Sliding Mode Control Method Combined with Bang-Bang Control for Structures under Earthquake Excitation

Authors

Faculty of Civil Engineering, University of Tabriz, Iran

Abstract

In the present paper, the improved sliding mode control algorithm are presented. This strategy is based on the combination of sliding mode control and Bang-Bang control theory. The Bang-Bang theory can switch abruptly between the on and off situation, this property can improve the performance of sliding mode control strategy. Also, three thresholds used to decrease the time of using the control system and optimizing the responses of structure.

Keywords

Main Subjects


Almutairi NB, Zribi M, “Sliding mode control of a three-dimensional overhead crane”, JVC/Journal of Vibration and Control, 2009, 15 (11), 1679-1730. https://doi.org/10.1177/1077546309105095.
Cai GP, Huang JZ, Sun F, Wang C, “Modified sliding-mode bang-bang control for seismically excited linear structures”, Earthquake Engineering and Structural Dynamics, 2000, 29 (11), 1647-1657. https://doi.org/10.1002/1096-9845(200011)29: 11<1647::AID-EQE981>3.0.CO;2-4.
Chang C-M, Spencer BF, “Active base isolation of buildings subjected to seismic excitations”, Earthquake Engineering and Structural Dynamics, 2010, 39 (13), 1493-1512. https://doi.org/10.1002/eqe.1040
Chang C-M, Spencer BF, “Active base isolation of buildings subjected to seismic excitations”, Earthquake Engineering and Structural Dynamics, 2010, 39 (13), 1493-1512. https://doi.org/10.1002/eqe.1040.
Chu SY, Yeh SW, Lu LY, Peng CH, “Experimental verification of leverage-type stiffness-controllable tuned mass damper using direct output feedback LQR control with time-delay compensation”, Earthquake and Structures, 2017, 12 (4), 425-436. https://doi.org/10.12989/eas.2017.12.4.425.
Du H, Zhang N, “Active Vibration Control of Structures Subject to Parameter Uncertainties and Actuator Delay”, Journal of Vibration and Control, 2008, 14 (5), 689-709. https://doi.org/10.1177/1077546307083173
Ehteram S, Afkhamin B, “Nonlinear Control of Buildings Subjected to Earthquakes by Using Sliding Mode Controller (SMC)”, Modern Applied Science, 2019, 4 (12), doi:10.5539/mas.v4n12p170
Ghaffarzadeh H, Ghaffari AH, Yang TY, “Fuzzy-sliding mode control of nonlinear smart base-isolated building under earthquake excitation”, Structural Design of Tall and Special Buildings, 2019, 28 (1), 1-14. https://doi.org/10.1002/tal.1557.
Guo SX, “Non-probabilistic robust reliability method and reliability-based performance optimization for active vibration control of structures and dynamic systems with bounded uncertain parameters”, JVC/Journal of Vibration and Control, 2016, 22 (6), 1472-1491. https://doi.org/10.1177/1077546314539373.
Lee SH, Min KW, Lee YC, “Modified sliding mode control using a target derivative of the Lyapunov function”, Engineering Structures, 2005, 27 (1), 49-59. https://doi.org/10.1016/j.engstruct.2004.08.010.
Li W, Xie Z, Wong PK, Cao Y, Hua X, Zhao J, “Robust nonfragile H-infinity optimum control for active suspension systems with time-varying actuator delay”, Journal of Vibration and Control, 2019, 25 (18), 2435-2452. https://doi.org/10.1177/1077546319857338.
Lim CW, Chung TY, Moon SJ, “Adaptive bang-bang control for the vibration control of structures under earthquakes”, Earthquake Engineering & Structural Dynamics, 2003, 32 (13), 1977-1994. https://doi.org/10.1002/eqe.310.
Mobayen S, Baleanu D, “Linear matrix inequalities design approach for robust stabilization of uncertain nonlinear systems with perturbation based on optimally-tuned global sliding mode control”, Journal of Vibration and Control, 2017, 23 (8), 1285-1295. https://doi.org/10.1177/1077546315592516.
Palacios-Quiñonero F, Rubió-Massegú J, Rossell JM, Karimi HR, “Recent advances in static output-feedback controller design with applications to vibration control of large structures”, Modeling, Identification and Control, 2014, 35 (3), 169-190. https://doi.org/10.4173/mic.2014.3.4.
Rashidi H, Khanlari K, Zarfam P, Ghafory-Ashtiany M, “A novel approach of active control of structures based on the critically damped condition”, JVC/Journal of Vibration and Control, 2021, 27 (13-14), 1511-1523. https://doi.org/10.1177/1077546320944300.
Wani ZR, Tantray M, Sheikh JI, “Experimental and numerical studies on multiple response optimization-based control using iterative techniques for magnetorheological damper-controlled structure”, Structural Design of Tall and Special Buildings, 2021, 30 (13), 1-22. https://doi.org/10.1002/tal.1884.
Yin X, Li X, Liu L, Wang Y, “A probabilistic robust mixed H 2 / H -infinity fuzzy control method for hypersonic vehicles based on reliability theory”, International Journal of Advanced Robotic Systems, 2018, 229 (5), 388-405. https://doi.org/10.1177/1729881417754153