Seismic motion control of structures: A developed adaptive backstepping approach

This paper presents a robust control scheme to regulate seismic vibrations in MDOF structural systems. Due to difficulties in real-time measurement of ground motion acceleration and also intrinsic uncertain nature of structural damping, it is assumed that these data are not available for control purposes. First, these uncertain data are estimated by appropriate adaptive laws. Then a developed adaptive backstepping control strategy is used to propose a control law which only depends on feedback measurements of displacement and velocity vectors. Two numerical examples are provided and the result of the proposed approach is presented in comparison with LQR design.

► Adaptive backstepping is used to make displacement vector track a reference signal. ► Feedbacks of displacement and velocity vectors are used. ► Uncertainty in the damping matrix is considered. ► The unmeasured seismic acceleration is compensated by a proper adaptive law.