Lyapunov Based Control Algorithm for Seismically Excited Buildings

Authors

  • Farida Achour-Olivier
    Affiliation
    Faculty of Civil Engineering, University of Science and Techology, Houari Boumediene (USTHB),
  • Hamid Afra
    Affiliation
    National Center of Building Integrated Research and Studies (CNERIB), Cité El Mokrani Souidania, Algiers,
https://doi.org/10.3311/PPci.8198

Abstract

Several different seismic active control algorithms have been proposed in the last decades, most of these studies are based on the applications of the traditional linear quadratic regulator control (LQR). This paper develops a new control algorithm for SDOF structures based in Lyapunov method. This algorithm uses Lyapunov’s direct approach for stability analysis in design of feedback controller. The approach requires the use of Lyapunov function candidate, which must be a positive definite function of the states of the system. The controller is designed so as to make the derivative of the Lyapunov function negative semi-definite. Numerical simulations using one story frame structure modeled as shear building structure subjected to earthquake excitations have been performed to evaluate the effectiveness of the proposed algorithm.

Keywords:

Seismic active control, Lyapunov function, Lyapunov stability theory, Numerical simulation

Citation data from Crossref and Scopus

Published Online

2016-06-15

How to Cite

Achour-Olivier, F., Afra, H. “Lyapunov Based Control Algorithm for Seismically Excited Buildings”, Periodica Polytechnica Civil Engineering, 60(3), pp. 413–420, 2016. https://doi.org/10.3311/PPci.8198

Issue

Section

Research Article