The Dynamical Study Of System With Randomly Occurring Phenomenon

In this paper, the H_?filtering and control problem has been investigated for several classes of stochastic nonlinear systems with the signal might subject to randomly occurring phenomena in communications transmission. In wireless communications, signal in the transmission process(especially the wireless signal transmission process) may be affected by external noise interference, physical equipment restrictions or signal transmission bandwidth.Meanwhile, signal might be subjected to the inevitable or unpredictable phenomenon of the changes of the networks environment, and these phenomena appear randomly, so these phenomena can result in the occurrence of the phenomenon of incomplete information in the signal receive process. These kinds of phenomena is also called randomly occurring phenomenon. For example, the randomly occurring phenomena includes randomly occurring parameter uncertainty, randomly occurring distributed delays(the finite time), randomly occurring interval delays, randomly occurring nonlinearities, sensor saturations, channel fading and so on. On the basis of summarizing the existing research results, this paper have systematically studied the control and filtering problems of several classes of nonlinear stochastic systems, and proposed a new research method of these problems.In this dissertation, based on the stochastic analysis method, matrix theory, Lyapunov stability theory, the discrete fuzzy Lyapunov function method, inequality technique, the differential equation stability theory and so on, the control and filtering problems for several classes of discrete nonlinear stochastic systems have been investigated. Furthermore, the desired and effective output-feedback controller and filter have also been designed.The main content of this paper mainly includes the following three problems. In the first place, the H_? fuzzy filtering problem is studied for a class of discrete-time T-S fuzzy system with channel fadings and randomly occurring phenomena, and the sufficient condition is obtained for the filtering error system to satisfy the exponential mean square stability.Secondly, the H_? output-feedback control problems is investigated for the discrete-time T-S fuzzy systems with channel fadings, sector nonlinearities, randomly occurring interval delays and randomly occurring nonlinearities. Furthermore, a newly and innovatively H_? output feedback controller is designed. Thirdly, the H_? fuzzy filtering problem is researched for a class of discrete-time T-S fuzzy system with random interval delay and intermittent measurement by using a improved method of the discrete-time fuzzy Lyapunov approach. The problems of the error filtering system exponential mean square stability and H_? performance are also investigated. The details are as follows:1. Firstly, the first chapter introduces the research background, research scope. Secondly,it introduces the development situation and significance of the research topic. At last, it introduces the main research content and the main contribution of this paper.2. We study the H_? fuzzy filtering problem for a class of discrete-time T-S fuzzy systems with channel fadings and randomly occurring phenomena by using the stochasticanalysis method, Lyapunov stability theory, linear matrix inequality(LMI) method, inequality technique and so on. The H_? performance of the filtering error system is also studied and the desired fuzzy filter is designed.3. We study the H_? output-feedback control problem for a class of discrete-time T-S fuzzy systems with channel fadings sector nonlinearities, randomly occurring interval delays and randomly occurring nonlinearities by using the fuzzy theory, Lyapunov stability theory, linear matrix inequality(LMI) method, inequality technique and so on. The H_? performance of the output-feedback control system is also studied and the desired fuzzy output-feedback control is designed.4. We study the H_? fuzzy filtering problem for a class of discrete-time T-S fuzzy systems with random interval delay and intermittent measurement by using a improved method of the discrete-time fuzzy Lyapunov function approach and a newly measurement method- intermittent measurement. Meanwhile, the stochastic analysis method, Lyapunov stability theory, linear matrix inequality(LMI) method and inequality technique are also used for the study of this paper. The H_? performance of the filtering error system is also studied and the desired fuzzy filter is designed.5. In the fifth chapter, the thesis of this paper is summarized, and pointing out the direction for further research.In this paper, in order to illustrate the feasibility and validity of the obtained results,the related parameters are solved in MATLAB software toolbox-LMI, the simulation results is also illustrated the effectiveness and feasibility of the results.