A robust adaptive control design for active tuned mass damper systems of multistory buildings

Abstract

In this study, a robust adaptive controller is designed to be used in an active tuned mass damper system that can be used to damp undesired vibrations that occurred on the multistory buildings during the earthquake. To realize the controller design, all of the system parameters are assumed to be unknown, and the adaptive structure of the designed controller is obtained by designing adaptive compensation rules for system parameters. A backstepping control design approach is utilized for the control design by considering the appropriateness of the system’s structure of multistory buildings having an active tuned mass damper system at the top of the structure. The proposed control design is supported with a Lyapunov-based stability analysis where it is proven that the designed controller is able to protect the overall system’s stability while reaching the main control purpose. In addition to these, in the simulation studies realized for a nine-story building under the effect of a major earthquake, it is shown that the designed controller can be used to reach the main control purpose efficiently.

Hybrid skyhook mass damper

“…In practice, the simple control law defined in equation (11) will correct TMD's dynamical behavior to generate a virtual skyhook damper attached to the ground. This fact is noticeable because it provides absolute damping on the primary structure, even for embedded applications.…”

“…Then, by introducing the proposed control law H(s) defined in equation (11), the mechanical impedance of the proposed device is: = Z T M D + Z SkyHook (16) One can clearly identify the terms representing the mechanical impedance of a purely passive TMD (Z T M D ) in parallel to skyhook damper with a damping value g (= Z SkyHook ). The resulting mechanical system is illustrated in Figure 2c.…”

“…Few of these configurations are hyperstable. In many cases, the stability is ensured by more complex controllers necessitating feedback loops using many measurements, such as the backstepping control approach [11], H ∞ robust control [12], zero/pole-assignment [13], and fuzzy neural network algorithm [14]. Hybridization can also be used to reduce the power consumption of an active controller [15], or embedded on a rotating machine, can be fully autonomous [16].…”

A backstepping control design for ATMD systems of building structure against earthquake excitations in the presence of parametric uncertainty

“…Soleymani et al 17 designed a sliding mode controller that also includes a dynamic state predictor for control the experimental ATMD system. Ümütlü et al 18 designed a robust adaptive controller for damping vibration of the multistory building that under the effect of strong earthquakes. Karami et al 6 utilized semi‐active controller ATMD for damping the vibration of structure using integrated damage detection.…”

“…28,29 However, the structure created in this study is completely different from this and is based on compensating for unknown system parameters. Ümütlü et al 18 only controlled the vibration of the structure and have not to deal with the vibration of the controller mass as in the other studies in the literature. However, considering that it is important to control the vibration of the controller mass, this study was conducted, unlike similar studies in the literature and previous study by the authors.…”