An Adaptive Controller Design for ATMD System Used in Structures Under the Effect of Unknown Nonlinear Effects

Abstract

Active tuned mass damper (ATMD) devices are favored in many applications to reduce vibrations induced by earthquakes in multi-story structures. In the literature, the Lyapunov-based controller design for ATMD systems is a popular topic of research. The building structures have been modeled linearly in the majority of studies so far in the literature. As a result, the controls in these researches are linear as well. Only a few studies have considered the nonlinear dynamics of multi-story structures, however, in these works, linear control schemes employing various linearization approaches are provided. Nonlinear behavior is the inherent behavior of multi-story buildings with ATMD systems. As a consequence, studying nonlinear dynamics while designing a nonlinear controller is regarded to be a more realistic approach. Furthermore, numerous unpredictable external factors should be considered during control design to guarantee that the control systems are able to operate securely in any environment. In order to create a more realistic approach, the linear model of the multi-story structure is reconfigured in this work by adding nonlinear ambiguous functions to it. It was assumed in this study that the structural parameters were unknown at the time of controller design. Adaptive compensation rules replace all system parameters of the system necessary in control design. Theoretically, Lyapunov-based arguments are used to show that the developed controller can keep the structure stable while attaining the main control aim. Matlab-Simulink is used to analyze the performance of the developed controllers.