Chen, Cheng-Wu; Yeh, Ken; Liu, Kevin Fong-Rey Adaptive fuzzy sliding mode control for seismically excited bridges with lead rubber bearing isolation. (English) Zbl 1186.93051 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 17, No. 5, 705-727 (2009). Summary: This study examines the feasibility of applying Adaptive Fuzzy Sliding Mode Control (AFSMC) strategies to reduce the dynamic responses of bridges constructed using a Lead Rubber Bearing (LRB) isolation hybrid protective system. Recently developed control devices for civil engineering structures, including hybrid systems and semi-active systems, have been found to have inherent nonlinear properties. It is thus necessary to develop non-linear control methods to deal with such properties. Generally, controller fuzziness increases the robustness of the control system to counter uncertain system parameters and input excitation, and the non-linearity of the control rule increases the effectiveness of the controller relative to linear controllers. AFSMC is a combination of Sliding Mode Control (SMC) and fuzzy control. The performance and robustness of these proposed control methods are all verified by numerical simulation. The results demonstrate the viability of the presented methods. The attractive control strategy derived there-from is applied to seismically excited bridges using LRB isolation. Cited in 10 Documents MSC: 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C42 Fuzzy control/observation systems 93C40 Adaptive control/observation systems 86A15 Seismology (including tsunami modeling), earthquakes Keywords:Lyapunov theory; adaptive fuzzy sliding mode control; lead rubber bearing isolation PDFBibTeX XMLCite \textit{C.-W. Chen} et al., Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 17, No. 5, 705--727 (2009; Zbl 1186.93051) Full Text: DOI References: [1] DOI: 10.1061/(ASCE)0733-9399(1997)123:9(897) · doi:10.1061/(ASCE)0733-9399(1997)123:9(897) [2] Skinner R. I., An Introduction to Seismic Isolation (1993) [3] Yao J. T. P., J. Struct. Div. ASCE 98 pp 1567– [4] Yang J. N., J. Eng. Mech. Div. ASCE 101 pp 819– [5] Abdel-Rohman M., J. Eng. Mech. Div. ASCE 107 pp 1313– [6] DOI: 10.1061/(ASCE)0733-9399(1987)113:9(1369) · doi:10.1061/(ASCE)0733-9399(1987)113:9(1369) [7] DOI: 10.1061/(ASCE)0733-9399(1992)118:12(2463) · doi:10.1061/(ASCE)0733-9399(1992)118:12(2463) [8] DOI: 10.1002/eqe.4290230506 · doi:10.1002/eqe.4290230506 [9] DOI: 10.1061/(ASCE)0733-9399(1995)121:12(1330) · doi:10.1061/(ASCE)0733-9399(1995)121:12(1330) [10] DOI: 10.1061/(ASCE)0733-9399(1998)124:4(446) · doi:10.1061/(ASCE)0733-9399(1998)124:4(446) [11] DOI: 10.1142/S0218488596000160 · Zbl 1232.93058 · doi:10.1142/S0218488596000160 [12] Lo J. C., IEEE Trans. Fuzzy Systems 6 pp 426– [13] DOI: 10.1016/0005-1098(92)90116-W · Zbl 0767.93026 · doi:10.1016/0005-1098(92)90116-W [14] Yager R. R., Essentials of Fuzzy Modeling and Control (1994) [15] DOI: 10.1109/91.227383 · doi:10.1109/91.227383 [16] DOI: 10.1109/5.4400 · doi:10.1109/5.4400 [17] DOI: 10.1007/978-3-642-84379-2 · doi:10.1007/978-3-642-84379-2 [18] DOI: 10.1109/91.919246 · doi:10.1109/91.919246 [19] DOI: 10.1109/91.919255 · doi:10.1109/91.919255 [20] DOI: 10.1109/91.746301 · doi:10.1109/91.746301 [21] Wang L. X., Adaptive Fuzzy Systems and Control: Design and Stability Analysis (1994) [22] DOI: 10.1016/j.advengsoft.2005.12.002 · Zbl 05135632 · doi:10.1016/j.advengsoft.2005.12.002 [23] DOI: 10.1109/TCSI.2005.852492 · doi:10.1109/TCSI.2005.852492 [24] DOI: 10.1016/j.matcom.2004.04.001 · Zbl 1049.93556 · doi:10.1016/j.matcom.2004.04.001 [25] DOI: 10.1177/1077546307073690 · Zbl 1182.93044 · doi:10.1177/1077546307073690 [26] DOI: 10.1142/S0218488505003461 · Zbl 1137.93371 · doi:10.1142/S0218488505003461 [27] DOI: 10.1016/j.amc.2008.05.104 · Zbl 1152.93040 · doi:10.1016/j.amc.2008.05.104 [28] DOI: 10.1016/S0141-0296(02)00020-2 · doi:10.1016/S0141-0296(02)00020-2 [29] Park K. S., Journal of Earthquake Engineering 9 pp 497– [30] DOI: 10.1016/j.engstruct.2004.10.007 · doi:10.1016/j.engstruct.2004.10.007 [31] DOI: 10.12989/sem.2007.26.5.517 · doi:10.12989/sem.2007.26.5.517 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.