Optimal displacement feedback control law for active tuned mass damper

LQR control of wind induced motion of a benchmark building is considered. The building is fitted with a semiactive variable stiffness tuned mass damper adapted from the literature. The nominal stiffness of the device corresponds to the fundamental frequency of the building and is included in the system matrix. This results in a linear time-invariant system, for which the desired control force is computed using LQR control. The control force thus computed is then realized by varying the device stiffness around its nominal value by using a simple control law. A nonlinear static analysis is performed in order to establish the range of linearity, in terms of the device (configuration) angle, for which the control law is valid. Results are obtained for the cases of zero and nonzero structural stiffness variation. The performance criteria evaluated show that the present method provides displacement control that is comparable with that of two existing controllers. The acceleration control, while not as good as that obtained with the existing active controller, is comparable or better than that obtained with the existing semiactive controller. By using substantially less power as well as control force, the present control yields comparable displacement control and reasonable acceleration control.

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Hybrid Mass Damper Experimental Analysis of Shock Response

Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation, and Control of Adaptive Systems; Integrated System Design and Implementation ◽

10.1115/smasis2018-8025 ◽

2018 ◽

Author(s):

Kevin Billon ◽

Matthias Perez ◽

Simon Chesné ◽

Guoying Zhao ◽

Christophe Collette

Keyword(s):

Tuned Mass Damper ◽

Control Law ◽

Electromagnetic System ◽

Velocity Feedback ◽

Experimental Parameters ◽

Mass Damper ◽

Spring System ◽

Fail Safe ◽

Mass Spring ◽

System Controller

In this paper, an hybrid mass dampers (HMD) and its control law are studied. Based on a optimal tuned mass damper (TMD), it is a one degree of freedom (dof) mass-spring system associated with an electromagnetic system. The passive damping is provided by the coil-magnet combination coupled with a tunable load. The passive resonator has been modify to become “dual”, a second coil-magnet combination has been had on the same dof to create an active part. The control law is a modified velocity feedback with phase compensator. The proposed hybrid system controller is hyperstable and ensure a fail-safe behavior. The HMD is experimentally tested at 1:1 scale. It is carried out on a main structure suspended by flexible blades. The numerical model, with experimental parameters identification, provides good results. Under shock disturbance, experimental results show the ability of this system to react quickly and dissipate energy in comparison with the passive one.

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Robust Design Method of Multi-Degree-of-Freedom Passive Tuned Mass Damper by Control Theory

Volume 8: Seismic Engineering ◽

10.1115/pvp2006-icpvt-11-93364 ◽

2006 ◽

Author(s):

Daisuke Iba ◽

Arata Masuda ◽

Akira Sone

Keyword(s):

Feedback Control ◽

Control Theory ◽

Output Feedback ◽

Design Problem ◽

Design Method ◽

Tuned Mass Damper ◽

Degree Of Freedom ◽

Design Parameters ◽

Feedback Gain ◽

Mass Damper

This paper proposes a design method of a multi degree of freedom passive tuned mass damper with robust performance. In this study, the passive tuned mass damper is designed from the view of feedback control theory. Design parameters of the general passive tuned mass damper can be thought to be a feedback gain, and designed by replacing the design problem of the passive tuned mass damper with the output feedback control problem. Moreover, for giving the tuned mass damper robustness, an extended model is constructed by two main systems that have maximum and minimum natural frequencies in the given variable domain of parameters, and one static output feedback H∞ controller reduces the maximum value of frequency response of the extended plant. In this paper, it was confirmed to be able to design the single-degree-of-freedom tuned mass damper with robustness by this method. Moreover, this method was enhanced to the design problem of the multi-degree-of-freedom tuned mass damper that was placed on the multi-degree-of-freedom vibration system, and finally a numerical simulation confirmed the effectiveness.

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Design of a tuned mass damper for seismic excited building via H/sub ∞/ output feedback control

Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104) ◽

10.1109/cca.1998.728592 ◽

2002 ◽

Author(s):

A. Poncela ◽

W.E. Schmitendorf

Keyword(s):

Feedback Control ◽

Output Feedback ◽

Output Feedback Control ◽

Tuned Mass Damper ◽

Mass Damper

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Power Flow Analysis for Hybrid Mass Damper Design

Volume 8: 30th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2018-85813 ◽

2018 ◽

Author(s):

S. Chesne ◽

K. Billon ◽

C. Collette ◽

G. Zhao

Keyword(s):

Power Flow ◽

Flow Analysis ◽

Tuned Mass Damper ◽

Control Law ◽

Unconditionally Stable ◽

Active Systems ◽

Mass Damper ◽

Damper Design ◽

Fail Safe ◽

Damping Capability

Tuned Mass Damper (TMD) are largely used in many domains like aerospace or civil engineering. While very simple and robust, their damping capability is proportional to their mass, which represents an important shortcoming. Hybrid-TMDs propose to combine active systems to an optimal passive device. Nevertheless, stability problems can result from this association. In this study, the passivity concept is used to design a control law enforcing the hybrid-TMD to be hyperstable. Consequently, the resulting Hybrid TMD is fail-safe and unconditionally stable. An analysis of the active and reactive powers also illustrates the energy flux in the device and its passive nature. Simulations based on an experimental model show the performance of such system.

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Hybrid mass damper: theoretical and experimental power flow analysis

Journal of Vibration and Acoustics ◽

10.1115/1.4053480 ◽

2022 ◽

pp. 1-18

Author(s):

Kevin Billon ◽

Guoying Zhao ◽

Christophe Collette ◽

Simon Chesne

Keyword(s):

Power Flow ◽

Flow Analysis ◽

Tuned Mass Damper ◽

Control Law ◽

Hybrid Device ◽

Hybrid Controller ◽

Mass Damper ◽

The Time Domain ◽

Fail Safe ◽

Specific Control

Abstract In this paper, a hybrid mass damper (HMD) and its hyperstability thanks to a power flow approach are studied. The HMD proposed combines an active control system with an optimal passive device. The initial passive system is an electromagnetic Tuned Mass Damper (TMD) and the control law is a modified velocity feedback with a phase compensator. The resulting hybrid controller system is theoretically hyperstable and ensures fail-safe behavior. Experiments are performed to validate the numerical simulation and provide good results in terms of vibration attenuations. Both excitation from the bottom in the frequency domain and shock response in the time domain are tested and analyzed. The different power flows in terms of active and reactive powers are estimated numerically and experimentally on the inertial damper (passive and active) and on the HMD. More over, through a mechanical analogy of the proposed system, it is shown that this hybrid device can be seen as an active realization of an inerter based tuned-mass-damper associated with a sky-hook damper. Observations and analysis provide insight into the hyperstable behavior imposed by the specific control law.

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Prediction of Solutions of the Duffing System with Tuned Mass Damper

Mechanics and Mechanical Engineering ◽

10.2478/mme-2018-0078 ◽

2020 ◽

Vol 22 (4) ◽

pp. 983-990

Author(s):

Konrad Mnich

Keyword(s):

Dynamical System ◽

Duffing Oscillator ◽

Probabilistic Approach ◽

Nonlinear Dynamical System ◽

Tuned Mass Damper ◽

Nonlinear Dynamical ◽

Duffing System ◽

Mass Damper ◽

Basin Stability ◽

Stability Concept

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.

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