基于觀測器的切換系統(tǒng)故障檢測方法研究
發(fā)布時間:2019-02-23 17:54
【摘要】:隨著系統(tǒng)和裝備復雜程度日益提高,單一的連續(xù)動態(tài)模型或離散事件模型已不能夠準確描述和分析系統(tǒng)的動態(tài)過程,為此,混雜系統(tǒng)理論得以產(chǎn)生并迅速發(fā)展。切換系統(tǒng)是混雜系統(tǒng)的一種典型模型,包括若干切換子系統(tǒng)和一個切換信號。目前切換系統(tǒng)的研究大多集中于切換系統(tǒng)穩(wěn)定分析方面,關于切換系統(tǒng)的故障檢測問題研究成果相對較少,為此,本文將對這一方向進行深入的研究。本文主要研究內(nèi)容如下:針對未知輸入干擾可完全解耦的切換系統(tǒng)故障檢測問題,研究了基于未知輸入觀測器的故障檢測方法。首先,針對線性切換系統(tǒng),建立了基于未知輸入觀測器的故障檢測器,并使用平均駐留時間技術和多Lyapunov函數(shù)方法設計了故障檢測器參數(shù);其次,將該方法進一步推廣到未知輸入干擾可完全解耦的非線性切換系統(tǒng),并應用平均駐留時間約束、多Lyapunov函數(shù)方法和Lipschitz條件得到了故障檢測器參數(shù)。研究了基于H_/H∞故障檢測觀測器的切換系統(tǒng)故障檢測方法。首先對于未知輸入干擾不可解耦的線性確定切換系統(tǒng),建立了基于狀態(tài)觀測器的H_/H∞故障檢測器,并將其設計問題等價為加權H_/H∞混合性能指標下的誤差系統(tǒng)多目標求解問題,又通過引入松弛矩陣的方法降低了H_/H∞多目標求解結果的保守性;其次,將該方法推廣到線性不確定切換系統(tǒng)的故障檢測問題中,并進行了相應的H_/H∞故障檢測器設計。研究了基于H_/H∞未知輸入觀測器的切換系統(tǒng)故障檢測方法。針對未知輸入干擾可部分解耦的線性切換系統(tǒng),提出并設計了一種基于H_/H∞未知輸入觀測器的故障檢測器。該方法實現(xiàn)了對部分未知輸入干擾的解耦,進而降低了未知輸入干擾對于殘差的影響,因此能夠提高故障檢測的性能。研究了基于H_/H∞異步故障檢測觀測器的切換系統(tǒng)故障檢測方法。針對控制輸入ku)(?0的線性切換系統(tǒng),當切換子系統(tǒng)與故障檢測器之間存在異步切換段時,提出了一種基于狀態(tài)觀測器的H_/H∞異步故障檢測器,并通過求解加權H_/H∞混合性能指標下的增廣誤差系統(tǒng)多目標問題,設計了H_/H∞異步故障檢測器的參數(shù)。針對帶有區(qū)間時變時滯的線性切換系統(tǒng)故障檢測問題,研究了基于時滯依賴H_/H∞故障檢測觀測器的故障檢測方法。首先提出了基于狀態(tài)觀測器的時滯依賴H_/H∞同步故障檢測器,然后針對同時存在區(qū)間時變時滯和異步切換的情況,提出了基于狀態(tài)觀測器的時滯依賴H_/H∞異步故障檢測器,并使用平均駐留時間技術和多Lyapunov-Krasovskii泛函方法為兩種故障檢測器分別設計了參數(shù)。
[Abstract]:With the increasing complexity of the system and equipment, the single continuous dynamic model or discrete event model can not accurately describe and analyze the dynamic process of the system. Switched systems are typical models of hybrid systems, including several switched subsystems and a switched signal. At present, most of the researches on switched systems are focused on the stability analysis of switched systems, and the research results on the problem of fault detection of switched systems are relatively few. Therefore, this paper will carry out in-depth research in this direction. The main contents of this paper are as follows: aiming at the problem of complete decoupling of unknown input disturbance, a fault detection method based on unknown input observer is studied. Firstly, a fault detector based on unknown input observer is established for linear switched system, and the parameters of the fault detector are designed by using the average dwell time technique and the method of multiple Lyapunov function. Secondly, the method is extended to nonlinear switched systems with complete decoupling of unknown input disturbances, and the parameters of the fault detector are obtained by using the mean dwell time constraint, the multiple Lyapunov function method and the Lipschitz condition. A fault detection method for switched systems based on H / H 鈭,
本文編號:2429067
[Abstract]:With the increasing complexity of the system and equipment, the single continuous dynamic model or discrete event model can not accurately describe and analyze the dynamic process of the system. Switched systems are typical models of hybrid systems, including several switched subsystems and a switched signal. At present, most of the researches on switched systems are focused on the stability analysis of switched systems, and the research results on the problem of fault detection of switched systems are relatively few. Therefore, this paper will carry out in-depth research in this direction. The main contents of this paper are as follows: aiming at the problem of complete decoupling of unknown input disturbance, a fault detection method based on unknown input observer is studied. Firstly, a fault detector based on unknown input observer is established for linear switched system, and the parameters of the fault detector are designed by using the average dwell time technique and the method of multiple Lyapunov function. Secondly, the method is extended to nonlinear switched systems with complete decoupling of unknown input disturbances, and the parameters of the fault detector are obtained by using the mean dwell time constraint, the multiple Lyapunov function method and the Lipschitz condition. A fault detection method for switched systems based on H / H 鈭,
本文編號:2429067
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