Improving existing “reaching law” for better discrete control of seismically-excited building structures

Abstract

In this paper, a novel “composite reaching law” was explained in details: 1) the equation of discrete motion for a control system; 2) the design of discrete-time variable structure control. In addition, the model of a three-storey shear-type building structure was used to verify the effectiveness of the discrete variable structure control method. The results of numerical example analysis of the model show that the control law can effectively reduce the peak value of seismic response of the building structure and the chattering effect of the control system.

Keywords

discrete-time variable structure control / composite reaching law / chattering effect / saturated control law

References

[1] Gao Weibin. Theory and Design Methods of Variable Structure Control. Beijing: Science Press, 1996(in Chinese)

[2] Liu Jinkun. Matlab Simulation for Sliding Mode Control. Beijing: Tsinghua University Press, 2005(in Chinese)

[3] Yao Qionghui, Song Lizhong, Yan Shenmao. Evolution and prospect of discrete variable structure control theory. Journal of Naval University of Engineering, 2004, 16(6): 23-29(in Chinese)

[4] Yang J N, Wu J C, Agrawal A K. Sliding mode control for nonlinear and hysteretic structures. Journal of Engineering Mechanics ASCE, 1995, 121(12): 1330-1339

[5] Yang J N, Wu J C, Agrawal A K. Sliding mode control for seismically excited linear structures. Journal of Engineering Mechanics ASCE, 1995, 121(12): 1386-1390

[6] Yang J N, Wu J C, Reinhorn A M, Riley M. Control of sliding-isolated buildings using sliding-mode control. Journal of Structural Engineering ASCE,1996, 122(2): 179-186

[7] Yang J N, Wu J C, Reinhorn A M Riley M, Schmitendorf W E, Jabbari F. Experimental verifications of and sliding-mode control for seismically excited buildings. Journal of Structural Engineering ASCE, 1996, 122(1): 69-75

[8] Zhao Bin, Lu Xilin. Discrete variable structure control method for vibration control of building structures. Journal of Vibration Engineering, 2001, 14(1): 85-89(in Chinese)

[9] Cai G P, Huang J Z. Discrete-time variable structure control method for seismic-excited building structures with time delay in control. Earthquake Engineering and Structural Dynamics, 2002, 31: 1347-1359

[10] Li Wenlin. Reaching law of discrete-time variable structure control systems. Control and Decision, 2004, 19(11): 1267-1270(in Chinese)

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg