Velocity based semi-active turbo-Lyapunov control algorithms for seismically excited nonlinear smart structures

摘要

This paper presents a novel turbo-Lyapunov control strategy for the semi-active control of a nonlinear highwaynbridge subjected to earthquake ground motions. An optimal control signal has been found to be strongly dependentnon the velocity across a magnetorheological (MR) damper. A turbo-Lyapunov control algorithm that utilizes thenrelationship between absolute velocity of the damper and control signal based on the traditional Lyapunov controlnalgorithm has been developed. In this approach, the control signal is calculated using an integrated traditionalnLyapunov function and a turbo-function. This turbo-function adds or subtracts additional voltage depending onnthe change in the absolute velocity across an MR damper. The performance of the proposed controller has beenninvestigated in reducing response quantities of the highway bridge benchmark model. The results show that thenproposed turbo-Lyapunov control strategy is quite competitive with respect to numerous other control approachesnin reducing response quantities of the benchmark bridge model. Copyright © 2012 John Wiley & Sons, Ltd.