayed bridges. Journal of Structural Engineering: Special issue on structural control. ASCE. 129(7). pp.857-872
15 박규식, 정형조, B. F. Spencer, Jr., 이인원 (2003) 수동, 능동, 반능동 및 복합시스템을 이용한 사장교의 지진응답 제어, 한국지진공학회 논문집, 7(1), pp. 17-29
16 Wen, Y. K.(1976) Method for random vibration of hysteretic systems. Journal of Engineering Mechanics, ASCE, 102(2), pp.249-263
17 Kitazawa. M., Noguchi, J., Nishimori , K., Izeki , J. (1991) Earthquake resistant design of a long period structure and development of girder displacement stopper: Higashi Kobe Bridge, Proceedings of the Initial Symposium on Kyushu University, pp.123-141, Fukuoka, Japan
18 Park, K. S., Jung, H. J., Lee, I. W.(2002) Hybrid control strategy for seismic protection of a benchmark cable stayed bridge, Engineering Structures, 25( 4), pp405-417   DOI   ScienceOn
19 Public Works Research Institute (PWRI , 1986) Seismic design procedure of cable stayed bridge: Part I dynamic characteristics of cable stayed bridges based on field vibration test results, Technical Report, Tsukuba, Japan (In Japanese)
20 Kelly, J. M.(1982) Aseismic base isolation. Shock and Vibration Digest. 14. pp.17 - 25
21 Kelly, J. M. (1986) Aseismic base isolation: Review and bibliography, Soil Dynamics and Earthquake Engineering. 5, pp.202-216   DOI   ScienceOn
22 Ali, H. M., Abdel Ghaffar, A. M.(1995) Seismic passive control of cable stayed bridges. Shock and Vibration. 2(4). pp.259-272