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Analysis and control of uncertain/nonlinear systems in the presence of bounded disturbance inputs.

机译:存在有界干扰输入的不确定/非线性系统的分析和控制。

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摘要

Real world dynamic systems are frequently subjected to unknown disturbance inputs or perturbations. These inputs are difficult to model but must be taken into account in system analysis and control design, otherwise the integrity of the system could be compromised. When analyzing or controlling a system subjected to these types of disturbances, one is quite often concerned with the peak magnitude of some performance output. Clearly the peak magnitude of important variables is of concern in many engineering systems. This thesis begins by introducing the concept of Linfinity stability with a level of performance gamma. For zero initial state, gamma is an upper bound on the Linfinity gain of the system, that is, the gain of the system when viewed as an operator acting on Linfinity inputs and producing L infinity outputs. Using a Lyapunov based approach, a result which yields a sufficient condition for our notion of Linfinity stability is introduced. This condition is applied to a variety of classes uncertain/nonlinear systems. These classes are characterized as polytopic uncertain/nonlinear systems, a general class of uncertain/nonlinear systems and general polytopic uncertain/nonlinear systems. For each of these classes this thesis states a bunch of linear matrix inequalities which, if satisfied, guarantee Linfinity stability with a level of performance. This thesis also considers systems in which one cannot guarantee Linfinity stability for the entire state-space. To this end, the notion of local Linfinity stable with level of performance gamma is introduced. These analysis results are then used to develop state-feedback controllers. The results in this thesis can be used to design disturbance attenuation controllers for the aforementioned classes of systems. Numerous examples are used to illustrate the results of the thesis.
机译:现实世界中的动态系统经常遭受未知的干扰输入或扰动。这些输入很难建模,但是必须在系统分析和控制设计中加以考虑,否则可能会损害系统的完整性。当分析或控制遭受这些类型干扰的系统时,人们通常会关注某些性能输出的峰值。显然,许多工程系统中都需要关注重要变量的峰值。本文首先介绍具有一定性能伽玛值的Linfinity稳定性的概念。对于零初始状态,伽马是系统Linfinity增益的上限,也就是说,当系统操作员作用于Linfinity输入并产生L infinity输出时,系统的增益。使用基于Lyapunov的方法,介绍了为我们的Linfinity稳定性概念提供充分条件的结果。此条件适用于各种类别的不确定/非线性系统。这些类别的特征是多主题不确定性/非线性系统,一般类别的不确定性/非线性系统和一般多主题不确定性/非线性系统。对于这些类别中的每一个,本文都提出了一系列线性矩阵不等式,如果满足,则可以保证具有性能水平的Linfinity稳定性。本文还考虑了不能保证整个状态空间的线性稳定性的系统。为此,引入了具有性能伽马水平的局部Linfinity稳定的概念。然后将这些分析结果用于开发状态反馈控制器。本文的结果可用于设计上述系统类别的干扰衰减控制器。大量的例子用来说明论文的结果。

著录项

  • 作者

    Pancake, Trent Alan.;

  • 作者单位

    Purdue University.;

  • 授予单位 Purdue University.;
  • 学科 Engineering Aerospace.
  • 学位 Ph.D.
  • 年度 2000
  • 页码 119 p.
  • 总页数 119
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 航空、航天技术的研究与探索;
  • 关键词

  • 入库时间 2022-08-17 11:47:29

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