Optimal displacement feedback control law for active tuned mass damper

Optimal displacement feedback control law is derived for a vibration control of a single‐degree‐of‐freedom structure with an active tuned mass damper (ATMD). Analytical expressions of the linear quadratic regulator (LQR) feedback gains for the ATMD are derived by solving the Ricatti equation straightforwardly. Based on these solutions, it is found that if the stiffness of the tuned mass damper (TMD) is calibrated to satisfy a certain condition, the control law is simplified to be composed of the feedback gains only for the displacement of the structure and the velocity of the auxiliary mass stroke, which is referred to as ‘optimal displacement feedback control’. The mean‐square responses of the structure as well as the auxiliary mass against Gaussian white noise excitations are evaluated by solving the Lyapunov equation analytically based on the stochastic optimal control theory. Using these analytical solutions, the optimal damping parameter for the auxiliary mass is also derived. Finally, the optimal displacement feedback control law is presented. Copyright © 2001 John Wiley & Sons, Ltd.     

Time‐delay effect and compensation on direct output feedback controlled mass damper systems

In active control, the control force execution time delay cannot be avoided or eliminated even with present technology, which can be critical to the performance of the control system. This paper investigates the influence of time delay on the stability of an SDOF system with an optimal direct output feedback controlled mass damper. An active mass damper system can take the form of a hybrid mass damper (HMD) or a fully active mass damper (AMD) depending upon imposed design constraints resulting from space, strength and power limitations. Explicit formulas and numerical solutions to determine the maximum delay time which causes onset of system instability are obtained. The control effect of the two‐DOF HMD/AMD benchmark system with and without time delay is illustrated quantitatively in a continuous‐time approach. In order to fit the digital implementation of the computer‐controlled system in practice, the control gains will be compensated by using their discrete‐time version to overcome the degradation of control effect due to time delay. Copyright © 2001 John Wiley & Sons, Ltd.     

SATMD与消能减震相结合的混合控制研究

根据模糊控制理论及抗震结构混合控制理论，利用自行设计的模糊控制器对波动调谐质量阻尼器（PTMD）子结构进行调谐控制以实现半自动化，同时在主结构上进行粘弹性阻尼器的优化设置，从而实现结构体系的多模态优化混合控制，最后提出半主动调谐质量阻尼器（SATMD）与消能减震相结合的混合控制实用设计方法。本文对推动结构混合控制理论的发展具有重要意义。     

Experimental verification of seismic vibration control using a semi‐active friction tuned mass damper

A tuned mass damper (TMD) system consists of an added mass with properly functioning spring and damping elements for providing frequency‐dependent damping in a primary structure. The advantage of a friction‐type TMD, that is, a nonlinear TMD, is its energy dissipation via a friction mechanism. In contrast, the disadvantages of a passive friction TMD (PF‐TMD) are its fixed and predetermined slip load and loss of tuning and energy dissipation capabilities when it is in a stick state. A semi‐active friction TMD (SAF‐TMD) is used to overcome these disadvantages. The SAF‐TMD can adjust its slip force in response to structure motion. To verify its feasibility, a prototype SAF‐TMD was fabricated and tested dynamically using a shaking table test. A nonsticking friction control law was used to keep the SAF‐TMD activated and in a slip state in earthquakes at varying intensities. The shaking table test results demonstrated that: (i) the experimental results are consistent with the theoretical results; (ii) the SAF‐TMD is more effective than the PF‐TMD given a similar peak TMD stroke; and (iii) the SAF‐TMD can also prevent a residual TMD stroke in a PF‐TMD system. Copyright © 2011 John Wiley & Sons, Ltd.     

结构模型的AMD主动控制试验

本文介绍了作者研究设计的ＡＭＤ装置。采用五层钢框架１：４模型ＡＭＤ系统安装在模型的顶层,采用多种地震动加速度记录在哈尔滨建筑大学力学与结构实验中心的地震模拟振动台上进行了结构的ＡＭＤ主动控制试验。试验结果表明：ＡＭＤ主动控制系统对结构地震反应的控制是非常有效的。     

A reduced‐order modeling technique for tall buildings with active tuned mass damper

It is impractical to install sensors on every floor of a tall building to measure the full state vector because of the large number of degrees of freedom. This makes it necessary to introduce reduced‐order control. A kind of system reduction scheme (dynamic condensation method) is proposed in this paper. This method is iterative and Guyan condensation is looked upon as an initial approximation of the iteration. Since the reduced‐order system is updated repeatedly until a desired one is obtained, the accuracy of the reduced‐order system resulting from the proposed method is much higher than that obtained from the Guyan condensation method. Another advantage of the method is that the reduced‐order system is defined in the subspace of the original physical space, which makes the state vectors have physical meaning. An eigenvalue shifting technique is applied to accelerate the convergence of iteration and to make the reduced system retain all the dynamic characteristics of the full system within a given frequency range. Two schemes to establish the reduced‐order system by using the proposed method are also presented and discussed in this paper. The results for a tall building with active tuned mass damper show that the proposed method is efficient for the reduced‐order modelling and the accuracy is very close to exact only after two iterations. Copyright © 2001 John Wiley & Sons, Ltd.     

Multi‐objective optimal design of FLC driven hybrid mass damper for seismically excited structures

Structural vibration control using active or passive control strategy is a viable technology for enhancing structural functionality and safety against natural hazards such as strong earthquakes and high wind gusts. Both the active and passive control systems have their limitations. The passive control system has limited capability to control the structural response whereas the active control system depends on external power. The power requirement for active control of civil engineering structures is usually quite high. Thus, a hybrid control system is a viable solution to alleviate some of the limitations. In this paper a multi‐objective optimal design of a hybrid control system for seismically excited building structures has been proposed. A tuned mass damper (TMD) and an active mass driver (AMD) have been used as the passive and active control components of the hybrid control system, respectively. A fuzzy logic controller (FLC) has been used to drive the AMD as the FLC has inherent robustness and ability to handle the non‐linearities and uncertainties. The genetic algorithm has been used for the optimization of the control system. Peak acceleration and displacement responses non‐dimensionalized with respect to the uncontrolled peak acceleration and displacement responses, respectively, have been used as the two objectives of the multi‐objective optimization problem. The proposed design approach for an optimum hybrid mass damper (HMD) system, driven by FLC has been demonstrated with the help of a numerical example. It is shown that the optimum values of the design parameters of the hybrid control system can be determined without specifying the modes to be controlled. The proposed FLC driven HMD has been found to be very effective for vibration control of seismically excited buildings in comparison with the available results for the same example structure but with a different optimal absorber. Copyright © 2002 John Wiley & Sons, Ltd.     

An active mass damper designed using ARX models of a building structure

This study proposes a new design method for an active mass damper (AMD) that is based on auto‐regressive exogenous models of a building structure. The proposed method uses the results of system identification in the field of active structural control. The uncontrolled structure is identified as auto‐regressive exogenous models via measurements under earthquake excitation and forced vibration. These models are linked with an equation of motion for the AMD to introduce a state equation and output equation for the AMD–structure interaction system in the discrete‐time space; the equations apply modern control theories to the AMD design. In the numerical applications of a 10‐degree‐of‐freedom building structure, linear quadratic regulator control is used to understand the fundamental characteristics of the proposed design procedure. The feedback control law requires the AMD's acceleration, velocity and stroke; the structure's acceleration; and the ground acceleration as vibration measurements. The numerical examples confirm the high applicability and control effectiveness of the proposed method. One remarkable advantage of the proposed method is that an equation of motion for the structure becomes unnecessary for designing controllers. Copyright © 2016 John Wiley & Sons, Ltd.     

结构最优主动调谐质量阻尼器风致振动控制的研究

基于我国现行的风荷载规范,建立了在风荷载作用下结构-主动调谐质量阻尼器(ATMD)系统的动力方程。定义ATMD最优参数准则为:结构-ATMD系统的位移或加速度响应方差的最小化。ATMD有效性的评价准则为:设置ATMD结构的最小化位移或加速度响应方差与未设置ATMD结构的位移或加速度响应方差之比(分别称为位移和加速度减振系数)。根据上述准则,在频域内数值研究了结构自振频率、标准化加速度反馈增益系数、质量比对ATMD系统的最优参数(包括最优频率比和阻尼比)、有效性和冲程的影响。此外,为了比较的目的,论文同时考虑了结构TMD风致振动控制的情况。     

地王大厦风振TMD主被动切换混合控制研究

本文采用调谐质量阻尼器对地王大厦这一高层建筑在风荷载作用下的顶点位移进行主被动混合控制，即508重现期风荷载作用下用TMD被动控制，1008重现期风荷载作用下切换为TMD主动控制。理论分析和计算表明，这种控制方式造价低，经济效果佳，以较小的能量输入可取得较优的控制效果。     

电磁驱动AMD系统控制结构地震响应的振动台试验

本文在此前一系列有关新型电磁驱动AMD控制系统力学建模、性能试验和控制策略研究的基础上,进行了结构地震响应控制的小型振动台试验研究。首先,针对配置了电磁驱动AMD控制系统的Quanser标准两层剪切型框架结构模型,建立了无控计算模型,通过正弦扫频试验验证了模型参数,从而为结构振动主动控制试验研究提供了准确的被控对象模型;其次,设计了电磁驱动AMD控制系统基于极点配置控制算法的试验控制策略和状态观测器,通过数值分析验证了状态观测器估计结果的准确性;最后,在完成以上各项准备工作的基础上,分别对结构输入了典型Benchm ark标准地震动,进行振动台试验,试验结果表明电磁驱动AMD控制系统对结构的地震响应具有显著的控制效果,验证了该新型系统应用于结构振动控制的有效性和可行性。     

Control strategies and experimental verifications of the electromagnetic mass damper system for structural vibration control

The electromagnetic mass damper （EMD） control system, as an innovative active control system to reduce structural vibration, offers many advantages over traditional active mass driver/damper （AMD） control systems. In this paper, studies of several EMD control strategies and bench-scale shaking table tests of a two-story model structure are described. First, two structural models corresponding to uncontrolled and Zeroed cases are developed, and parameters of these models are validated through sinusoidal sweep tests to provide a basis for establishing an accurate mathematical model for further studies. Then, a simplified control strategy for the EMD system based on the pole assignment control algorithm is proposed. Moreover, ideal pole locations are derived and validated through a series of shaking table tests. Finally, three benchmark earthquake ground motions and sinusoidal sweep waves are imposed onto the structure to investigate the effectiveness and feasibility of using this type of innovative active control system for structural vibration control. In addition, the robustness of the EMD system is examined. The test results show that the EMD system is an effective and robust system for the control of structural vibrations.     

Predictive control of seismic structures with semi‐active friction dampers

In this paper a predictive control method especially suitable for the control of semi‐active friction dampers is proposed. By keeping the adjustable slip force of a semi‐active friction damper slightly lower than the critical friction force, the method allows the damper to remain in its slip state throughout an earthquake of arbitrary intensity, so the energy dissipation capacity of the damper can be improved. The proposed method is formulated in a discrete‐time domain and cast in the form of direct output feedback for easy control implementation. The control algorithm is able to produce a continuous and smooth slip force for a friction damper and thus avoid exerting the high‐frequency structural response that usually exists in structures with conventional friction dampers. Using a numerical study, the control performance of a multiple degrees of freedom (DOF) structural system equipped with passive friction dampers and semi‐active dampers controlled by the proposed method are compared. The numerical case shows that by merely using a single semi‐active friction damper and a few sensors, the proposed method is able to achieve better acceleration reduction than the case using multiple passive dampers. Copyright © 2004 John Wiley & Sons, Ltd.     

AVS/D半主动振动控制结构的抗震设计方法探讨

本文介绍了AVS／D半主动控制系统的工作原理,参照现行抗震设计规范的设计思想,提出了AVS／D半主动控振结构的抗震设计方法,并针对具体结构控制系统的工作性能,探讨了结构设计中关键参数：主体结构的地震力折减系数和薄弱层层间位移相对控制率的确定方法,最后通过实例分析验证了该方法的可行性。     

Dynamic loading test and simulation analysis of full‐scale semi‐active hydraulic damper for structural control

A semi‐active hydraulic damper (SHD) for a semi‐active damper system, which is useful for practical structural control especially for large earthquakes, has been developed. Its maximum damping force is set to 1 or 2 MN, and it is controlled by only 70 W of electric power. An SHD with a maximum damping force of 1 MN was applied to an actual building in 1998. This paper first presents the results of a dynamic loading test to confirm the control performance of the SHD. Next, an analytical model of SHDs (SHD model) is constructed with the same concept for two kinds of SHDs based on the test results. Through simulation analyses of the test results using the proposed SHD model, the dynamic characteristics of the SHD can be well represented within practical conditions. Simulation analyses are also carried out using a simple structure model with the SHD model. It is shown that this SHD model can be used to precisely evaluate the control effect of the semi‐active damper system and is useful in practical SHD design under the applied conditions. Copyright © 2000 John Wiley & Sons, Ltd.     

调质阻尼器地震反应控制应用研究

本文在结构地震反应时程分析基础上,研究调质阻尼器控制地震反应的最优参数设计方法,分析了多自由度体系的阻尼器设计以及调质阻尼器控制的失调效应．并用算例验证了该设计方法用于地震反应控制的可行性。     

基于加速度反馈的结构地震反应半主动MR阻尼控制试验

本文针对安装有半主动磁流变阻尼器（MR damper)的一座二层模型结构进行了抗震振动台试验研究，通过采用基于加速度反馈控制策略的两种半主动控制算法进行了在各种地震动作用下模型结构的半主动控制的抗震试验研究，并进行了Passive-on和Passive-off两种被动控制的试验研究。试验结果表明，MR阻尼器作为一种半主动控制装置可以有效地控制结构的峰值位移和均方差反应，且半主动控制对结构顶层的峰值位移和均方差的控制效果均优于两种被动控制方法。因此，本文提出的两种半主动控制算法都是有效的，并宜于实现。     

结构主动与被动调谐质量阻尼器的减震性能

使用Kanai-Tajimi地震动模型,建立了主动调谐质量阻尼器(ATMD)结构系统的传递函数。将ATMD最优参数的评价准则定义为：设置ATMD结构均方根位移(解析式)的最小值的最小化。将ATMD有效性的评价准则定义为：设置ATMD结构均方根位移的最小值的最小化与未设置ATMD结构的均方根位移之比。根据逃择的评价准则,评价了地震卓越频率系数(EDFR)对ATMD抗震控制性能的影响。同时也评价了EDFR对被动调谐质量阻尼器(PTMD)抗震控制性能的影响。