Predictive Control with Dynamic Hysteresis ‎Reference ‎Trajectory: Application to a Structural Base-‎Isolation ‎Model

Over the last decades, in the field of control engineering, Model Predictive Control (MPC) has been successfully ‎employed in many industrial processes. This due to, among other aspects, its capability to include constrains within ‎the design control formulation and also its ability to perform on-line optimization. For instance, in the civil ‎engineering field, different MPC approaches have been well developed to formulate active control algorithms able ‎to reduce civil structural responses to earthquakes. Thus, in this paper, a customized version of a conventional ‎Predictive Control (PC) strategy is proposed to mitigate the displacement on a base-isolated system with a ‎nonlinear hysteresis behavior, that is excited by a seismic event. The proposal consists of including a dynamic ‎hysteresis system into the control scheme to generate a reference trajectory that will softly drive the base-isolated ‎structure to a rest status. The proposed control scheme is evaluated through numerical experiments, and then its ‎performance is compared with respect to the conventional Predictive Control methodology. According to the ‎numerical experiments, the approach here presented results more efficient than the conventional method due to ‎the use of a suitable linear model of the structural system plus a new Driver Block with dynamic hysteresis within ‎the Predictive Control scheme‎.