Analysis of structure optimal control under earthquake excitation using Pseudospectral Legendre method

Abstract:

This research formulates a structure optimal control problem with earthquake excitation. In the paper, the Pseudospectral Legendre method is used to solve the optimal control problem. The method discretizes objective function and constrains by Legendre-Gauss-Lobatto points in the range. Then objective integral function and differential constrains are approximated by Legendre interpolating functions. The results present optimal control force to reduce the structural response under earthquake excitation