Sliding mode and PID control of a structural system against earthquake. (English) Zbl 1187.70045

Summary: A non-chattering robust sliding mode controller (SMC) and a proportional integral derivative (PID) Controller are separately designed for an active seismic control device considering a multi-degree-of-freedom structural system against earthquakes. Since the PID control method can be applied easily and is widely known, it has an important place in control applications. But this method is insensitive to parameter changes. The advantage of an SMC is its robustness and ability to handle the non-linear behaviour of the system. The simulated system has four degrees of freedom. A structural system was simulated against the ground motion of the Marmara earthquake \((M_w=7.4)\) in Turkey on August 17th, 1999. The ground motion acts on the base. Both PID and sliding mode controllers are designed to suppress the building vibrations. Since the main effect of an earthquake occurs on the first floor, the controller is placed under it. At the end of the study, the time history of the first and top floor displacements, frequency responses of both the uncontrolled and controlled structures and control voltages are presented and the results are discussed.


70Q05 Control of mechanical systems
86A15 Seismology (including tsunami modeling), earthquakes
Full Text: DOI


[1] Sakamoto, M.; Sasaki, K.; Kobori, T., Active structural response control system, Mechatronics, 2, 5, 503-519 (1992)
[2] Kelly, J. M., Earthquake Resistant Design With Rubber (1996), Springer-Verlag: Springer-Verlag London
[8] Guclu, R., Fuzzy logic control of vibrations of analytical multi-degree-of-freedom structural systems, Turkish Journal of Engineering and Environmental Sciences, 27, 3, 157-167 (2003)
[9] Emelyanov, S. V., Variable Structure Control Systems (1967), Nauka: Nauka Moscow · Zbl 0217.58102
[10] Utkin, V. I., Variable structure systems with sliding mode, IEEE Transactions on Automatic Control, AC-22, 212-222 (1977) · Zbl 0382.93036
[11] Dan Cho, D., Experimental results on sliding mode control of an electromagnetic suspension, Mechanical Systems and Signal Processing, 7, 4, 283-292 (1993)
[14] Yang, J. N.; Wu, J. C.; Agrawal, A. K.; Hsu, S. Y., Sliding mode control with compensator for wind and seismic response control, Earthquake Engineering and Structural Dynamics, 26, 11, 1137-1156 (1997)
[15] Adhikari, R.; Yamaguchi, H., Sliding mode control of buildings with ATMD, Earthquake Engineering and Structural Dynamics, 26, 409-422 (1997)
[16] Singh, M. P.; Matheu, E. E., Active and semi-active control of structures under seismic excitation, Earthquake Engineering and Structural Dynamics, 26, 193-213 (1997)
[17] Yagiz, N., Sliding mode control of a multi-degree-of-freedom structural system with active tuned mass damper, Turkish Journal of Engineering and Environmental Sciences, 25, 651-657 (2001)
[19] Dumont, G.; Sanchez, J. M.M.; Zervos, C. C., Comparison of an auto-tuned PID regulator and an adaptive precditive control system on an industrial bleach plant, Automatica, 25, 1, 33-40 (1989) · Zbl 0666.93081
[20] Carotti, A.; Lio, G., Experimental active control: bench tests on controller units, Engineering Structures, 13, 3, 242-252 (1991)
[21] Ogata, K., Modern Control Engineering (1990), Prentice-Hall: Prentice-Hall New Jersey · Zbl 0756.93060
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