Controlling Nonlinear Vibrations In
Steel Structures Using An Evolutionary Gain
Formulation To Optimally Satisfy
Performance Objectives
Author(s)
R. Dansby & T. Attard
Abstract
An evolutionary gain formulation is implemented within a nonlinear quadratic
control algorithm framework used to minimize the performance index of a
structural steel system that is subjected to various earthquake ground motions.
The control architecture is formulated using a numerical integration scheme that
solves the nonlinear responses of a degrading system and formulates an optimal
gain matrix that is used to control building displacement demands by satisfying
the desired performance-objectives per time-step. The performance-objectives
are defined for various ‘damage-safe’ and elastic demands to show the versatility
of the proposed control solution. The results of the evolutionary gain approach
are compared to more conventional LQR techniques. Towards this end, a
COntrol NONlinear time-history analysis (CONON) program was developed to
simulate the responses of kinematically strain-hardened systems and to compute
the optimal semi-active device output forces per time-step as part of the control
solution that implements the proposed evolutionary gain. The minimization of
the cost function is independent of the weighing matrices of the system, thus
alleviating any need to compute these terms per time step. Instead, an iterative
Riccati matrix is determined per time-step and used to generate the evolutionary
gain. The results are compared by examining several hysteresis plots of the steel
system against other feedback-based methods. The proposed system
implementation shows a marked increase in the ability to control the desired
target response and meet acceptable performance goals.
Keywords: performance-based analysis, evolutionary control, state-space
analysis, nonlinear analysis.
Keywords
performance-based analysis, evolutionary control, state-space
analysis, nonlinear analysis.
Related Book
Other papers in this volume
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