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研究生: 郭名峰
Ming-Feng Kuo
論文名稱: 多輸入多輸出非線性系統之類神經網路適應性控制器設計
RBF Neural Network Adaptive Backstepping Controllers for MIMO Nonlinear Systems
指導教授: 王偉彥
Wang, Wei-Yen
學位類別: 碩士
Master
系所名稱: 電機工程學系
Department of Electrical Engineering
論文出版年: 2009
畢業學年度: 97
語文別: 英文
論文頁數: 61
中文關鍵詞: 輻狀基底類神經網路適應性控制多輸入多輸出系統倒階控制
英文關鍵詞: Radial basis function (RBF) neural networks (NNs), adaptive, backstepping, MIMO nonlinear systems
論文種類: 學術論文
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  • 本文將針對多輸入多輸出的典型與非典型的未知非線性系統,提出一個輻狀基底類神經網路適應性控制器,在針對典型未知非線性系統的控制器的架構中,我們運用輻狀基底類神經網路來近似未知的非線性函數,並且利用適應律來調整輻狀基底類神經網路的權重值,在運用倒階法來設計控制器時會造成基底多次微分的問題,而這個問題會往往使得設計出來的控制器無法運用在高階的系統,也因此我們在設計控制器的過程中加入一階濾波器來避免這類問題的發生,在針對非典型未知非線性的控制器的設計上,運用的方法與針對典型未知非線性系統的控制器相似,都是需要用到輻狀基底類神經網路來近似未知的非線性函數,以及用適應律來調整輻狀基底類神經網路的權重值,最後再加入一階濾波器來避免基底多次微分的問題,不過在這之前我們利用均值定理的特性,將控制器與虛擬控制器從非典型的函數中分離出來,才可利用設計好的控制器加以控制,當然我們也會運用李亞普諾夫定理來證明此控制器可以使系統達到穩定。最後附上一些範例模擬,從模擬圖中可得知系統輸出值會盡追蹤到參考訊號。

    This thesis proposes a radial basis function neural network adaptive backstepping controller (RBFNN_ABC) for multiple-input multiple-output (MIMO) affine and nonaffine nonlinear systems in block-triangular form. The control scheme incorporates the adaptive neural backstepping design technique with a first-order filter at each step of the backstepping design to avoid the higher-order derivative problem, which is generated by the backstepping design. This problem may produce an unpredictable and unfavorable influence on control performance because higher-order derivative term errors are introduced into the neural approximation model. Finally, simulation results demonstrate that the output tracking error between the plant output and the desired reference output can be made arbitrarily small.
    Keywords: Radial basis function (RBF) neural networks (NNs), adaptive, backstepping, MIMO nonlinear systems.

    ABSTRACT (In Chinese) i ABSTRACT (In English) ii ACKNOWLEDGEMENT iii CONTENTS iv LIST OF FIGURES v Chapter 1 Introduction 1 Chapter 2 Radial Basis Function Neural Network 3 2.1 Introduction of Artificial Neural Networks 3 2.2 Learning rule of ANNs 4 2.2.1 General weight learning rule 5 2.2.2 Perceptron learning rule 6 2.2.3 Widrow-Hoff learning rule 6 2.2.4 Hebbian learning rule 7 2.3 Radial Basis Function Neural Network 7 2.4 Simulation Results 10 Chapter 3 RBFNN Adaptive Backstepping Controllers for MIMO Affine Nonlinear Systems 13 3.1 Problem Formulation 13 3.2 Design of RBFNN_ABC 14 3.3 Simulation Results 24 Chapter 4 RBFNN Adaptive Backstepping Controllers for MIMO Nonaffine Nonlinear Systems 34 4.1 Problem Formulation 34 4.2 Design of RBFNN_ABC 35 4.3 Simulation Results 48 Chapter 5 Conclusion 57 References 58 Autobiography 61

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