Sliding mode and PID control of a structural system against earthquake

In this study, 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.

[1]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[2]  James M. Kelly,et al.  Earthquake-Resistant Design with Rubber , 1993 .

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

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

[5]  Kazuo Yoshida,et al.  Semi-active base isolation for a building structure , 2000 .

[6]  Guy Albert Dumont,et al.  Comparison of an auto-tuned PID regulator and an adaptive predictive control system on an industrial bleach plant , 1989, Autom..

[7]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[8]  Nurkan Yağiz.  Sliding Mode Control of a Multi-Degree-of-Freedom Structural System With Active Tuned Mass Damper , 2001 .

[9]  Dong-il Dan Cho.  Experimental results on sliding mode control of an electromagnetic suspension , 1993 .

[10]  Asif Sabanovic,et al.  Chattering Free Sliding Mode Control. , 1994 .

[11]  Hidekazu Nishimura,et al.  Sliding mode control of multi-degree-of-freedom structure by means of sensorless active dynamic vibration absorber , 1997 .

[12]  Rahmi Guclu.  Fuzzy Logic Control of Vibrations of Analytical Multi-Degree-of- Freedom Structural Systems , 2003 .

[13]  A. Carotti,et al.  Experimental active control: bench tests on controller units , 1991 .

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

[15]  T. T. Soong,et al.  Second Generation of Active Structural Control in Civil Engineering , 1996 .

[16]  Wang Cuihong,et al.  Variable Structure Control for Interval Systems , 2006, 2007 Chinese Control Conference.

[17]  Takuji Kobori,et al.  Active structural response control system , 1992 .

[18]  John L. Gross,et al.  Implications for Earthquake Risk Reduction in the United States From the Kocaeli, Turkey, Earthquake of August 17, 1999 | NIST , 2000 .