Sliding mode control of buildings with base‐isolation hybrid protective system

This paper investigates the application of the sliding mode control (SMC) strategies for reducing the dynamic responses of the building structures with base-isolation hybrid protective system. It focuses on the use of reaching law method, a most attractive controller design approach of the SMC theory, for the development of control algorithms. By using the constant plus proportional rate reaching law and the power rate reaching law, two kinds of hybrid control methods are presented. The compound equation of motion of the base-isolation hybrid building structures, which is suitable for numerical analysis, has been constructed. The simulation results are obtained for an eight-storey shear building equipped with base-isolation hybrid protective system under seismic excitations. It is observed that both the constant plus proportional rate reaching law and the power rate reaching law hybrid control method presented in this paper are quite effective. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  Jamshid Ghaboussi,et al.  Active Control of Structures Using Neural Networks , 1995 .

[2]  Anthony J. Calise,et al.  Active attenuation of building structural response using robust control , 1998 .

[3]  Ronald L. Mayes,et al.  Seismic Isolation: History, Application, and Performance—A World View , 1990 .

[4]  Mahendra P. Singh,et al.  ACTIVE AND SEMI-ACTIVE CONTROL OF STRUCTURES UNDER SEISMIC EXCITATION , 1997 .

[5]  Andrei M. Reinhorn,et al.  Control of Sliding-Isolated Buildings Using Sliding-Mode Control , 1996 .

[6]  Zexiang Li,et al.  Stable Controllers for Instantaneous Optimal Control , 1992 .

[7]  Zexiang Li,et al.  Aseismic hybrid control of nonlinear and hysteretic structures. II , 1992 .

[8]  Anil K. Agrawal,et al.  OPTIMAL POLYNOMIAL CONTROL FOR SEISMICALLY EXCITED NON‐LINEAR AND HYSTERETIC STRUCTURES , 1996 .

[9]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[10]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[11]  Satish Nagarajaiah,et al.  Control of Sliding‐Isolated Bridge with Absolute Acceleration Feedback , 1993 .

[12]  Faryar Jabbari,et al.  Experimental Verifications of H∞ and Sliding Mode Control for Seismically Excited Buildings , 1996 .

[13]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[14]  D. J. Shippy,et al.  BEM treatment of body forces in plane orthotropic elastostatics , 1995 .

[15]  Kazuhiko Kawashima,et al.  Hybrid control of seismic‐excited bridge structures , 1995 .

[16]  Y. K. Wen,et al.  Methods of Random Vibration for Inelastic Structures , 1989 .

[17]  M. Sain,et al.  Non-linear optimal control of a Duffing system , 1992 .

[18]  Hiroki Yamaguchi,et al.  SLIDING MODE CONTROL OF BUILDINGS WITH ATMD , 1997 .

[19]  Jann N. Yang,et al.  Sliding mode control with compensator for wind and seismic response control , 1997 .

[20]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[21]  Zexiang Li,et al.  Control of sliding-isolated buildings using dynamic linearization , 1994 .

[22]  Faryar Jabbari,et al.  Robust control techniques for buildings under earthquake excitation , 1994 .

[23]  Khaldoon A. Bani-Hani,et al.  NONLINEAR STRUCTURAL CONTROL USING NEURAL NETWORKS , 1998 .