具有执行器饱和系统的控制研究

发布时间：2018-04-25 12:31

本文选题：执行器饱和 + 不确定　；参考：《沈阳师范大学》2017年硕士论文

【摘要】：约束现象种类繁多、数量巨大,其中饱和现象最为典型。在工业过程和实际生活中,饱和现象是十分常见的,系统的性能指标严重受饱和存在的影响。而饱和又以多种形式存在于系统之中,即输入饱和,输出饱和,状态饱和以及多个变量同时饱和。输入饱和即执行器饱和,由于其具有作用广泛和极易出现的特点,因此针对执行器饱和系统进行研究,有着极强的理论价值和深远的实际意义。本文主要针对执行器饱和系统的控制进行研究,研究对象主要包括:具有执行器饱和不确定线性系统、具有执行器饱和切换系统以及具有执行器饱和不确定切换系统。分析了系统的稳定性,设计了相应控制器,估计了吸引域的大小,还进行了数值仿真等工作。本文主要有以下几个内容:1.介绍本文研究的核心内容,即具有执行器饱和控制系统的研究,并简单介绍研究背景、选题意义,国内外学者在执行器饱和、不确定性、切换系统等方面积累的研究成果,本文研究所需的一些理论基础,例如:三种解决饱和项处理问题的常用方法,李雅普诺夫稳定性理论及稳定性分析方法,线性矩阵不等式概念及应用,以及一些基本引理。2.研究不确定且具有执行器饱和线性系统。饱和项的存在给研究带来一定的困难,选择恰当的方法处理饱和项至关重要,本文选用扇形区域法。引入Lyapunov函数方法,进而获得系统稳定的判据。设计适当的状态反馈控制器,给出相应的仿真算例。3.研究执行器饱和切换系统。首先,处理饱和项,选用扇形区域法。然后,引入Lyapunov函数以及线性矩阵LMI,给出系统想要达到稳定需要满足的条件。最后,估计吸引域的大小。4.研究不确定且具有执行器饱和的切换系统。选用扇形区域法,解决饱和函数的处理问题。借助Lyapunov稳定性理论并结合线性矩阵LMI知识,给出执行器饱和不确定切换系统渐近稳定的判据。最后,进行全文内容的总结归纳,并根据现有研究成果,对相关课题的研究进行了展望。
[Abstract]:There are many kinds of constraint phenomena, and the saturation phenomenon is the most typical. Saturation is very common in industrial process and real life, and the performance of the system is seriously affected by saturation. Saturation exists in many forms in the system, that is, input saturation, output saturation, state saturation and simultaneous saturation of multiple variables. Input saturation is actuator saturation. Because of its wide range of functions and easy to appear, the research on actuator saturation system is of great theoretical value and far-reaching practical significance. In this paper, the control of actuator saturation system is studied. The main research objects are as follows: linear system with actuator saturation, system with actuator saturation switch and uncertain switch system with actuator saturation. The stability of the system is analyzed, the corresponding controller is designed, the size of the attraction region is estimated, and the numerical simulation is carried out. This article mainly has the following several contents: 1. This paper introduces the core content of this paper, that is, the research of actuator saturation control system, and briefly introduces the research background, the significance of selected topics, the accumulated research results of domestic and foreign scholars in actuator saturation, uncertainty, switching system, etc. In this paper, some necessary theoretical bases are studied, such as three common methods for solving saturation term problems, Lyapunov stability theory and stability analysis method, the concept and application of linear matrix inequality, and some basic Lemma. 2. Uncertain and saturated linear systems with actuators are studied. The existence of saturation term brings some difficulties to the research. It is very important to select the appropriate method to deal with the saturation term. In this paper, the sector region method is used. The Lyapunov function method is introduced to obtain the stability criterion of the system. An appropriate state feedback controller is designed, and a corresponding simulation example is given. The actuator saturation switching system is studied. First of all, the saturation term is dealt with and the sector region method is used. Then, the Lyapunov function and the linear matrix LMI are introduced to give the necessary conditions for the system to be stable. Finally, the size of the domain of attraction. An uncertain switched system with actuator saturation is studied. The sector region method is used to solve the problem of saturation function. Based on Lyapunov stability theory and linear matrix LMI knowledge, a criterion for asymptotic stability of switched systems with actuator saturation uncertainty is presented. Finally, the paper summarizes the content of the paper, and according to the existing research results, the research of related topics is prospected.
【学位授予单位】：沈阳师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP13

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