本文關(guān)鍵詞：離散切換時滯系統(tǒng)的魯棒故障檢測方法研究　出處：《長春工業(yè)大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 故障檢測 線性矩陣不等式 離散切換時滯系統(tǒng) 網(wǎng)絡(luò)控制系統(tǒng) 協(xié)同設(shè)計平均駐留時間 模型不確定性

【摘要】：在實際工程應(yīng)用中,由于控制系統(tǒng)規(guī)模不斷擴(kuò)大,復(fù)雜程度日益提高,以及控制系統(tǒng)長時間處于連續(xù)的工作狀態(tài),人們迫切地需要提高系統(tǒng)的可靠性和安全性。另一方面,時滯和參數(shù)不確定現(xiàn)象普遍存在于控制系統(tǒng)當(dāng)中,上述因素會導(dǎo)致系統(tǒng)性能下降甚至?xí)斐上到y(tǒng)的不穩(wěn)定。當(dāng)系統(tǒng)的執(zhí)行器和傳感器發(fā)生故障時,傳統(tǒng)的控制器不能保證閉環(huán)控制系統(tǒng)期望的性能甚至?xí)䦟?dǎo)致整個系統(tǒng)不穩(wěn)定。故障檢測(FD)和可靠控制技術(shù)是解決這一問題的有效方法。為了提高離散切換時滯系統(tǒng)的故障檢測性能,本論文基于Lyapunov-Krasovskii Function(LKF)穩(wěn)定性理論和魯棒線性矩陣不等式(LMI)技術(shù),進(jìn)一步深入地研究了離散切換時滯系統(tǒng)的魯棒 性能、狀態(tài)反饋控制器和故障檢測濾波器(FDF)協(xié)同設(shè)計。由于在時滯的處理過程中,采用輸入-輸出方法和二項近似方法,所得結(jié)果具有更小的保守性和計算負(fù)擔(dān)。全文的主要工作總結(jié)如下:(1)針對帶有時滯和數(shù)據(jù)包丟失的離散切換網(wǎng)絡(luò)控制系統(tǒng),協(xié)同設(shè)計了故障檢測濾波器和控制器。不同于以往文獻(xiàn)的結(jié)果,本文設(shè)計策略為閉環(huán)故障檢測策略。通過將基于觀測器的故障檢測濾波器作為殘差生成器,網(wǎng)絡(luò)時滯切換系統(tǒng)可以表示成模型匹配問題。采用LKF法和平均駐留時間方法給出了時滯依賴的充分條件,確保殘差和故障之間的估計誤差盡可能小,同時滿足閉環(huán)網(wǎng)絡(luò)切換系統(tǒng)的指數(shù)均方穩(wěn)定。最后,數(shù)值仿真結(jié)果驗證了所提出方法的有效性。(2)在工作(1)的基礎(chǔ)之上,考慮了一類具有模型不確定性的離散切換時滯系統(tǒng)的故障檢測濾波器和控制器的協(xié)同設(shè)計問題。為了提高系統(tǒng)的性能,使系統(tǒng)更加便于檢測,不同于上一章的研究方法,本章引入故障加權(quán)矩陣(),限制加權(quán)頻率在故障信號的頻譜范圍內(nèi)。并應(yīng)用輸入-輸出和二項近似方法將離散切換時滯系統(tǒng)轉(zhuǎn)化為互聯(lián)的兩個子系統(tǒng)。設(shè)計的FDF,對所允許的數(shù)據(jù)包丟失條件,保證故障檢測動態(tài)系統(tǒng)為輸入-輸出均方穩(wěn)定,并且滿足期望的性能。通過選取一個新的LKF泛函,獲得了FDF存在的充分條件,相應(yīng)的FDF增益的可解性條件利用錐補(bǔ)線性化迭代算法轉(zhuǎn)化為凸最優(yōu)問題。最后,對全文所做工作進(jìn)行了總結(jié),指出了目前切換時滯系統(tǒng)(網(wǎng)絡(luò)控制系統(tǒng))故障檢測理論研究中存在的一些問題和進(jìn)一步的發(fā)展方向,并對未來的研究工作進(jìn)行了展望。
[Abstract]:In practical engineering application, the control system is in continuous working condition for a long time due to the continuous expansion of the scale of the control system and the increasing complexity of the control system. There is an urgent need to improve the reliability and security of the system. On the other hand, time-delay and parameter uncertainties are common in the control system. The above factors will lead to the deterioration of system performance and even the instability of the system, when the actuator and sensor of the system fail. The traditional controller can not guarantee the desired performance of the closed-loop control system and even lead to the instability of the whole system. And reliable control technology is an effective method to solve this problem, in order to improve the performance of fault detection for discrete switched time-delay systems. This paper is based on Lyapunov-Krasovskii function LKF) stability theory and robust linear matrix inequality (LMI) technique. Furthermore, the robust performance, state feedback controller and fault detection filter (FDF) co-design for discrete switched time-delay systems are studied. The input-output method and binomial approximation method are used. The results are less conservative and computational burden. The main work of this paper is summarized as follows: 1) for discrete switched network control systems with time delay and packet loss. The fault detection filter and controller are designed in cooperation. Different from the results of previous literatures, the closed-loop fault detection strategy is designed in this paper. The observer based fault detection filter is used as the residual generator. The LKF method and the average dwell time method are used to give the sufficient conditions of time-delay dependence to ensure that the estimation error between the residual error and the fault is as small as possible. At the same time, it satisfies the exponential mean square stability of closed loop network switching system. Finally, the numerical simulation results verify the effectiveness of the proposed method. The cooperative design of fault detection filters and controllers for a class of discrete switched time-delay systems with model uncertainty is considered in order to improve the performance of the system and make the system easier to detect. Different from the research method in the previous chapter, the fault weighting matrix is introduced in this chapter. The weighted frequency is limited in the spectrum range of the fault signal, and the input-output and binomial approximation method is applied to transform the discrete switched time-delay system into two interconnected subsystems, the designed FDF. For the allowed packet loss conditions, the dynamic fault detection system is guaranteed to be input-output mean square stability and meet the desired performance. A new LKF functional is selected. Sufficient conditions for the existence of FDF are obtained, and the solvability condition of the corresponding FDF gain is transformed into a convex optimal problem by using the cone complement linearization iteration algorithm. Finally, the work done in this paper is summarized. This paper points out some problems existing in the research of fault detection theory for switched time-delay systems (NCS) and its further development direction. The future research work is also prospected.
【學(xué)位授予單位】：長春工業(yè)大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TP13

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