Modified Sliding Mode Control for Wind-Excited Benchmark Problem

Among promising control strategies, the sliding mode control is particularly robust with respect to structural uncertainty. In this paper, a modified sliding mode control (MSMC) strategy using dynamic output feedback is presented and demonstrated for the wind-excited benchmark building equipped with an ATMD (active tuned mass damper) control device. The main advantage of the MSMC presented is its ability to systematically modulate the control effort through the introduction of a prefilter prior to the control force. For practical implementation of a MSMC using acceleration measurements at strategic locations, a Kalman–Bucy filter type of observer is designed based on the augmented system. Hence the sliding surface design is composed of the observer state, and the modulation of control forces can be achieved by forming an optimization problem with a linear quadratic objective function. As shown by the simulation results of the wind-excited benchmark building, the modified sliding mode controller indeed has the capability of systematically modulating the control force. Moreover, the remarkable performance of the MSMC demonstrates that the strategy presented is suitable for the wind-excited tall buildings.     

Study on Sinusoidal Reference Strategy-Based Adaptive Feedforward Control Applied to Benchmark Wind-Excited Building

The sinusoidal reference strategy (SRS) is a new strategy developed by the present authors for adaptive feedforward vibration control. The recursive-least-squares algorithm is used and a higher frequency sinusoidal signal is adopted as the reference signal. Some shortcomings of the conventional adaptive feedforward control are overcome. Numerical simulations and experimental studies have been carried out. The results show that this strategy can reduce vibration remarkably, and can adapt in real time to dynamic uncertainties and modeling errors. In this paper, the principle of SRS-based adaptive feedforward control is briefly introduced first, then simulation studies are conducted on reducing wind-induced response of the benchmark wind-excited building. The results are also compared to that obtained from linear quadratic Gaussian control.     

Benchmark Problem for Response Control of Wind-Excited Tall Buildings

This paper presents an overview and problem definition of a benchmark problem for the response control of wind-excited tall buildings. The building considered is a 76-story 306 m concrete office tower proposed for the city of Melbourne, Australia. The building is slender with a height to width ratio of 7.3; hence, it is wind sensitive. Wind tunnel tests for such a 76-story building model have been conducted at the University of Sydney and the results of across-wind data are used in the present benchmark problem. Either active, semiactive, or passive control systems can be installed in the building to reduce the wind response, although only an active control sample problem has been worked out to illustrate the control design. In the case of active control systems, either an active tuned mass damper or an active mass driver can be installed on the top floor. In the case of passive or semiactive systems, such as viscous dampers, viscoelastic dampers, electrorheological, or magnetorheological dampers, etc., control devices can be installed in selected story units. Control constraints and evaluation criteria are presented for the design problem. A simulation program based on the linear quadratic Gaussian technique has been developed and made available for the comparison of the performance of various control strategies.     

Multiobjective Optimal Fuzzy Logic Control System for Response Control of Wind-Excited Tall Buildings

Performance of the structure includes both the safety as well as comfort level for the user. The safety of the structure mainly depends on the displacement response, while the comfort level of occupants depends on the acceleration response. In this paper, an approach for multiobjective optimal design of a fuzzy logic controller (FLC)-driven active tuned mass damper (ATMD) has been proposed. The evaluation criteria for both the acceleration and displacement responses have been used as the two objective functions for this multiobjective optimization problem. As a multiobjective optimization approach provides a set of Pareto-optimal solutions, the user is allowed to select an appropriate design for the specific performance requirement. The effectiveness and performance of the proposed FLC-driven ATMD has been investigated for the third-generation benchmark problem for the response control of wind-excited tall buildings. A multiobjective optimization version of the genetic algorithm has been used for obtaining the FLC and ATMD design parameters, as this approach is more effective in handling a discontinuous and nonconvex domain. Performance of the proposed control system has been found to be better than the sample controller given in the benchmark problem. The proposed controller is less sensitive than the sample controller for the variation in the stiffness of the structure.     

Wind-Induced Response Characteristics of Monolayer Cable Net

Monolayer cable net system supporting glass facades is structurally sensitive to wind excitations. At present, there are limited researches on its wind-induced vibration performance, therefore it appears imperative to understand the wind-resistant behavior of this type of cable net. The wind-induced response of the monolayer cable net subjected to fluctuating wind loads is investigated with frequency-domain method in this paper, when the cable net deforms to the balance position under the mean wind loads. Some critical factors to wind-induced response are highlighted, including participation property of the modes in the dynamic vibration, and coupling effect among modes. The response spectrum of the cable net is also intensively investigated. It is shown that the first mode dominates wind-induced response significantly in all the modes, and the modes contributing to the wind-induced responses prominently are distributed in a narrow band of low order modes. When some lower modes and coupling effects among these modes are considered, the results in frequency domain agree well with the corresponding results obtained from time domain method, which are adequate for engineering practice. The characteristics of response spectrum of the nodal displacements are similar to those of the cable forces. When the wind loads and structural parameters vary in practical ranges in engineering, the resonant component in the total response sometimes occupies larger part in the total fluctuating wind response of the cable net, while the background component dominates in the wind response more commonly. Nevertheless, the first mode makes the largest contributions, no matter the background or the resonant component dominates.     

基于模糊滑模方法的不确定机器人神经网络控制

针对不确定机器人轨迹跟踪控制,提出了基于模糊滑模方法下的神经网络自适应控制,其中RBF神经网络集中补偿系统的不确定性,利用带边界层滑模变结构方法消除了神经网络的逼近误差,并通过模糊方法动态确定边界层宽度,很好的解决了滑模控制中的抖振现象。仿真实例表明,该控制律能保证误差的快速收敛性及对参数不确定性和外部扰动的鲁棒性。     

Active Control of Cross Wind Response of 76-Story Tall Building Using a Fuzzy Controller

This paper focuses on the benchmark problem application regarding the vibration control of tall buildings under cross wind excitation. The building under consideration is the 76-story, 306-m tall reinforced concrete office tower proposed for the city of Melbourne, Australia. The adopted control scheme consists of an active tuned mass damper (ATMD) where the control action is achieved by a fuzzy logic controller (FLC). The main advantage of the FLC is its inherent robustness and ability to handle any nonlinear behavior of the structure and the fact that its implementation does not require a mathematical model of the structure. This benchmark study is based on specified design constraints for the ATMD to be considered in the design of the proposed control scheme. The performance of the controller has been demonstrated through the uncertainty in stiffness (+15 and ?15% variation from initial stiffness) of the building. The results of the simulation show a good performance by the fuzzy controller for all cases tested. Also the results show that the fuzzy controller performance is similar to the linear quadratic Gaussian (LQG) controller, while possessing several advantages over the LQG controller.     

Generalized Linear Quadratic Gaussian Techniques for the Wind Benchmark Problem

This paper presents a comprehensive study of the stage-3 benchmark problem for response control of wind-excited tall buildings based on the linear quadratic gaussian (LQG) approach, and on its generalization, the k-cost-cumulant control method. For control design, the original nodal building model is first transformed into balanced modal space. The Hankel singular values (HSVs) and the power spectral density of the wind disturbances are calculated; and, based on them, a reduced-order model is derived by keeping the first six low-frequency modes. A balanced LQG (BLQG) controller is then determined by adopting the HSVs as a basis to choose the design weights. The main results of the paper are that the BLQG control design is able to come within 5–10% of the performance of the sample LQG controller supplied with the benchmark, but with control actions on the order of one-third less than the sample LQG, and with stability improvement features of a substantial nature over the range of stiffness perturbations specified in the benchmark. Finally, if the low authority BLQG controller is regarded as a one-cost-cumulant design, then with the appropriate use of the second-cost cumulant, the latter methodology is able to demonstrate how higher-authority controllers can give certain improvements in performance, but at the expense of significant investment in control action.     

Wind Response Control of Building with Variable Stiffness Tuned Mass Damper Using Empirical Mode Decomposition/Hilbert Transform

The effectiveness of a novel semiactive variable stiffness-tuned mass damper (SAIVS-TMD) for the response control of a wind-excited tall benchmark building is investigated in this study. The benchmark building considered is a proposed 76-story concrete office tower in Melbourne, Australia. It is a slender building 306 m tall with a height to width ratio of 7.3; hence, it is wind sensitive. Across wind load data from wind tunnel tests are used in the present study. The objective of this study is to evaluate the new SAIVS-TMD system, that has the distinct advantage of continuously retuning its frequency due to real time control and is robust to changes in building stiffness and damping. In comparison, the passive tuned mass damper (TMD) can only be tuned to a fixed frequency. A time varying analytical model of the tall building with the SAIVS-TMD is developed. The frequency tuning of the SAIVS-TMD is achieved based on empirical mode decomposition and Hilbert transform instantaneous frequency algorithm developed by the writers. It is shown that the SAIVS-TMD can reduce the structural response substantially, when compared to the uncontrolled case, and it can reduce the response further when compared to the case with TMD. Additionally, it is shown the SAIVS-TMD reduces response even when the building stiffness changes by ±15% and is robust; whereas, the TMD loses its effectiveness under such building stiffness variations. It is also shown that SAIVS-TMD can reduce the response similar to an active TMD; however, with an order of magnitude less power consumption.     

Model Predictive Control of Structures under Earthquakes using Acceleration Feedback

This paper presents a general formulation of the model predictive control (MPC) scheme with special reference to acceleration feedback in structural control under earthquakes. The MPC scheme is based on a prediction model of the system response to obtain the control action by minimizing an objective function. Optimization objectives include minimization of the difference between the predicted and desired response trajectories, and of the control effort subject to certain constraints. The effectiveness of MPC has been demonstrated to be equivalent to the optimal control. In this study, the prediction model is formulated using a feedback loop containing acceleration measurements from various locations in the structure. The state observer utilizes the Kalman-Bucy filter to estimate the states of the system from the acceleration feedback. Examples of single-story and three-story buildings equipped with control devices are used to demonstrate the effectiveness of the MPC scheme based on acceleration feedback. Both buildings are analyzed using an active tendon control device and an active mass damper (AMD). A two-story building with an AMD is used to experimentally validate the numerical control scheme. The results demonstrate the effectiveness of the MPC scheme using acceleration feedback. The acceleration feedback framework developed in this paper should serve as a building block for future extensions of MPC in capturing and benefiting from the attractive features of MPC, i.e., computational expediency, real-time applications, intrinsic compensation for time delays, and treatment of constraints, for implementation in civil structures.     

Linear Multiobjective Control Strategies for Wind-Excited Buildings

Two multiobjective control strategies are presented and applied to the wind-excited benchmark problem. The first strategy, referred to as the energy-to-peak based controller, deals with a class of “energy-bounded” excitations, whereas the second strategy, referred to as the peak-to-peak based controller, addresses a class of peak-bounded excitations. Both control strategies are derived by minimizing the sum of weighted peak response quantities with the constraints (or penalties) on the peak values of another set of quantities such as the control resources. Both the state feedback and dynamic output feedback controllers are derived and presented. The design syntheses of these two control strategies are developed and formulated within the framework of linear matrix inequalities (LMIs), so that the LMI toolbox in MATLAB can be used effectively and conveniently. These two control strategies are applied to the wind-excited 76-story benchmark building to demonstrate their applicability and control performances. Simulation results illustrate that the proposed control strategies are viable for civil engineering structures, and their performances are excellent in comparison with that of the linear quadratic Gaussian sample controller.     

Identification of Natural Frequencies and Dampings of In Situ Tall Buildings Using Ambient Wind Vibration Data

An accurate prediction for the response of tall buildings subject to strong wind gusts or earthquakes requires the information of in situ dynamic properties of the building, including natural frequencies and damping ratios. This paper presents a method of identifying natural frequencies and damping ratios of in situ tall buildings using ambient wind vibration data. Our approach is based on the empirical mode decomposition (EMD) method, the random decrement technique (RDT), and the Hilbert–Huang transform. Our method requires only one acceleration sensor. The noisy measurement of the building acceleration is first processed through the EMD method to determine the response of each mode. Then, RDT is used to obtain the free vibration modal response. Finally, the Hilbert transform is applied to each free vibration modal response to identify natural frequencies and damping ratios of in situ tall buildings. The application of the proposed methodology is demonstrated in detail using simulated response data of a 76-story benchmark building polluted by noise. Both the along-wind and across-wind vibration measurements have been illustrated. Simulation results demonstrate that the accuracy of the proposed method in identifying natural frequencies and damping ratios is remarkable. The methodology proposed herein provides a new and effective tool for the parametric identification of in situ tall buildings.     

Linear Quadratic Gaussian-Alpha Control with Relative Stability and Gain Parameter for the Structural Benchmark Problems

This paper introduces a linear quadratic Gaussian (LQG)-α control with adjustable relative stability and gain parameter for the benchmark problems. The considered control algorithm is one active control methodology. It provides a various relative stability and introduces a gain parameter via a LQG design. The relative stability not only controls a guaranteed settling time for the system but also increases the controlled system robustness. The paper focuses on both wind- and earthquake-excited benchmark problems of the third generation. The simulation of this LQG-α control to these benchmark problems is provided. An additional simulation of the proposed control to a largely perturbed wind-excited benchmark problem is also provided. The control results, with respect to the evaluation criteria following the benchmark problems, are included for further comparison.     

Adaptive Feedback–Feedforward Control of Building Structures

This paper proposes a combined feedback–feedforward control algorithm for reducing structural response of buildings to seismic excitations. The controller contains both feedback and feedforward components. The feedback component is assumed to be the same as that found from traditional linear quadratic regulator design. The feedforward component is obtained by estimating the external excitation as a series of step functions at each time increment. This feedforward gain varies with the duration of the step function used for estimation and converges as the time duration increases. Thus, a finite number of precalculated gains can be used to represent the potential feedforward gain profile. At any instant in time, the excitation is measured and by using the past measurements, the most effective feedforward gain for the recorded excitation values can be selected from the set of precalculated gains. This value is used as the feedforward gain for the current time step. Numerical examples are presented to show the effectiveness of this adaptive control scheme. The effects of varying the control objectives, the updating time for the feedforward gain, and the number and location of actuators are studied.     

Benchmark Control Problems for Seismically Excited Nonlinear Buildings

This paper presents the problem definition and guidelines of a set of benchmark control problems for seismically excited nonlinear buildings. Focusing on three typical steel structures, 3-, 9-, and 20-story buildings designed for the SAC project for the Los Angeles, California region, the goal of this study is to provide a clear basis to evaluate the efficacy of various structural control strategies. A nonlinear evaluation model has been developed that portrays the salient features of the structural system. Evaluation criteria and control constraints are presented for the design problems. The task of each participant in this benchmark study is to define (including sensors and control algorithms), evaluate, and report on their proposed control strategies. These strategies may be either passive, active, semiactive, or a combination thereof. The benchmark control problems will then facilitate direct comparison of the relative merits of the various control strategies. To illustrate some of the design challenges, a sample control strategy employing active control with a linear quadratic Gaussian control algorithm is applied to the 20-story building.     

基于无线传感器扭矩检测的轧机扭振前馈控制

 针对轧机轧辊反复正反转咬钢抛钢受到突然强有力的冲击时扭振现象极为严重的情况,研究采用扭矩无线传感器实时采回负载干扰值,解决了现有的扭振抑制方法中采用扭振预估器计算扭振时容易出现偏差的问题;利用前馈能在扰动发生时提前做出干扰补偿的原理,在大型轧机交交变频调速系统定子转矩电流与转速双闭环的基础上,在转矩控制器的输入端加入负载扭矩扰动补偿,提前控制定子电流转矩分量而达到控制扭振的目的,并用Simulink对上述过程进行仿真。结果表明：基于无线传感的扭振前馈抑制方式对扭振的控制效果非常明显,几乎可以彻底消除扭振,更贴近实际。     

Vibration Control of the Wind-Excited 76-Story Benchmark Building by Liquid Column Vibration Absorbers

A study has been undertaken on the effectiveness of using liquid column vibration absorbers (LCVAs), in the suppression of wind-induced motion of the 76-story benchmark building. Much work has been undertaken on the behavior of the LCVA on an experimental level and its benefits have been demonstrated for wind-induced vibration control on a full-scale communications tower in Sydney, Australia, with a further installation being made on the “One Wall Center Building” Vancouver, Canada. The behavior of the LCVA has also been investigated numerically by use of computational fluid dynamics, and its potential has been illustrated in controlling a five-story building model. In this study, the LCVA adopted is composed of four identical columns of water. Initially, the performance of the LCVA is assessed without the inclusion of additional damping enhancing mechanisms. Subsequently, the same LCVA is considered with the inclusion of orifice plates, allowing a direct comparison of the two strategies. In order to address the issue of robustness, the sensitivity of the LCVA (with and without orifice) to mistuning is examined by perturbing the structural stiffness of the building by +15% and ?15%, respectively. From this, an indication of the system performance under conditions of mistuning has been assessed. The performance of the adopted LCVA has also been compared to that of the sample tuned mass damper (TMD) control device. The overall response reductions of the LCVA are shown to be comparable to the TMD. Furthermore, it is shown that the LCVA has several inherent features that make it more attractive than the classical TMD.     

六辊冷连轧机板形前馈控制模型的研究

冷连轧过程中,轧制力波动对板形的影响很大,需要采用弯辊力进行实时的补偿。针对六辊冷连轧机,分别研究了仅用工作辊弯辊和采用工作辊与中间辊弯辊相结合的板形前馈控制模型。实际控制效果表明,这两种板形前馈控制模型都能有效消除轧制力波动对板形产生的不利影响;采用工作辊弯辊的板形前馈控制模型只能控制由于轧制力波动产生的二次板形,而对四次板形几乎不产生影响;而采用工作辊与中间辊弯辊相结合的板形前馈控制模型则对二次和四次板形均具有很强的控制能力。     

Application of Centralized and Decentralized Control to Building Structure: Analytical Study

This paper presents both the centralized and decentralized control strategies by using semiactive control devices (magnetorheological dampers) for building structural control under seismic excitations. The control algorithms used in this study only focus on the linear quadratic Gaussian control theory with acceleration measurements as feedback signals. In the centralized control, the control force is generated directly from the measurement in each degree of freedom, while in the decentralized control, only measurement from local subsystems is used to calculate the control force with respect to the locations of control devices and measurements. Four groups of centralized/decentralized control algorithms are studied: fully centralized control, fully decentralized control, half-centralized control, and partially decentralized control. The ASCE 20-story benchmark building is selected as an example to evaluate the control performance among different control strategies.     

Implementation of Modal Control for Seismically Excited Structures using Magnetorheological Dampers

This paper proposes an implementation of modal control for seismically excited structures using magnetorheological (MR) dampers. Many control algorithms such as clipped-optimal control, decentralized bang-bang control, and the control algorithms based on Lyapunov stability theory have been adopted for semiactive systems including MR dampers. In spite of good features, some algorithms have drawbacks such as poor performance or difficulties in designing the weighting matrix of the controller. However, modal control reshapes the motion of a structure by merely controlling a few selected vibration modes. Hence a modal control scheme is more convenient to design the controller than other control algorithms. Although modal control has been investigated for several decades, its potential for semiactive control, especially for the MR damper, has not been exploited. Thus, in order to study the effectiveness for a MR damper system, a modal control scheme is implemented to seismically excited structures. A Kalman filter is included in a control scheme to estimate modal states from measurements by sensors. Three cases of the structural measurement are considered by a Kalman filter to verify the effect of each measurement; displacement, velocity, and acceleration, respectively. Moreover, a low-pass filter is applied to eliminate the spillover problem. In a numerical example, a six-story building model with the MR dampers on the bottom two floors is used to verify the proposed modal control scheme. The El Centro earthquake is used to excite the system, and the reduction in the drifts, accelerations, and relative displacements throughout the structure is examined. The performance of the proposed modal control scheme is compared with that of other control algorithms previously studied. The numerical results indicate that the motion of the structure is effectively suppressed by merely controlling a few lowest modes, although resulting responses varied greatly depending on the choice of measurements available and weightings.