A NUMERICAL METHOD FOR CHOICE OF WEIGHTING MATRICES IN ACTIVE CONTROLLED STRUCTURES

asim99 · 11-28-2012, 10:16 PM

A feedback control system usually implements active and semi-active control of seismically excited structures.
The objective of the control system is described by a performance index, including weighting matrix norms. The
choice of weighting matrices is usually based on engineering experience. A new procedure for weighting matrix
components choice based on the parametric optimization method is developed in this study. It represents a twostep
optimization process. In the first step a discrete-time control system is synthesized according to a quadratic
performance index. In the second step the weighting coefficients are obtained using the results of the first step.
Numerical simulation of a typical structure subjected to earthquakes is carried out in order to demonstrate the
effectiveness of the proposed method. It shows that applying the proposed technique provides a choice of the
weighting matrices and results in enhanced structural behaviour under different earthquakes

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