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幾類分布參數(shù)系統(tǒng)邊界控制和學習控制研究

發(fā)布時間:2021-06-22 23:19
  分布參數(shù)系統(tǒng)其狀態(tài)不僅依賴于時間變量而且還依賴于空間變量,因此與集中參數(shù)系統(tǒng)相比,其能夠?qū)Ω鼜V泛的實際系統(tǒng)進行建模。最近幾年,由于計算技術(shù)的發(fā)展,實際應用中對該系統(tǒng)控制技術(shù)的迫切需求使得分布參數(shù)系統(tǒng)的控制變得越來越受到重視。但是,由于分布參數(shù)系統(tǒng)的種類繁多并且其動態(tài)特點完全不同,這使得對所有分布參數(shù)系統(tǒng)的穩(wěn)定化控制,輸出跟蹤控制,沒有一種通用的有效的控制技術(shù)。另一個具有挑戰(zhàn)的問題是,從實現(xiàn)角度看,控制器在分布參數(shù)系統(tǒng)上的位置有多種可能,這也使得對分布參數(shù)系統(tǒng)的控制算法設(shè)計變得更加復雜。除此之外,從實際應用角度看,控制算法對擾動和模型誤差的魯棒性至今仍然是一個具有挑戰(zhàn)性的問題。最后,除了分布參數(shù)系統(tǒng)的穩(wěn)定化,同步等問題,分布參數(shù)系統(tǒng)的輸出跟蹤控制仍然需要進一步深入研究,并且在此方面只有很少的研究結(jié)果。因此,受到以上幾個關(guān)鍵問題的啟發(fā),在本文中,主要研究了幾類分布參數(shù)系統(tǒng)的穩(wěn)定化、同步和跟蹤控制,這幾類分布參數(shù)系統(tǒng)主要包括:非線性耦合的拋物型系統(tǒng),雙曲熱傳導系統(tǒng),帶有非局部項和非線性不確定項的一階雙曲系統(tǒng),帶有時變擾動和未知非線性不確定項的2×2雙曲系統(tǒng),以及由反應擴散神經(jīng)網(wǎng)絡線性耦合的時... 

【文章來源】:西安電子科技大學陜西省 211工程院校 教育部直屬院校

【文章頁數(shù)】:223 頁

【學位級別】:博士

【文章目錄】:
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



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