Type-1 and Type-2 Fuzzy Logic Control Algorithms for Semi-Active Seismic Vibration Control of the College Urban Bridge Using MR Dampers

Document Type : Research Papers


1 School of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran

2 International Institute of Earthquake Engineering and Seismology (IIEES), P.O. Box 1953714453, Tehran, Iran

3 School of Civil Engineering, College of Engineering, University of Tehran


In this study, the application of type-1 and type-2 fuzzy inference system (FIS) in semi-active seismic vibration control of the College Bridge using magnetorheological (MR) dampers is investigated. For this purpose, a detailed 3D finite element model of the bridge fitted with MR dampers is created in OpenSees. The command voltage of MR dampers is determined by employing both types of FISs in Matlab environment and making connection between both software. The results show the higher performance of the type-2 FIS for reducing the undesirable vibrations than that of type-1. This is because of the fact that the type-2 FIS considers interval membership functions for inputs in order to obtain the command voltage of MR dampers. Moreover, type-2 FIS effectively includes the effect of uncertainties and time delay. The results demonstrate that type-2 fuzzy controller is capable of reducing further the maximum displacement, base shear, and moment of the bridge by 24.6, 22.8, and 39.25%, respectively, compared to the type-1 fuzzy controller.


Main Subjects

AASHTO (1992). Standard specifications for highway bridges, American Association of state Highway and Transportation Officials, Washington D.C.
Achour-Olivier, F. and Afra, H., (2016). “Lyapunov based control algorithm for seismically excited buildings”, Periodica Polytechnica Civil Engineering, 60(3), 413-420.
Anand, R.R., Shrivastava, S. and Trikande, M.W., (2015), “Modelling and analysis of skyhook and fuzzy logic controls in semi-active suspension system”, Proceedings of the IEEE International Conference on Industrial Instrumentation and Control (ICIC), pp. 730-734.
Bathaei, A., Ramezani, M. and Ghorbani-Tanha, A.K., (2017a). “Seismic Vibration Control of College Bridge Using Genetic Algorithm and Multiple Tuned Mass Dampers”, Modares Civil Engineering Journal, 16(5), 21-32, (In Persian).
Bathaei, A., Zahrai, S.M. and Ramezani, M., (2017b). “Semi-active seismic control of an 11-DOF building model with TMD+ MR damper using type-1 and-2 fuzzy algorithms”, Journal of Vibration and Control,  DOI: 10.1177/1077546317696369
Dai, Z.B., Huang, J.Z. and Wang, H.X., (2004). “Semi-active control of a cable-stayed bridge under multiple-support excitations”, Journal of Zhejiang University-Science A, 5(3), 317-325.
DIN 1072, (1985). “Lastannahmen für Straßen und Wegbrücken”, (German Design Code 1072: Actions on Roads and Bridges), Berlin /Germany.
Dyke, S.J., Caicedo, J.M., Turan, G., Bergman, L.A. and Hague, S., (2003). “Phase I benchmark control problem for seismic response of cable-stayed bridges”, Journal of Structural Engineering, 129(7), 857-872.
Fayezioghani, A. and Moharrami, H., (2015). “Optimal Control via Integrating the Dynamics of Magnetorheological Dampers and Structures”, Civil Engineering Infrastructures Journal, 48(2), 345-357.
Hagras, H.A., (2004). “A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots”, Fuzzy Systems, IEEE Transactions on Fuzzy systems, 12(4), 524-539.
Jammeh, E.A., Fleury, M., Wagner, C., Hagras, H. and Ghanbari, M., (2009). “Interval type-2 fuzzy logic congestion control for video streaming across IP networks”, Fuzzy Systems, IEEE Transactions on fuzzy Systems, 17(5), 1123-1142.
John, R. and Coupland, S., (2007). “Type-2 fuzzy logic: a historical view”, IEEE computational intelligence magazine, 2(1), 57-62.
John, R.I., Innocent, P.R. and Barnes, M.R., (2000). “Neuro-fuzzy clustering of radiographic tibia image data using type 2 fuzzy sets”, Information Sciences, 125(1), 65-82.
Jung, B.H., Ruangrassamee, A., Kawashima, K., Spencer, B.F. and Lee, I. (2002). “Seismic protection of nonlinear coupled bridge systems using semi-active control strategy”, KSCE Journal of Civil Engineering, 6(1), 47-60.
Kim, H.S. and Kang, J.W. (2012). “Semi-active fuzzy control of a wind-excited tall building using multi-objective genetic algorithm”, Engineering Structures, 41, 242-257.
Kim, H.S. and Roschke, P.N., (2006). “Fuzzy control of base-isolation system using multi-objective Genetic Algorithm”, Computer‐Aided Civil and Infrastructure Engineering, 21(6), 436-449.
Liang, Q., Karnik, N.N. and Mendel, J.M. (2000). “Connection admission control in ATM networks using survey-based type-2 fuzzy logic systems”, Systems, Man, and Cybernetics, Part C: Applications and Reviews, IEEE Transactions on Systems, 30(3), 329-339.
Liang, Q. and Mendel, J.M., (2000). “Equalization of nonlinear time-varying channels using type-2 fuzzy adaptive filters”, Fuzzy Systems, IEEE Transactions on Fuzzy Systems, 8(5), 551-563.
Liang, Q. and Mendel, J.M., (2001). “MPEG VBR video traffic modeling and classification using fuzzy technique, Fuzzy Systems, IEEE Transactions on Fuzzy Systems, 9(1), 183-193.
Liu, Y., Gordaninejad, F., Evrensel, C.A., Wang, X. and Hitchcock, G.H. (2000). “Semiactive control of a two-span bridge using field-controllable magneto-rheological dampers”. In SPIE's 7th Annual International Symposium on Smart Structures and Materials, International Society for Optics and Photonics, pp. 199-206.
Ok, S.Y., Kim, D.S., Park, K.S. and Koh, H.M. (2007). “Semi-active fuzzy control of cable-stayed bridges using magneto-rheological dampers”, Engineering Structures, 29(5), 776-788.
Shu, H., Liang, Q. and Gao, J. (2008). “Wireless sensor network lifetime analysis using interval type-2 fuzzy logic systems”, Fuzzy Systems, IEEE Transactions on Fuzzy Systems, 16(2), 416-427.
Ślaski, G. and Maciejewski, M. (2011). “Skyhook and fuzzy logic controller of a semi active vehicle suspension”, Prace Naukowe Politechniki Warszawskiej Transport, (78), 97-111.
Spencer Jr., B.F. and Dyke, S.J., (1996). “Phenomenological model of a magneto rheological damper”, ASCE Journal of Engineering Mechanics, 123(3), 1-23.
Symans, M.D. and Kelly, S.W. (1999). “Fuzzy logic control of bridge structures using intelligent semi‐active seismic isolation systems”, Earthquake Engineering and Structural Dynamics, 28(1), 37-60.
Tanaka, K., Hori, T. and Wang, H.O. (2001). “A fuzzy Lyapunov approach to fuzzy control system design”, In American Control Conference, IEEE, Arlington, VA, USA 25-27 June, (Vol. 6, pp. 4790-4795).
Varga, M. and Bogdan, S. (2009), “Fuzzy-Lyapunov based quad rotor controller design”, In European Control Conference (ECC), IEEE, Budapest, Hungary, 23-26 August, (pp. 928-933).
Wu, D. and Mendel, J.M. (2007). “Uncertainty measures for interval type-2 fuzzy sets”, Information Sciences, 177(23), 5378-5393.
Yan, G. and Zhou, L.L. (2006). “Integrated fuzzy logic and genetic algorithms for multi-objective control of structures using MR dampers”, Journal of Sound and Vibration, 296(1), 368-382.
Zhou, L., Chang, C.C. and Wang, L.X. (2003). “Adaptive fuzzy control for nonlinear building-magneto rheological damper system”, Journal of Structural Engineering, 129(7), 905-913.