本文關(guān)鍵詞： T-S模糊系統(tǒng) 離散隨機(jī)非線性系統(tǒng) H_∞濾波與控制 隨機(jī)發(fā)生現(xiàn)象 離散的模糊Lyapunov函數(shù)方法　出處：《江南大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：本文主要討論的是基于信號在傳輸過程中可能遭受到隨機(jī)發(fā)生現(xiàn)象影響的幾類離散的非線性隨機(jī)系統(tǒng)的模糊濾波和魯棒控制問題。在無線通訊系統(tǒng)中,信號在傳輸過程中(特別是無線信號傳輸過程中)可能會由于受到外部隨機(jī)噪聲擾動、物理設(shè)備的限制、信號傳輸帶寬的影響,從而信號會遭受到不可避免或者無法預(yù)知發(fā)生的現(xiàn)象,并且這些現(xiàn)象是隨機(jī)出現(xiàn)的,從而導(dǎo)致信號的接收會出現(xiàn)信息不完全的現(xiàn)象,這類現(xiàn)象也被稱為信號在傳輸過程中系統(tǒng)所遭受到的隨機(jī)發(fā)生現(xiàn)象。例如,隨機(jī)發(fā)生參數(shù)不確定現(xiàn)象、隨機(jī)發(fā)生分布式延遲現(xiàn)象、隨機(jī)發(fā)生區(qū)間延遲現(xiàn)象、隨機(jī)發(fā)生非線性現(xiàn)象、傳感器飽和以及信道衰落現(xiàn)象等�；谶@些工程實(shí)際,在總結(jié)已有的科研結(jié)果的基礎(chǔ)上,本文系統(tǒng)地研究了幾類非線性隨機(jī)系統(tǒng)的控制與濾波問題,并且對其提出了新的研究方法。本文基于隨機(jī)分析方法、矩陣?yán)碚摗⒗钛牌罩Z夫穩(wěn)定性理論、離散的模糊李雅普諾夫函數(shù)的方法、相關(guān)不等式技巧以及差分方程的穩(wěn)定性理論等,在現(xiàn)有結(jié)果的基礎(chǔ)上,又對幾類離散的非線性隨機(jī)系統(tǒng)的輸出-反饋控制與模糊濾波問題進(jìn)行了更加深入的研究,同時也設(shè)計出了新穎的而且有意義的模糊濾波器和模糊輸出-反饋控制器。在本文中,研究的主要內(nèi)容包括以下三個問題。首先,研究基于T-S模糊模型具有信道衰落及隨機(jī)發(fā)生現(xiàn)象的H_∞模糊濾波問題,并且得到誤差系統(tǒng)滿足指數(shù)均方穩(wěn)定的充分條件。其次,研究基于T-S模糊模型具有信道衰落、扇形非線行、隨機(jī)發(fā)生區(qū)間延遲及非線性的的H_∞輸出-反饋控制,從而設(shè)計出了新的而且具有創(chuàng)新的模糊H_∞輸出-反饋控制器。最后,基于T-S模糊模型,通過使用新的離散的模糊Lyapunov的方法,研究具有隨機(jī)發(fā)生區(qū)間延遲及間歇測量的H_∞濾波,并且采取了間歇測量輸出的策略,使得誤差濾波系統(tǒng)穩(wěn)定性的相關(guān)研究以及H_∞性能問題被討論。具體內(nèi)容如下:1.在第一章中,先介紹了本文研究課題的相關(guān)背景、研究范圍;其次,介紹了研究課題的發(fā)展?fàn)顩r及意義;最后,介紹了本文研究的具體內(nèi)容和具體的貢獻(xiàn)。2.第二章研究了具有信道衰落及隨機(jī)發(fā)生現(xiàn)象的H_∞模糊濾波問題,通過運(yùn)用隨機(jī)分析方法、Lyapunov函數(shù)穩(wěn)定性理論、線性矩陣不等式(LMI)方法、基本不等式方法,對誤差濾波系統(tǒng)進(jìn)行H_∞性能分析,并且設(shè)計出了希望得到的模糊濾波器。3.第三章研究了基于T-S模糊系統(tǒng)且具有信道衰落現(xiàn)象、扇形非線性現(xiàn)象、隨機(jī)發(fā)生區(qū)間延遲及非線性的模糊H_∞輸出-反饋控制問題,通過模糊理論、Lyapunov穩(wěn)定性理論、線性矩陣不等式(LMI)方法、基本不等式方法,對輸出-反饋控制系統(tǒng)進(jìn)行了H_∞性能分析,并且設(shè)計出了希望得到的模糊輸出反饋控制器。4.第四章研究了具有隨機(jī)發(fā)生區(qū)間延遲及間歇測量的H_∞濾波問題,并且采用了一種新的研究方法——離散的模糊Lyapunov函數(shù)的方法以及新的測量輸出的方法——間歇測量方法,并且同時通過數(shù)學(xué)理論中的隨機(jī)分析方法、矩陣論中線性矩陣不等式(LMI)方法,不僅對誤差濾波系統(tǒng)進(jìn)行了H_∞性能分析,而且設(shè)計出了新的模糊濾波器。5.第五章,首先總結(jié)了全文的內(nèi)容,其次對未來的科研工作作了一些小的思考以及個人的展望。為了說明研究結(jié)果的可行性和有效性,本文中所得到的相關(guān)定理以及所設(shè)計的濾波器和控制器的相關(guān)參數(shù)都需要在MATLAB軟件里的工具箱LMI里進(jìn)行數(shù)值求解,并且進(jìn)行相應(yīng)的數(shù)值仿真,器仿真結(jié)果同時就說明了文章結(jié)果的有效性和可行性。
[Abstract]:This paper mainly discusses the signal may be subject to fuzzy filtering and robust control problems of random phenomena influence several classes of discrete nonlinear stochastic systems in the transmission process. Based on the wireless communication system, signal transmission in the process (especially the wireless signal transmission process) may be due to external noise disturbance. The limitations of physical devices, affecting the signal transmission bandwidth, and signal will suffer from the inevitable or unpredictable phenomenon, and these phenomena appear randomly, resulting in signal receiving a phenomenon of incomplete information, this kind of phenomenon is called stochastic phenomenon system suffered in the transmission process the signal. For example, the random parameters of uncertain phenomena occur randomly distributed delays, random interval delay, random nonlinear phenomena, sensing Saturation and channel fading phenomena. These based on practical projects based on summarizing the existing research results, this paper systematically studies the control and filtering problems for several classes of nonlinear stochastic systems, and new research methods of the proposed stochastic analysis method. In this paper, based on matrix theory and Lyapunov stability theory the method of fuzzy Lyapunov function, the discrete, relative inequality technique and the stability theory of difference equation, based on the existing results, and the output of several nonlinear stochastic systems with discrete feedback control and fuzzy filtering problem is studied more deeply, but also designed a fuzzy filter and the significance of the novel and the fuzzy output feedback controller. In this paper, the main research contents include the following three problems. First, the research has a channel based on T-S fuzzy model H_ - fading and random phenomenon of fuzzy filtering problem, and obtain sufficient conditions for the exponential mean square stability satisfy the error of the system. Secondly, the research of T-S fuzzy model with fading channel based on the non random line segment, feedback control and delay interval nonlinear H_ robust output, so as to design a new and has the innovation of the fuzzy H_ decentralized output feedback controller. Finally, based on the T-S fuzzy model, by using the method of Fuzzy Discrete Lyapunov new study with H_ filtering, random interval delay and intermittent measurement, and adopts intermittent output strategies, the stability of error filtering system and H_ for performance problems are discussed. The specific contents are as follows: 1. in the first chapter, first introduces the related background, this paper research scope; secondly, introduced the development status and significance of the research Righteousness; finally, this paper describes the specific content and the contribution of.2. is studied in the second chapter with channel fading and random phenomenon of H_ robust fuzzy filtering problem, by using the stochastic analysis method, the stability theory of Lyapunov function, linear matrix inequality (LMI) method, basic inequality method, H_ is used to analyze the performance of error control filter system, and designed the hope.3. third chapter has studied fuzzy filter T-S fuzzy systems with channel fading phenomena based on the nonlinear phenomena of fan, random interval delay and non linear fuzzy robust H_ output feedback control problem occurs, by fuzzy theory, Lyapunov stability theory, linear matrix inequality (LMI) method. The basic inequality method, the control system output feedback are analyzed for H_ performance, and design a fuzzy output feedback controller to the.4. The four chapter studies with H_ filtering problem of random interval delay and intermittent measurement, and introduced a new research method, the method of Fuzzy Discrete Lyapunov function and method of measuring the output of the new batch measurement method, and at the same time through mathematics analysis method in the theory of random matrix theory, linear matrix inequality in (LMI) method, not only the error filtering system is analyzed and the design of robust H_ performance, a new fuzzy filter.5. fifth chapter, firstly summarizes the contents, then made some small personal thinking and prospects for future research work. To illustrate the feasibility and validity of the results. The relevant theorems and related parameters of filter and controller are required in MATLAB software toolbox in LMI are solved numerically, and The corresponding numerical simulation results show the effectiveness and feasibility of the results of the article.

【學(xué)位授予單位】：江南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：N941.3

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本文編號：1552946