本文選題：線性矩陣不等式　切入點(diǎn)：故障診斷與隔離　出處：《大連理工大學(xué)》2013年博士論文

【摘要】：隨著社會(huì)經(jīng)濟(jì)的發(fā)展,越來越多的土木建筑物結(jié)構(gòu)形式向著大跨高聳的體型發(fā)展。為了減小這些大型復(fù)雜結(jié)構(gòu)的振動(dòng),新型材料、新型阻尼器和各種附屬結(jié)構(gòu)不斷地發(fā)展并應(yīng)用于結(jié)構(gòu)的振動(dòng)控制中。隨著混合控制和主動(dòng)控制技術(shù)分別投入到廣州電視塔與京基100兩棟超高層建筑中來減振控制,主動(dòng)控制技術(shù)已經(jīng)開始受到重視。對于高聳大跨等大型結(jié)構(gòu),與被動(dòng)地增大剛度相比,主動(dòng)控制會(huì)大量減小其投入的經(jīng)濟(jì)成本。為了適應(yīng)今后的發(fā)展趨勢,本文考慮了在土木結(jié)構(gòu)中采用主動(dòng)控制可能帶來的一些問題,進(jìn)行了相關(guān)的研究工作,目的在于減小主動(dòng)控制技術(shù)在土木工程中應(yīng)用所帶來的問題。本文的控制算法為Hoo控制,計(jì)算理論為LMI方法,作者所做的工作如下： (1)考慮控制系統(tǒng)本身傳感器出現(xiàn)故障的情況,設(shè)計(jì)了故障檢測器對故障進(jìn)行了診斷,并且隔離(即FDI),再對控制策略進(jìn)行重組,使其具有容錯(cuò)的功能(即FTC)。文中通過建立動(dòng)態(tài)控制器設(shè)計(jì)方法和基于Kalman濾波器的靜態(tài)控制器設(shè)計(jì)方法分別設(shè)計(jì)了動(dòng)態(tài)故障檢測器和靜態(tài)故障檢測器,應(yīng)用靜態(tài)估值檢測器對控制策略進(jìn)行了重組。設(shè)計(jì)過程中,均是將設(shè)計(jì)目標(biāo)設(shè)定為系統(tǒng)傳遞函數(shù)的Hoo范數(shù),并通過LMI方法進(jìn)行求解。通過數(shù)值算例分別對動(dòng)態(tài)、靜態(tài)故障檢測器、容錯(cuò)控制器進(jìn)行了驗(yàn)證,用以說明文中提出的方法對傳感器故障的識別和容錯(cuò)的有效性。 (2)考慮土木結(jié)構(gòu)尺度大導(dǎo)致的主動(dòng)控制反饋時(shí)間延遲的問題,采用了分散控制來解決,通過雙同倫法將BMI問題近似為了LMI問題,最后解得Hoo分散控制器。通過6層框架數(shù)值算例和帶有2個(gè)AMD的雙層框架振動(dòng)臺試驗(yàn)對文中提出的Hoo分散控制器設(shè)計(jì)方法進(jìn)行了驗(yàn)證,用以說明Hoo分散控制在處理大尺度的土木建筑結(jié)構(gòu)振動(dòng)控制中的適用性。 (3)由于土木結(jié)構(gòu)在使用中存在附加荷載,振動(dòng)中剛度阻尼會(huì)變化,本文考慮了結(jié)構(gòu)參數(shù)的不確定,提出了基于D-K迭代方法和LMI方法的Hoo魯棒控制器設(shè)計(jì)方法。通過4層框架數(shù)值算例和帶有1個(gè)AMD的雙層框架振動(dòng)臺試驗(yàn)進(jìn)行了驗(yàn)證,用以說明文中提出的Hoo魯棒控制是可以考慮到結(jié)構(gòu)參數(shù)變化并保證控制的魯棒性的。 (4)對于大尺度土木結(jié)構(gòu),同時(shí)考慮主動(dòng)控制反饋時(shí)間延遲和結(jié)構(gòu)參數(shù)的不確定,提出了對結(jié)構(gòu)參數(shù)不確定具有魯棒性的Hoo分散控制器設(shè)計(jì)方法,融合了D-K迭代方法與雙同倫方法。通過4層框架數(shù)值算例對此方法進(jìn)行了驗(yàn)證,用以說明文中提出的控制器設(shè)計(jì)方法可以同時(shí)考慮反饋時(shí)間延遲和結(jié)構(gòu)參數(shù)不確定等因素。
[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.
【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2013
【分類號】：TU352.1

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