本文關(guān)鍵詞： 2D系統(tǒng) 故障診斷 容錯控制 觀測器 故障估計　出處：《北京化工大學(xué)》2016年博士論文　論文類型：學(xué)位論文

【摘要】：隨著生產(chǎn)實踐過程的規(guī)�；�、復(fù)雜化以及對產(chǎn)品質(zhì)量、能源消耗等方面要求的持續(xù)提高,系統(tǒng)安全性成為一個至關(guān)重要且需要妥善對待的問題。故障診斷與容錯控制技術(shù)正好能夠很好地應(yīng)對由故障引發(fā)的嚴(yán)重的安全性威脅,保證系統(tǒng)性能,因而受到學(xué)術(shù)界和工業(yè)界的廣泛關(guān)注,對該技術(shù)的研究成為熱點問題,并涌現(xiàn)出大量先進的技術(shù)和成功的應(yīng)用成果。二維(2D, two-dimensional)系統(tǒng)在批次過程、圖像處理等實際過程中廣泛存在,且.2D系統(tǒng)理論能夠被用來方便地解決很多具體問題。然而,由于2D系統(tǒng)自身復(fù)雜性和困難性,針對2D系統(tǒng)的故障診斷與容錯控制研究成果較少,很多問題亟待解決。因而,本文基于模型對2D系統(tǒng)的故障診斷與容錯控制展開研究,以解除故障對2D系統(tǒng)安全性帶來的威脅,滿足實用需求。具體工作和成果包括：第二章到第四章主要研究了2D時不變系統(tǒng)的故障診斷與容錯控制問題。其中,基于奇異系統(tǒng)方法觀測器,第二章給出了2D線性系統(tǒng)的狀態(tài)和故障同時估計的結(jié)果。利用矩陣秩理論以及2D系統(tǒng)穩(wěn)定性理論,深入分析并給出了可以同時估計狀態(tài)和故障的觀測器漸近穩(wěn)定和一致最終有界的充分必要性條件；在此基礎(chǔ)上,在論文中給出了實用的觀測器設(shè)計方法。第三章在第二章的基礎(chǔ)上,研究了一類滿足Lipschitz非線性約束的帶系統(tǒng)擾動的2D非線性系統(tǒng)的傳感器故障重構(gòu)與補償問題�；贚MI技術(shù),給出了故障重構(gòu)觀測器全局漸近穩(wěn)定和滿足H∞性能指標(biāo)的充分性條件以及增益矩陣的解,并將重構(gòu)出來的故障用到容錯控制中去。第四章研究了帶系統(tǒng)擾動和變狀態(tài)時滯的2D系統(tǒng)的傳感器故障主動容錯控制問題。在時域范數(shù)框架下,首先給出了給定誤報率時最大化故障檢測率意義下的2D系統(tǒng)集成故障診斷模塊的設(shè)計；進而,依據(jù)故障診斷模塊給出的故障信息,完成控制器重構(gòu),實現(xiàn)傳感器故障主動容錯控制。第五章和第六章考慮了2D時變系統(tǒng)的故障診斷問題。其中,第五章依據(jù)線性估計和Krein空間理論,給出了帶確定性擾動和故障的2D線性時變系統(tǒng)的H∞故障估計的結(jié)果。論文一并給出了故障估計器存在的充分必要性條件以及對應(yīng)的解析解。第六章針對帶隨機噪聲的2D時變系統(tǒng),給出了無偏最小方差意義下的狀態(tài)和/或故障估計的結(jié)果。利用無偏最小方差的定義,將估計器設(shè)計問題轉(zhuǎn)化為以估計器增益矩陣作未知數(shù)的線性矩陣方程的求解問題,進而給出了估計器存在的充要條件以及估計器增益的解析解。
[Abstract]:With the production practice process of scale, complexity and product quality, energy consumption and other aspects of continuous improvement. Fault diagnosis and fault-tolerant control technology can well deal with the serious security threat caused by fault and ensure the performance of the system. As a result, the research of this technology has become a hot issue, and a large number of advanced technologies and successful application results have emerged. Two-dimensional) system exists widely in batch process, image processing and so on, and the theory of .2D system can be used to solve many specific problems conveniently. Due to the complexity and difficulty of 2D system, there are few researches on fault diagnosis and fault-tolerant control for 2D system, and many problems need to be solved. In this paper, the fault diagnosis and fault-tolerant control of 2D system is studied based on the model, in order to remove the threat to the security of 2D system caused by the fault. The main achievements are as follows: from Chapter 2 to Chapter 4th, fault diagnosis and fault-tolerant control of 2D time-invariant systems are studied. In the second chapter, the results of simultaneous state and fault estimation for 2D linear systems are given, and the matrix rank theory and 2D system stability theory are used. The sufficient necessary conditions for the asymptotic stability and uniform ultimate boundedness of the observer which can simultaneously estimate the state and the fault are analyzed and given. On this basis, a practical observer design method is given in this paper. The third chapter is based on the second chapter. The problem of sensor fault reconstruction and compensation for a class of 2D nonlinear systems with system disturbances satisfying Lipschitz nonlinear constraints is studied based on LMI technology. The sufficient conditions for the global asymptotic stability of the fault reconstruction observer and the H 鈭，

本文編號：1457527