具有随机发生现象的系统动力学研究

发布时间：2018-03-01 17:50

本文关键词： T-S模糊系统离散随机非线性系统 H_∞滤波与控制随机发生现象离散的模糊Lyapunov函数方法　出处：《江南大学》2017年硕士论文　论文类型：学位论文

【摘要】：本文主要讨论的是基于信号在传输过程中可能遭受到随机发生现象影响的几类离散的非线性随机系统的模糊滤波和鲁棒控制问题。在无线通讯系统中,信号在传输过程中(特别是无线信号传输过程中)可能会由于受到外部随机噪声扰动、物理设备的限制、信号传输带宽的影响,从而信号会遭受到不可避免或者无法预知发生的现象,并且这些现象是随机出现的,从而导致信号的接收会出现信息不完全的现象,这类现象也被称为信号在传输过程中系统所遭受到的随机发生现象。例如,随机发生参数不确定现象、随机发生分布式延迟现象、随机发生区间延迟现象、随机发生非线性现象、传感器饱和以及信道衰落现象等。基于这些工程实际,在总结已有的科研结果的基础上,本文系统地研究了几类非线性随机系统的控制与滤波问题,并且对其提出了新的研究方法。本文基于随机分析方法、矩阵理论、李雅普诺夫稳定性理论、离散的模糊李雅普诺夫函数的方法、相关不等式技巧以及差分方程的稳定性理论等,在现有结果的基础上,又对几类离散的非线性随机系统的输出-反馈控制与模糊滤波问题进行了更加深入的研究,同时也设计出了新颖的而且有意义的模糊滤波器和模糊输出-反馈控制器。在本文中,研究的主要内容包括以下三个问题。首先,研究基于T-S模糊模型具有信道衰落及随机发生现象的H_∞模糊滤波问题,并且得到误差系统满足指数均方稳定的充分条件。其次,研究基于T-S模糊模型具有信道衰落、扇形非线行、随机发生区间延迟及非线性的的H_∞输出-反馈控制,从而设计出了新的而且具有创新的模糊H_∞输出-反馈控制器。最后,基于T-S模糊模型,通过使用新的离散的模糊Lyapunov的方法,研究具有随机发生区间延迟及间歇测量的H_∞滤波,并且采取了间歇测量输出的策略,使得误差滤波系统稳定性的相关研究以及H_∞性能问题被讨论。具体内容如下:1.在第一章中,先介绍了本文研究课题的相关背景、研究范围;其次,介绍了研究课题的发展状况及意义;最后,介绍了本文研究的具体内容和具体的贡献。2.第二章研究了具有信道衰落及随机发生现象的H_∞模糊滤波问题,通过运用随机分析方法、Lyapunov函数稳定性理论、线性矩阵不等式(LMI)方法、基本不等式方法,对误差滤波系统进行H_∞性能分析,并且设计出了希望得到的模糊滤波器。3.第三章研究了基于T-S模糊系统且具有信道衰落现象、扇形非线性现象、随机发生区间延迟及非线性的模糊H_∞输出-反馈控制问题,通过模糊理论、Lyapunov稳定性理论、线性矩阵不等式(LMI)方法、基本不等式方法,对输出-反馈控制系统进行了H_∞性能分析,并且设计出了希望得到的模糊输出反馈控制器。4.第四章研究了具有随机发生区间延迟及间歇测量的H_∞滤波问题,并且采用了一种新的研究方法——离散的模糊Lyapunov函数的方法以及新的测量输出的方法——间歇测量方法,并且同时通过数学理论中的随机分析方法、矩阵论中线性矩阵不等式(LMI)方法,不仅对误差滤波系统进行了H_∞性能分析,而且设计出了新的模糊滤波器。5.第五章,首先总结了全文的内容,其次对未来的科研工作作了一些小的思考以及个人的展望。为了说明研究结果的可行性和有效性,本文中所得到的相关定理以及所设计的滤波器和控制器的相关参数都需要在MATLAB软件里的工具箱LMI里进行数值求解,并且进行相应的数值仿真,器仿真结果同时就说明了文章结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.

【学位授予单位】：江南大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：N941.3

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