Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Sliding mode control for civil structures based on complex Fourier coefficients of the earthquake

Nikos G. Pnevmatikos, Charis J. Gantes*
Metal Structures Laboratory, School of Civil Engineering, National Technical University of Athens, 9 Heroon Polytechneiou GR-15780 Zografou, Greece

  Full Text
An improved control algorithm based on the theory of variable structural control or sliding mode control is presented. A method for determining the sliding surface by pole assignment algorithm using complex Fourier coefficients of the incoming earthquake signal applied to the structure is proposed. The design response spectrum is used for estimation of maximum control force for saturated control. Furthermore, a more general theoretical description of the sliding surface of the system is presented. The potential applications and the effectiveness of the proposed control algorithm are demonstrated by numerical examples. The simulation results indicate that a trade–off between the control forces and the structural response is possible.

Keywords:  Sliding mode control; FFT; Complex Fourier coefficients; Pole placement; Saturated control

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