基于线性矩阵不等式方法的建筑结构H∞控制

发布时间：2018-04-03 03:07

本文选题：线性矩阵不等式　切入点：故障诊断与隔离　出处：《大连理工大学》2013年博士论文

【摘要】：随着社会经济的发展,越来越多的土木建筑物结构形式向着大跨高耸的体型发展。为了减小这些大型复杂结构的振动,新型材料、新型阻尼器和各种附属结构不断地发展并应用于结构的振动控制中。随着混合控制和主动控制技术分别投入到广州电视塔与京基100两栋超高层建筑中来减振控制,主动控制技术已经开始受到重视。对于高耸大跨等大型结构,与被动地增大刚度相比,主动控制会大量减小其投入的经济成本。为了适应今后的发展趋势,本文考虑了在土木结构中采用主动控制可能带来的一些问题,进行了相关的研究工作,目的在于减小主动控制技术在土木工程中应用所带来的问题。本文的控制算法为Hoo控制,计算理论为LMI方法,作者所做的工作如下： (1)考虑控制系统本身传感器出现故障的情况,设计了故障检测器对故障进行了诊断,并且隔离(即FDI),再对控制策略进行重组,使其具有容错的功能(即FTC)。文中通过建立动态控制器设计方法和基于Kalman滤波器的静态控制器设计方法分别设计了动态故障检测器和静态故障检测器,应用静态估值检测器对控制策略进行了重组。设计过程中,均是将设计目标设定为系统传递函数的Hoo范数,并通过LMI方法进行求解。通过数值算例分别对动态、静态故障检测器、容错控制器进行了验证,用以说明文中提出的方法对传感器故障的识别和容错的有效性。 (2)考虑土木结构尺度大导致的主动控制反馈时间延迟的问题,采用了分散控制来解决,通过双同伦法将BMI问题近似为了LMI问题,最后解得Hoo分散控制器。通过6层框架数值算例和带有2个AMD的双层框架振动台试验对文中提出的Hoo分散控制器设计方法进行了验证,用以说明Hoo分散控制在处理大尺度的土木建筑结构振动控制中的适用性。 (3)由于土木结构在使用中存在附加荷载,振动中刚度阻尼会变化,本文考虑了结构参数的不确定,提出了基于D-K迭代方法和LMI方法的Hoo鲁棒控制器设计方法。通过4层框架数值算例和带有1个AMD的双层框架振动台试验进行了验证,用以说明文中提出的Hoo鲁棒控制是可以考虑到结构参数变化并保证控制的鲁棒性的。 (4)对于大尺度土木结构,同时考虑主动控制反馈时间延迟和结构参数的不确定,提出了对结构参数不确定具有鲁棒性的Hoo分散控制器设计方法,融合了D-K迭代方法与双同伦方法。通过4层框架数值算例对此方法进行了验证,用以说明文中提出的控制器设计方法可以同时考虑反馈时间延迟和结构参数不确定等因素。
[Abstract]:With the development of social economy, more and more civil structures are developing to the large-span and high-rise structure.In order to reduce the vibration of these large and complex structures, new materials, new dampers and various auxiliary structures have been developed and applied to structural vibration control.With the hybrid control and active control technology being put into Guangzhou TV Tower and Jingji 100 super high-rise building respectively to reduce vibration control, active control technology has been paid more attention to.For large structures, such as tall and large span, compared with passive increase of stiffness, active control will greatly reduce the economic cost of its input.In order to adapt to the development trend in the future, this paper considers some problems that may be brought about by active control in civil structures, and carries out related research work, with the aim of reducing the problems caused by the application of active control technology in civil engineering.The control algorithm of this paper is Hoo control, and the calculation theory is LMI method. The work of the author is as follows:1) considering the fault of the sensor in the control system, a fault detector is designed to diagnose the fault and isolate the control strategy (i.e. FDI, and then reorganize the control strategy to make it have the function of fault tolerance (i.e. FTCU).In this paper, dynamic fault detector and static fault detector are designed by establishing dynamic controller design method and static controller design method based on Kalman filter, and the control strategy is reorganized by static estimation detector.In the design process, the design objective is set as the Hoo norm of the system transfer function and solved by the LMI method.The dynamic and static fault detectors and fault-tolerant controllers are verified by numerical examples to illustrate the effectiveness of the proposed methods for sensor fault identification and fault tolerance.2) considering the problem of active control feedback time delay caused by large scale of civil structure, decentralized control is used to solve the problem. The BMI problem is approximated to LMI problem by the method of double homotopy. Finally, the Hoo decentralized controller is obtained.The design method of Hoo decentralized controller proposed in this paper is verified by numerical examples of 6-story frame and shaking table test of double-layer frame with two AMD.It is used to illustrate the applicability of Hoo decentralized control in the vibration control of large scale civil structures.Due to the existence of additional loads and the variation of stiffness and damping in vibration of civil structures, the uncertainty of structural parameters is considered in this paper, and a design method of robust Hoo controller based on D-K iterative method and LMI method is proposed.The results are verified by a numerical example of a four-story frame and a shaking table test of a double-deck frame with a AMD. It is proved that the proposed Hoo robust control can take into account the variation of structural parameters and ensure the robustness of the control.For large scale civil structures, considering the time delay of active control feedback and the uncertainty of structural parameters, a robust design method of Hoo decentralized controller for structural parameters uncertainty is proposed.D-K iterative method and double homotopy method are combined.The method is verified by a numerical example of a four-layer frame. The controller design method proposed in the paper can take into account the factors such as feedback time delay and uncertainty of structural parameters.
【学位授予单位】：大连理工大学
【学位级别】：博士
【学位授予年份】：2013
【分类号】：TU352.1

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