时变时滞不确定系统的滑模变结构控制

发布时间：2018-04-18 23:30

本文选题：Lyapunov函数 + 滑模控制　；参考：《安徽大学》2015年硕士论文

【摘要】：本篇文章所要进行探讨的是关于含有时变时滞不确定系统滑模变结构控制问题。主要是针对多时变时滞不确定中立型系统和一类同时含分布时滞及时变时滞不确定系统,通过构造Lyapunov函数,利用线性矩阵不等式的方法,给出了相应系统滑模控制的一种设计方案。实现了滑动运动具有渐进稳定性的结论。全文共分为三章,主要内容如下：第一章,主要介绍时滞不确定性系统滑模控制的研究意义及背景知识,同时给出本文的一些预备知识及整篇文章架构。第二章,探究了带有多个时变时滞不确定中立型系统的滑模控制问题。首先通过对滑模控制器的巧妙设计使得系统状态轨线于有限时间内被驱动到指定滑模面上并维持运动。最后再给出利用构造李雅普诺夫函数方法策略,获得了闭环系统是渐进稳定的充分条件,并且是通过利用线性矩阵不等式的形式给出该充分条件的。第三章,主要是分析探讨具有分布时滞与时变时滞不确定系统的自适应全程滑模控制。通过自适应控制理论与滑模控制理论相结合的策略,给出了自适应滑模控制器的设计。再根据自由权矩阵的时滞转换模型,及结合线性矩阵不等式的相关性质理论的方法,得出了设计滑模函数方程的一个充分条件。
[Abstract]:In this paper, the problem of sliding mode variable structure control for uncertain systems with time-varying delays is discussed.For neutral systems with multiple time-varying delays and a class of time-varying time-varying time-delay uncertain systems with distributed delays, Lyapunov functions are constructed and linear matrix inequalities (LMIs) are used.A design scheme of sliding mode control for the corresponding system is presented.The conclusion that sliding motion is asymptotically stable is achieved.The thesis is divided into three chapters. The main contents are as follows: in chapter 1, the significance and background of sliding mode control for uncertain systems with time delay are introduced, and some of the preparatory knowledge and the whole structure of this paper are given.In chapter 2, the problem of sliding mode control for uncertain neutral systems with multiple time-varying delays is investigated.Firstly, the sliding-mode controller is designed so that the system state trajectory is driven to the specified sliding mode surface in a finite time and the motion is maintained.Finally, a sufficient condition for the closed-loop system to be asymptotically stable is obtained by using the strategy of constructing Lyapunov function, and the sufficient condition is obtained by using the form of linear matrix inequality.In chapter 3, adaptive global sliding mode control for uncertain systems with distributed and time-varying delays is discussed.The design of adaptive sliding mode controller is presented by combining adaptive control theory with sliding mode control theory.A sufficient condition for the design of sliding mode function equations is obtained based on the time-delay transformation model of the free matrix and the theory of the related properties of linear matrix inequalities (LMIs).
【学位授予单位】：安徽大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O231

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