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结构振动的滑模变结构控制研究

Research on Sliding Mode Variable Structure Control of Structural Vibration

【作者】 金峤

【导师】 周晶;

【作者基本信息】 大连理工大学 , 水工结构工程, 2006, 博士

【摘要】 本文的研究内容属于地震工程结构控制研究范畴。结构振动控制的研究包括控制装置和控制策略两部分。虽然结构振动控制的研究已经取得长足的进步,许多控制装置已经成功地应用于实际工程之中,然而关于结构振动控制策略的研究还存在许多问题。被控系统的非线性、强时变、结构参数的不确定性,连续被控系统模型的离散化,结构体型的复杂多变性以及控制力实施过程中的“时滞现象”,都给振动控制策略的研究带来很大的挑战。因此,寻求对结构参数不确定的强鲁棒性的结构振动控制算法,在离散条件下,研究其对结构的振动控制,同时考虑结构偏心和控制延时的影响,这是一项非常有意义的工作。 通过阅读大量国内外文献,在对前人在结构振动控制领域所取得的成果进行科学总结的基础上,本文就滑模变结构控制方法在结构振动控制中的应用作了不同的研究层面上的新的探索和尝试。从所面向的控制装置层面上,研究并分析了变结构控制算法对主动质量阻尼器(AMD)和调液柱型阻尼器(TLCD)的支持情况;从被控结构类型层面上,研究并分析了由变结构控制算法支持的主动或半主动控制器对相邻结构、偏心结构以及海洋导管架平台结构的振动反应控制;从数值仿真分析的控制系统模型的类别层面上,主要采用了更贴近于实际结构控制的离散时间系统;从变结构控制算法本身的改进层面上,研究了普通滑模变结构控制算法以及基于模糊逻辑和BP神经网络的变结构控制算法在结构控制上的不同应用;从控制分析的特点层面上,研究了“控制延时”的大小对控制品质的影响。循着上述不同角度的研究层面,本文的研究工作按如下内容具体的展开: 建立并开展了考虑控制延时影响的相邻建筑结构的离散变结构振动控制方法研究。首先阐述了不含控制延时和包含控制延时两种情况下的连续控制系统模型的离散化理论,并在此基础上,建立了考虑控制延时效应的相邻结构控制系统的离散状态方程并将其标准化。然后应用离散变结构控制理论对一相邻建筑结构体系的半主动控制问题进行了仿真分析,研究并分析了控制时滞对该相邻结构控制系统减震性能的影响。 建立并开展了考虑控制延时的AMD-偏心结构体系的离散变结构控制方法研究。首先建立了AMD-偏心结构体系的力学模型及连续运动状态方程,并根据双输入系统有时滞项离散状态方程变为无时滞项标准离散状态方程的推导结果,将其离散化成标准离散状态方程形式。然后应用离散变结构控制理论对在结构顶层的两个正交方向同时设置

【Abstract】 The contents in the thesis belong to the field of structure control in seismic engineering, which consists of the researches of control implement and control strategy. Although some meaningful progresses in this field have been made and many control implements have been successfully applied to practical engineering, there are still some problems at the field of structure control strategy. The effects of some complicated factors, such as nonlinear of controlled system, intense time-change, uncertainty of structural parameters, discretization of continuous-time controlled system, complexness and variability of structure conformation, and time delay in control, bring the research of structure control strategy many serious difficulties. Therefore, it is meaningful to seek structure control algorithms which are robust to uncertainty of structural parameters, and to study the influence of theirs on control of structure vibration under the condition of system discretization, structural decentration and time delay in control.Based on the review of past research work, a state-of-art with respect to vibration control of structure, is present firstly. Then, new research on the application of sliding mode variable structure control(SMVSC) methods to vibration control of structure, is explored in this thesis with different arrangement of ideas. From the point of view of the oriented control implements, the sustain ability of SMVSC algorithms to active mass damper(AMD) and tuned liquid column damper(TLCD), is studied in the thesis; From the point of view of the type of controlled structures, adjacent buildings, eccentric buildings and offshore platforms are studied and analyzed; From the point of view of time type of control system, discrete-time systems which are relevant to practical engineering, are adopted in the paper; From the point of view of the improvement of SMVSC algorithms themselves, not only the general SMVSC method, but also fuzzy-based SMVSC and BP networks-based SMVSC are applied to structure control; From the point of view of the characteristic of control analysis, the influence of time delay in control on control quality, is discussed. Along the above-mentioned angles of study, the major contents in the thesis are summarized as follows:A discrete-time SMVSC method for adjacent buildings with time delay in control is developed . Firstly, the discretization theory of continuous system without time delay and with time delay, is summarized, respectively. Secondly, continuous state equation of motion for the adjacent building is set up, which is also discretized and transformed into standard discrete form.Lastly, the effectiveness of the SMVSC algorithm is verified by a simulation example and the influence of time delay in control on structure control is analyzed.A discrete-time SMVSC method for AMD-eccentric buildings with time delay in control is developed . Firstly, not only mechanic model but also continuous state equation of motion is set up, which is also discretized and transformed into standard discrete form on the basis of the deduction result of two-input discrete system . And then, a simulation example is used to validate the SMVSC method. Furthermore, the influence of time delay in control on structure control is also discussed.A discrete-time fuzzy-based variable structure control method for TLCD-eccentric buildings is developed. Firstly, the numerical model of a multi-story eccentric building-TLCD system is given and its continuous state equation is set up and discretized. And then, the theory of fuzzy variable structure control(FVSC) is simply discussed and the semi-active control strategy is established and implemented by FVSC. Lastly, a numerical simulated example proves that the FVSC algorithm is an effective method for controlling the translational response and rotational response of the eccentric buildings, furthermore, the SMVSC method possesses better robustness to uncertainty of structure parameters.A discrete-time ANN(artificial neural networks)-based variable structure control (ANNVSC) method for TLCD- platform system is developed . Firstly, a passive TLCD test is performed on the basis of modal analysis of a practical platform and some important characteristics of passive TLCD are gained. And then, based on the test, a semi-actively tuned liquid column dampenTLCD) based on discrete-time neural networks sliding mode law is proposed to vibration control of fixed offshore platforms excited by earthquake. Lastly, by a numerical simulation, the control effects of semi-active TLCD based on ANNVSC are compared with those of passive TLCD . Superiority of the former is proved, i.e. by a little energy cost, the former can possess better control ability than the latter. Moreover, the robustness of the ANNVSC algorithm can ensure system performance and stability.The research of Sliding Mode Variable Structure Control of Structural Vibration is a new project. The fruits of these fields will advance the overall development of structure control technology.

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