几类分布参数系统边界控制和学习控制研究

发布时间：2021-06-22 23:19

　　分布参数系统其状态不仅依赖于时间变量而且还依赖于空间变量,因此与集中参数系统相比,其能够对更广泛的实际系统进行建模。最近几年,由于计算技术的发展,实际应用中对该系统控制技术的迫切需求使得分布参数系统的控制变得越来越受到重视。但是,由于分布参数系统的种类繁多并且其动态特点完全不同,这使得对所有分布参数系统的稳定化控制,输出跟踪控制,没有一种通用的有效的控制技术。另一个具有挑战的问题是,从实现角度看,控制器在分布参数系统上的位置有多种可能,这也使得对分布参数系统的控制算法设计变得更加复杂。除此之外,从实际应用角度看,控制算法对扰动和模型误差的鲁棒性至今仍然是一个具有挑战性的问题。最后,除了分布参数系统的稳定化,同步等问题,分布参数系统的输出跟踪控制仍然需要进一步深入研究,并且在此方面只有很少的研究结果。因此,受到以上几个关键问题的启发,在本文中,主要研究了几类分布参数系统的稳定化、同步和跟踪控制,这几类分布参数系统主要包括:非线性耦合的抛物型系统,双曲热传导系统,带有非局部项和非线性不确定项的一阶双曲系统,带有时变扰动和未知非线性不确定项的2×2双曲系统,以及由反应扩散神经网络线性耦合的时... 

【文章来源】：西安电子科技大学陕西省 211工程院校 教育部直属院校

【文章页数】：223 页

【学位级别】：博士

【文章目录】：
ABSTRACT
摘要
Symbol List
Abbreviation List
Chapter 1 Introduction
    1.1 Boundary Control of the Distributed Parameter Systems
    1.2 Boundary Iterative Learning Control for the Distributed Parameter Systems
    1.3 Synchronization Control of the Reaction-Diffusion Neural Networks
    1.4 Main Contributions and Organization of This Study
Chapter 2 Boundary Output Feedback Stabilization for a Class of Nonlinearly Cou-pled Parabolic Systems
    2.1 Introduction
    2.2 Preliminaries and Problems Presentation
    2.3 Output Feedback Control Design
        2.3.1 State Observer
        2.3.2 Output Feedback Control
    2.4 Stability Analysis
    2.5 Numerical Example
    2.6 Conclusions
Chapter 3 Boundary Stabilization for One Dimensional Hyperbolic Heat ConductionEquation
    3.1 Introduction
    3.2 Hyperbolic Heat Conduction Model
        3.2.1 Stable Target Equation
        3.2.2 Stability Analysis
    3.3 Boundary State Feedback Stabilization
        3.3.1 State Feedback
        3.3.2 Stability Analysis
    3.4 Output Feedback Stabilization
        3.4.1 Non-Collocated State Estimation
        3.4.2 Output Feedback
        3.4.3 Stability Analysis
    3.5 Numerical Example
    3.6 Conclusions
Chapter 4 Observer-based Boundary Output Regulation for the Wave Equations withUnstable Boundary Conditions
    4.1 Introduction
    4.2 Preliminaries and Problem Presentation
    4.3 State Feedback Control for Boundary Regulation
    4.4 Observer Design
    4.5 Illustration Example
    4.6 Conclusions
Chapter 5 Boundary Iterative Learning Control for a Class of First-Order HyperbolicSystem with Non-local Terms
    5.1 Introduction
    5.2 Preliminaries and Problem Statement
    5.3 Iterative Learning Control with State Independent Terms
        5.3.1 Iterative Learning Control with Iteration Independent Terms
        5.3.2 Iterative Learning Control with Iteration Dependent Terms
    5.4 Iterative Learning Control with State Dependent Terms
    5.5 Illustrated Examples
    5.6 Conclusions
Chapter 6 Robust Boundary Iterative Learning Control for the 2 × 2 Hyperbolic Sys-tems with Unmatched Disturbances and Nonlinear Modelling Uncertainties
    6.1 Introduction
    6.2 2 × 2 Nonlinear Hyperbolic System with Disturbance
    6.3 Robust Iterative Learning Control
    6.4 Implementation of the Robust Iterative Learning Control
        6.4.1 Actuator Dynamic
        6.4.2 Outflow Level Control of the Open-Canal Flow
        6.4.3 Pressure Fluctuations Suppression in Managed Pressure Drilling
    6.5 Conclusions
Chapter 7 Hybrid Adaptive Synchronization Strategy for Linearly Coupled Reaction-Diffusion Neural Networks with Time-varying Coupling Strength
    7.1 Introduction
    7.2 Preliminaries
    7.3 Main Results
        7.3.1 Synchronization with Hybrid Adaptive Control Strategy
        7.3.2 H∞Synchronization with Hybrid Adaptive Control Strategy
    7.4 Numerical Examples
    7.5 Conclusions
Chapter 8 Future Work
References
Acknowledgements
Resume



本文编号：3243727