Control Law and Actuator Capacity Effect on the Dynamic Performance of a Hybrid Mass Damper; The Case of Rottweil Tower

Abstract

This paper considers different vibration control options for a real high-rise tower subjected to real wind loading. To mitigate excessive responses, the tower utilizes a hybrid passive -active control system with a relatively small actuator capacity. Firstly, the methodology for establishing a reduced order numerical model of the tower from a finite element realization is presented. Subsequently, to deal with physical constraints, a Model Predictive Control (MPC) algorithm is employed and compared to a more conventional Linear Quadratic Regulator (LQR). In both cases, the algorithms managed to keep the dynamic displacements within the set desired limit. It was concluded that, the MPC had a better performance when compared to the LQR in terms of peak amplitudes at the expense though of energy.

Robust structural control of a real high‐rise tower equipped with a hybrid mass damper

“…The originally bi‐directional HMD is herein used as a uni‐directional control system, without though any loss of generality. For the derivation of the reduced‐ordered model, the authors followed the same procedure described in Koutsoloukas et al, [ 31 ] where a nominal MPC was designed for the control of the same tower and its performance was compared against an LQR and the equivalent passive TMD. The damping matrix was determined using the Rayleigh approximation with critical damping ratio of 1% for modes 1 (0.17 Hz) and 5 (5.88 Hz).…”

“…In general, various examples of MPC applications can be found in the literature specific to civil engineering control systems, demonstrating the effectiveness of the actual scheme. [28][29][30][31][32][33][34][35][36][37][38][39] To the authors' best knowledge, the RMPC has not been applied for the vibration mitigation of a real high-rise building application before. For this reason, the effectiveness of the RMPC will be demonstrated within this study, by developing two controllers; one designed for the best possible response mitigation performance, and one designed for reduced power consumption.…”

Passive, semi-active, active and hybrid mass dampers: A literature review with associated applications on building-like structures

“…Lastly, it was mentioned that, when the actuator saturation changed from 779 kN to 1000 kN the control system had an enhanced performance of 52% on the structural displacement reduction. Koutsoloukas et al (2020) considered the vibration control of a real high-rise tower using an ATMD. For the control of the mass damper system, the authors developed an MPC with a Kalman filter.…”