下三角非线性系统的采样控制研究
发布时间：2023-04-21 23:17
随着数字计算机技术的普及与发展,计算机控制系统已被广泛地应用到包括工业自动化系统在内的各个领域,并成为自动控制的一项核心技术。因此作为计算机控制理论基础的采样系统理论,一直都是控制领域的研究热点并得到很多学者的重视。在采样系统中,控制器在每个采样时刻决定从现在到下一采样时刻的控制量,这相当于在相邻两个采样时刻之间系统处于开环状态。如何为给定的连续时间系统设计采样控制器是采样系统理论的一个核心问题。对于线性系统,该问题已经得到了较好的解决。但对非线性系统,由于采样带来的复杂性,使得这一问题变得极具挑战性,因而还有许多重要的问题需要进一步的探讨。目前,非线性采样系统的设计主要采取基于连续时间模型的连续设计方法和基于近似离散模型的离散设计方法。本文利用基于系统采样模型的采样设计方法研究了几类重要的非线性系统的采样控制问题。对具有下三角结构非线性系统的采样反馈控制,全局采样镇定以及在考虑长输入延迟情况下的采样反馈镇定等问题做了进一步深入地探讨。本文的研究内容主要有以下四个部分:首先,针对一类p-规范形非线性系统,提出了一种能够实现闭环系统全局强镇定的多率采样控制器。在控制器的设计过程中,为了获...
【文章页数】：131 页
【学位级别】：博士
【文章目录】：
ABSTRACT
摘要
List of Abbreviations
Chapter 1 Introduction
1.1 Background and motivations
1.2 Literature review
1.2.1 Brief survey of nonlinear control systems
1.2.2 Methods of control for lower-triangular systems
1.2.3 Current research of sampled-data systems
1.3 Contributions and organization
Chapter 2 Preliminaries
2.1 Sampled-data control systems
2.2 Stability of nonlinear systems
2.3 Useful inequalities
Chapter 3 Multi-rate sampled-data control of p-normal form nonlinear systems
3.1 Introduction
3.2 Problem formulation
3.3 Design and analyses of sampled-data control systems
3.4 Simulation examples
3.5 Brief summary
Chapter 4 Global sampled-data stabilization for a class of high-order nonlinear systems
4.1 Introduction
4.2 Problem formulation
4.3 Global stabilization by sampled-data feedback
4.4 Performance analysis of approximate controllers
4.5 Simulation example
4.6 Brief summary
Chapter 5 Sampled-data stabilization for a class of low-order LTNSs with long delays
5.1 Introduction
5.2 Problem formulation
5.3 Sampled-data controller design in the absence of delays
5.4 Sampled-data stabilization of systems with long delays
5.5 Simulation example
5.6 Brief summary
Chapter 6 Predictor-based sampled-data control of high-order systems with arbitrarydelays
6.1 Introduction
6.2 Problem formulation
6.3 Predictor-based sampled-data controller design
6.4 Approximate controllers
6.5 Simulation example
6.6 Brief summary
Chapter 7 Conclusions
7.1 Summary
7.2 Future research
References
Acknowledgements
Curriculum Vitae
本文编号：3796443
【文章页数】：131 页
【学位级别】：博士
【文章目录】：
ABSTRACT
摘要
List of Abbreviations
Chapter 1 Introduction
1.1 Background and motivations
1.2 Literature review
1.2.1 Brief survey of nonlinear control systems
1.2.2 Methods of control for lower-triangular systems
1.2.3 Current research of sampled-data systems
1.3 Contributions and organization
Chapter 2 Preliminaries
2.1 Sampled-data control systems
2.2 Stability of nonlinear systems
2.3 Useful inequalities
Chapter 3 Multi-rate sampled-data control of p-normal form nonlinear systems
3.1 Introduction
3.2 Problem formulation
3.3 Design and analyses of sampled-data control systems
3.4 Simulation examples
3.5 Brief summary
Chapter 4 Global sampled-data stabilization for a class of high-order nonlinear systems
4.1 Introduction
4.2 Problem formulation
4.3 Global stabilization by sampled-data feedback
4.4 Performance analysis of approximate controllers
4.5 Simulation example
4.6 Brief summary
Chapter 5 Sampled-data stabilization for a class of low-order LTNSs with long delays
5.1 Introduction
5.2 Problem formulation
5.3 Sampled-data controller design in the absence of delays
5.4 Sampled-data stabilization of systems with long delays
5.5 Simulation example
5.6 Brief summary
Chapter 6 Predictor-based sampled-data control of high-order systems with arbitrarydelays
6.1 Introduction
6.2 Problem formulation
6.3 Predictor-based sampled-data controller design
6.4 Approximate controllers
6.5 Simulation example
6.6 Brief summary
Chapter 7 Conclusions
7.1 Summary
7.2 Future research
References
Acknowledgements
Curriculum Vitae
本文编号：3796443
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