Sliding Mode Control of Los Angeles 20-story Benchmark Structure

by

E.E Matheu, M.P. Singh and L.M. Moreschi

Department of Engineering Science and Mechanics
Virginia Polytechnic Institute and State University
Blacksburg, VA 24060 USA
e-mail: mpsingh@vt.edu

Keywords: Benchmark problem; seismic response; sliding mode; buildings; hybrid control

Abstract

It is proposed to use a hybrid control scheme, consisting of the passive energy dissipation elements and the active and semi-active control devices, for seismic response control of the 20-story benchmark structure. For the passive control, it is proposed to consider the viscous dampers and yielding energy dissipation elements. For the active control, both the tendon control and tuned mass dampers will be considered. For the semi-active control, the magneto-rheological dampers will be considered. The control algorithm for the active and semi-active devices will be based on the sliding mode control approach. The recently developed formulation by the writers for an output feedback sliding mode control approach will be adopted. This formulation will be appropriately modified to accommodate the special characteristics of the prescribed benchmark problem and used with the active control schemes. For the original and degraded structures, and for the four earthquake motions, the eleven quantities prescribed in the evaluation criteria will be presented for assessing the relative effectiveness of the proposed response control approach.