Evaluation of Sliding Mode and Proportional-Integral-Derivative Controlled Structures with an Active Mass Damper

Abstract

In this paper, both a sliding mode controller (SMC) and proportional-integral-derivative (PID) controller are designed for a multi-degrees-of-freedom structure, which has an active mass damper (AMD) to suppress earthquakeor wind-induced vibration. Since the model might have uncertainties and/or parameter changes, a SMC has been included because of its robust character and performance. The structural system has five degrees of freedom and has been simulated against an initial displacement of the first floor. At the end of the paper, we present the time histories of the first floor, top floor, and AMD displacements, the control voltage and frequency response of the uncontrolled, PID controlled, and sliding mode controlled structures, and we discuss the results.

Keywords

Sliding mode control active mass damper structure vibration

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References

Adhikari, R. and Yamaguchi, H. , 1997, "Sliding mode control of buildings with ATMD," Earthquake Engineering and Structural Dynamics 26, 409-422 .

Dan Cho, D. , 1993, "Experimental results on sliding mode control of an electromagnetic suspension," Mechanical Systems and Signal Processing 7(4), 283-292 .

Fukushima, I. , Kobori, T. , Sakamoto, M. , Koshika, N. , Nishimura, I. , and Sasaki, K. , 1996, "Vibration control of a tall building using active-passive composite-tuned mass damper," in Proceedings of the Third International Conference on Motion and Vibration Control, Chiba, Japan , pp. 1-6.

Nishimura, H. , Ohkubo, Y , and Nonami, K. , 1996, "Active isolation control for multi-degrees-of-freedom structural system," in Proceedings of the Third International Conference on Motion and Vibration Control, Chiba, Japan , pp. 82-87.

Ogata, K. , 1990, Modern Control Engineering, Prentice-Hall, Englewood Cliffs, NJ .

Sabanovic, A. , 1994, "Chattering-free sliding mode control," in First Automatic Control Symposium, Istanbul, Turkey .

Yagiz, N. , Yuksek, I. , and Sivrioglu, S. , 2000, "Robust control of active suspensions for a full vehicle model using sliding mode control," JSME, Japan Society of Mechanical Engineers Series C 43(2), 253-258 .

Yoshida, K. and Fujio, T. , 1999, "Semi-active base isolation for a building structure," in Proceedings of the 1999 ASME Design Engineering Technical Conference, Las Vegas, NV , pp. 1-6.