地震作用下参数不确定系统的变结构控制

本文对结构参数具有有确定性的变结构控制系统设计方法进行了研究。首先采用摄动方法给出了结构参数具有确定性的控制系统的运动方程,证明了基于层间剪切模型的参数不确定受控系统与其标称系统具有相同的滑动模态,从而解决了系统切换函数的确定问题,并利用到达条件推导了控制律的表示式。算例分析结果表明,本文的控制方法能有效地减小结构的地震响应,对于结构系统建模存在误差或系统本身存在学确定性的情况,控制效果仍十分显著     

结构双层多重调谐质量阻尼器(DMTMD)控制策略的鲁棒性评价

基于定义的二类优化目标函数,评价双层多重调谐质量阻尼器(DMTMD)控制策略对漂移频率系数(DFR)摄动的鲁棒性。数值研究表明,使用第二类优化准则设计的DMTMD、双重调谐质量阻尼器(DTMD)和多重调谐质量阻尼器(MTMD)比使用第一类优化准则设计的DMTMD、DTMD和MTMD具有更高的对DFR摄动的鲁棒性。而且,使用第二类优化准则设计的总数为4的DMTMD、DTMD和总数为11的MTMD具有近似相同的对DFR摄动的鲁棒性。     

水平地震激发的具有非线性阻尼的动水压力对斜面水坝的作用

采用非线性Rayeigh阻尼于问题的控制方程中。首先用小参数摄动法，把非线性偏微分方程的控制方法线性化，得出小参数的各阶渐近控制方程，得出头两阶渐近控制方程的解析解。再直接求解非线性控制方程，也得出头两次的渐近解。不但讨论了直形面重力水坝问题，还讨论了圆弧形拱坝问题。     

结构参数非匹配不确定性问题的滑动模态控制

本文针对结构参数非匹配不确定性问题,采用简化滑动模态控制方法．即在滑动面的没计中忽略非匹配不确定性的影响,对一个顶层放置AMD系统的五层弹塑性建筑结构进行了主动控制数值分析．考虑了结构层屈服位移的不确定,数值模拟结果表明,简化方法具有很强的鲁棒性,结构参数相对于期望值的变化幅度为-40％至40%时．简化方法均有很好的控制效果。     

有限弹性变形地壳中的地震波

地壳由半无限大的基岩上一层厚度为H^-的表土层组成，入射地震波为垂直的SH波，产生水平地面运动。当浅源大地震发生时，在极震区以外行波传播产生地面运动将使地壳介质有非线性的有限弹性变形。用小参数摄动法使非线性控制方程为线性化的小参数各阶控制方程，得出头两阶线性控制方程的解析解。     

基于特征结构配置的结构鲁棒控制算法及仿真

本文提出了结构系统的鲁棒主动控制算法，其目的是求取状态反馈控制律，在闭环系统具有希望特征值前提下，使得闭环系统特征值关于参数摄动具有最小的灵敏度。基于状态反馈特征结构配置参数化方法和矩阵特征值灵敏度分析理论，该问题转化为含有约束条件的优化问题，并给出了求解该鲁棒控制问题的算法。该方法给出了特征值灵敏度函数的参数化表示，且直接基于结构系统矩阵，故便于工程应用。三自由度层间剪切型结构地震作用下的仿真分析，表明所提方法的有效性。     

主动变刚度结构的动力卸载效应

本文讨论了主动变刚度结构体系AVS(Active Variable Stiffness)的动力卸载效应。结构体系中的AVS控制器关闭或开启瞬时，结构系统刚度分布发生突变，通常也伴随着对系统的能量输入或输出，使得该瞬时结构体系相应受到—加速度增量作用，此增量的方向与结构加速度方向相反，能有效地抑制结构体系的刚度不变层向刚度突变层的动力卸载。此外，文中分析了AVS控制器闭合或开启引起的结构体系相对于原结构的第i阶自振频率摄动，进而讨论了AVS控制器的开关控制律和结构的自振频率摄动及动力卸载效应的相互关系。理论分析和计算结果表明：在合理的结构变形位置闭合或开启AVS控制器，动力卸载效应对结构体系的不利作用及结构体系的频率特性相对于原结构改变很小。     

基于灵敏度分析的模型修正方法在隔震桥梁的运用

运用灵敏度分析技术对某隔震桥梁进行了模型修正。以结构自振频率差值作为收敛准则,通过摄动待修正参数获得结构的灵敏度矩阵,继而优化迭代求得结构参数修正值,从而达到模型修正目的。修正研究结果表明:基于灵敏度分析的模型修正方法能较好地运用在隔震桥梁上。     

安装MR阻尼器工程结构的非参数模型自适应控制

本文首先建立了结构一磁流变阻尼器非线性系统的非参数模型,该模型不需要太多的受控结构的先验知识,且具有结构简单、参数少,是时变增量形式等优点,因此适合于非线性控制系统的设计。在此基础上,本文提出了非参数模型学习自适应半主动控制算法,并以一个6层框架结构为例,进行了深入的仿真数值分析。计算结果表明,采用本文提出的控制算法能得到令人满意的控制效果。通过在较大范围内选取结构参数值,验证了算法具有较好的鲁棒性。     

结构-地基体系的非比例阻尼影响及随机地震响应分析

针对结构-地基体系随机地震响应分析中存在的非比例阻尼耦合问题，采用不同非比例阻尼判断准则研究了结构-地基体系在不同刚度比，不同阻尼比下结构与地基间的阻尼耦合及体系不同振型间的阻尼耦合问题，推导了用于结构-地基非比例阻尼系统随机分析的小参数随机摄动分析公式，并用于地下大型有衬砌洞室的随机地震响应分析中。     

Reliability‐based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements

A reliability‐based output feedback control methodology is presented for controlling the dynamic response of systems that are represented by linear state‐space models. The design criterion is based on a robust failure probability for the system. This criterion provides robustness for the controlled system by considering a probability distribution over a set of possible system models with a stochastic model of the excitation so that robust performance is expected. The control command signal can be calculated using incomplete response measurements at previous time steps without requiring state estimation. Examples of robust structural control using an active mass driver on a shear building model and on a benchmark structure are presented to illustrate the proposed method. Copyright © 2003 John Wiley & Sons, Ltd.     

基于鲁棒线性二次算法的结构振动主动控制

线性二次控制算法在工程中得到了广泛的应用。本文提出了通过振型分解，赋予各阶振型不同权重，优化选择线性二次算法加权矩阵的方法，并采用回路传输恢复技术，设计了运用于土木工程结构主动减振的控制系统。仿真结果表明，本文方法能够有效地抑制高频噪声对输出控制力的影响。     

Gray box identification of flexible structures: application to robust active vibration suppression control

The paper deals with gray box identification of flexible structures and active vibration suppression from a robust control perspective. First, the linearized mathematical model of an N‐storey flexible structure is presented. Next, the generalized mathematical model is particularized for the investigated three‐storey flexible structure. The considered flexible structure is identified based on black box and gray box identification methods and the model's parametric uncertainties are deduced. Furthermore, control constraints are presented for the design problem, in case of velocity as well as acceleration feedback, from a robust control perspective. Finally, the effectiveness of the control system is tested through experiments, when the input disturbance is assumed to be a sinusoidal one as well as a historical earthquake record (1940 El Centro record). Copyright © 2001 John Wiley & Sons, Ltd.     

DISTURBANCE REJECTION CONTROL OF BRIDGE RESPONSE TO EARTHQUAKE EXCITATION

In this paper, a new disturbance rejection controller is used to improve the response of a bridge during the application of environmental excitations. The controller combines global linearization of a non-linear bridge model and robust controller design to achieve its objectives. The resulting controller is robust with respect to disturbances, modelling errors and controller implementation errors. The method is applied to the Aptos Creek bridge in Santa Cruz under excitation caused by El-Centro earthquake.     

基础隔震建筑混合控制的变结构趋近律方法

本文对叠层胶支座基础震建筑的混合振动控制问题进行了研究。利用控制律设计的变结构趋近律方法,给出了相应的闭环控制律表示式。     

Robust active vibration suppression control with constraint on the control signal: application to flexible structures

A unified mathematical framework, sustained by experimental results, is presented for robust controller design taking into account the constraint on the control signal. The design procedure is exemplified for an active vibration suppression control problem with applications to flexible structures. The considered experimental set‐up is a three‐storey flexible structure with an active mass driver placed on the last storey. First, the considered flexible structure is identified and the model's parametric uncertainties are deduced. Next, control constraints are presented for the robust control design problem, taking into account the restriction imposed on the control signal. Finally, the effectiveness of the control system is tested through experiments, when the input disturbance is assumed to be a sinusoidal one as well as a historical earthquake record (1940 El Centro record). Copyright © 2003 John Wiley & Sons, Ltd.     

巨型框筒部分悬挂结构控制体系地震反应特性及阻尼控制研究

本文提出巨型框筒部分悬挂结构新体系，研究这种结构体系对地震反应特性，提出用阻尼器进行巨型框筒部分悬挂体系地震反应的控制方法，采用结构动力学有限元方法，建立空间分析模型，对结构体系进行地震随机振动分析、时程分析和地震反应谱分析。分析结果表明，这种结构体系能有效地减小结构的地震响应，最后研究了影响控制效果的主要因素及控制器参数的影响规律。     

Decentralized robust control of building structures under seismic excitations

Many of the control algorithms proposed for structures subjected to seismic excitations are based on a centralized design philosophy, such as the linear quadratic regulator (LQR) design. The information of all the states of the system is usually required in these methods to determine the control command. For applications involving large‐scale systems, it may be more convenient to design decentralized controllers that depend only on the information of the local states for control command calculation. In this study, a nonlinear decentralized robust control algorithm is proposed. The structural system is decomposed into several artificially uncoupled subsystems. The interconnections between adjacent subsystems are treated as uncertain but bounded disturbances to the subsystems. The controller associated with one subsystem determines the control command based only on the states of the local subsystem. Numerical examples of linear and nonlinear structural models are presented to demonstrate the effectiveness and robustness of the proposed controller. The traditional LQR design is used as a baseline for comparison. Copyright © 2007 John Wiley & Sons, Ltd.