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Asymptotic Behavior and Engineering Application of the Hybrid Systems Analysis

Author: WangZhongKe
Tutor: LiWeiDong
School: Dalian Jiaotong University
Course: Control Theory and Control Engineering
Keywords: Hybrid Systems LMI Asymptotic behavior
Type: Master's thesis
Year: 2010
Downloads: 32
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Hybrid system is composed of a continuous variable dynamic systems and discrete event dynamic system consisting of a class system, while continuous variables and discrete variables exhibit very complex interaction so characteristic. Hybrid systems research focused on modeling, control and analysis, optimal control and so on. Hybrid system is controlled by the combination of theoretical science computer science evolved, it is a new interdisciplinary research. Therefore, researchers should incorporate control science, computer technology and other multidisciplinary field theory and tools to make the hybrid system theory has been rapid and steady development. This paper mainly focuses on the research direction is the use of computer tools to analyze hybrid systems with a time delay of stability issues and promiscuous behavior of the power system analysis. The main contents of the thesis can be summarized as the following parts: Part I: hybrid systems concepts, development and research status quo. In the definition of hybrid systems, based on drawing on previous research, expand the representation of the hybrid system features, content (modeling, stability, engineering applications, etc.), as well as the future direction of development. Part II: the basic structure of hybrid systems, several applications more system models, and theoretical analysis tools can be borrowed. This part analyzes the basic structure of the hybrid system are given based on several studies in the process of hybrid systems used widely and relatively mature hybrid system model. It also describes the asymptotic behavior of the hybrid system frequently used theory of linear matrix inequalities, as well as computer software, how to solve such problems of specific tools and programming methods. Part III: asymptotic behavior analysis of hybrid systems. Analyzed with a time delay of a class of discrete hybrid system, according to Lyapnove stability theorem gives sufficient conditions for stability of the system, with the help of computer software for solving linear matrix inequalities, the final conclusions by example simulation correctness. Part IV: hybrid system theory in power system applications. After analyzing the characteristics of hybrid power system, put the power system voltage stability problems abstracted into hybrid systems analysis, and thus can use the existing hybrid system stability theory to the power system voltage stability analysis. The paper uses the classical stability theory of abstract model after analysis, proved by theoretical derivation and gives equivalent stability condition of the system and made a simulation example.

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