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一类非线性系统的自适应控制
杜尚丰
1995-03-01
学位类型工学博士
中文摘要本文讨论了一类非线性系统的自适应控制问题,通过广泛的调研,对 自适应控制理论的国际国内发展动态有了基本的了解,基于这一准则,本 文所做的工作基本如下: · 对一些概念提出看法,并提出一些新的想法. · 扩展线性系统自适应控制理论,使之可用于非线性系统. · 探索新的控制方案. · 对稳定性,收敛性,鲁棒性理论的进行初探. · 研究放宽控制系统的约束条件 · 对所提出的控制方法,在计算机上进行模拟研究. 第一章介绍了本论文立题的依据,对自适应控制系统做了综述:从线 性自适应控制理论到非线性自适应控制理论做了系统的阐述;并捐出丁 自适应控制理论研究的主要问题,面临的挑战.对适应控制与智能控制提 出了新的观点,适应控制是智能控制的一个子集智能控制是多学科理论 集成的结果. 第二章介绍了常见几类非线性模型及它的背景并给出了相应模型 系统的控制方案. HAMMERSTEIN模型的辨识与自适应控制一直是一个难点,目前该模型 的辨识与控制理论没有形成理论体系,特别是该模型的加权控制一直没 有得到解决,在以下几章详细论述该模型及扩展模型的自适应控制问题 第三章讨论了确定性HAMMERSTEIN模型的自适应控制首先研究了 确定模型的最小误差直接和间接自适应控制理论依据是扩展线性系统 控制理论.这里面的问题不是控制器的设计,而是所设计的系统稳定性分 析,这主要是该模型存在非线性增益的原因.这种设计准则的缺点是要求 系统逆稳定.如何放宽这个约束条件是作者要研究的问题,如果按常规对 控制加权,就会导致控制器难以实现的困难,经过研究,提出了虚拟加权控 制的方案.这样免除了系统逆不稳定的假设,从而填补该模型加权控制理 论的空白.在研究确定模型的基础上,第四章又研究该模型的随机控制问 题最后,又提出了该模型自适应逆动态组合极点配置控制方嘉该方案的 新颖之处就在于构造非线性增益自适应动态逆,用来补偿非线性增益. 第五章讨论了输出非线性模型系统的控制问题.这类模型也是双线 性系统模型的扩展,对该模型给出了两种控制方案,每一种方案都有不同的假设条件,这些假设条件在证明闭环系统稳定性时是必不可少的,这些 工作都是前人没有做过的 在第三,四,五章的基础上,第六章研究了相应模型多变量系统自适应控 制由于多变量的如现,给分析和设计带来一定的难处,基于最小误差准 则,提出了该模型的确定性系统自适应控制方案,在约束
英文摘要This thesis is deals with the adaptive control of a class of nonlinear systems. The Author gives a survey of development of adaptive control theory. According to this ruler, the contents of the thesis include: · Propose some new conceptions for adaptive control · Extend adaptive control theory of linear systems in order to be adapted to nonlinear systems · Look for new, good control schemes · Study the stability, convergence and robustness of systems · Reduce the assumptions in order to improve the applicability of control theory · Simulation results In chapter one, the problem of adaptive control of studying nonlinear systems is introduced and development outline of adaptive control is given. The main research problem are presented. In this chapter, the author proposes new conceptions about adaptive control and intelligent control, adaptive control belongs to the field of intelligent control. Intelligent control integrates many theories. In chapter two, several kinds of nonlinear models and mathematical representation are presented, which makes readers know nonlinear system models. In this chapter, background and ordinary, control schemes of nonlinear system models are also introduced. Up to now, the identification and adaptive control of HAMMERSTEIN models are difficult. Theory about the identification and adaptive control of HAMMERSTEIN models is still imperfect. Especially weighted control problem of the models is not yet solved. In the bellowing chapters, the problem of adaptive control about the models and extended models are described in detail. In chapter three, adaptive control of deterministic HAMMERSTEIN models is discussed. According to rule of minimal error, first, direct adaptive control scheme and indirect adaptive control scheme are described. Basic principle of designing adaptive controllers of the models extends adaptive control theories of linear systems. The difficult point of adaptive control systems is not the design of controller but analysis of the stability of closed-loop systems became of the nonlinear gain. The design of controller requires the inverse stability. How to reduce assumption is the main problem in author' research. If control horizon is weighted as usual, it results in constraint control law. Author proposes pseudo weighted control scheme which avoids assumption of inverse stability.In chapter four, stochastic adaptive control of the models is presented. In the chapter, the author proposes adaptive inverse dynamic of nonlinear gain of the models, so control scheme of combined pole placement is used for the models. In chapter fry'e, adaptive control of extended HAMMERSTEIN models-output nonlinearity, is discussed. First. the author discusses adaptive control of deterministic models. Second, the author deals with the stochastic adaptive control of the models. On the basis of chapters three, four and five, in chapter six, the author discusses adaptive control of d
关键词自适应控制 Hammerstein模型 加权控制 自适应逆动态 单变量系统 多变量系统 Adaptive Control Hammerstein Model Weighted Control Adaptive Inverse Dynamics Siso Systems Mimo Systems
语种中文
文献类型学位论文
条目标识符http://ir.ia.ac.cn/handle/173211/5647
专题毕业生_博士学位论文
推荐引用方式
GB/T 7714
杜尚丰. 一类非线性系统的自适应控制[D]. 中国科学院自动化研究所. 中国科学院自动化研究所,1995.
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