Stable adaptive neural network control
By: by S.S. Ge ... [et al.].
Contributors: Ge, S. S.
Series: The Kluwer international series on Asian studies in computer and information science -- 13
Publisher: Kluwer Academic
Published: 2002
Place of publication: Boston
Language: eng
Number of pages: 282
Subjects: Adaptive control systems.; Neural networks (Computer science)
Notes: Includes bibliographical references (p. [265]-279) and index.
Table of contents: title: Machine generated contents note: 1 Introduction 1; title: 1.1 Introduction1; title: 1.2 Adaptive Control2; title: 1.3 Neural Network Control 3 3; title: 1.4 Instability Mechanisms in Adaptive Neural Control Systems 5; title: 1.5 Outline of the Book9; title: 1.6 Conclusion 10; title: 2 Mathematical Preliminaries 11; title: 2.1 Introduction 11; title: 2.2 Mathematical Preliminaries11; title: 2.2.1 Norms for Vectors and Signals12; title: 2.2.2 Properties of Matrix15; title: 2.3 Concepts of Stability16; title: 2.4 Lyapunov Stability Theorem17; title: 2.5 Useful Theorems and Formula19; title: 2.5.1 Sliding Surface19; title: 2.5.2 Mean Value Theorem20; title: 2.5.3 Integral Formula20; title: 2.5.4 Implicit Function Theorem23; title: 2.5.5 Input-Output Stability25; title: 2.6 Conclusion26; title: 3 Neural Networks and Function Approximation 27; title: 3.1 Introduction.27; title: 3.2 Function Approximation27; title: 3.3 Linearly Parametrized Neural Networks29; title: 3.4 Non-linearly Parametrized Networks35; title: 3.5 Neural Networks for Control Applications44; title: 3.6 Conclusion46; title: 4 SISO Nonlinear Systems 47; title: 4.1 Introduction47; title: 4.2 NN Control with Regional Stability49; title: 4.2.1 Desired Feedback Control49; title: 4.2.2 HONN Controller Design Based on (4.7)51; title: 4.2.3 MNN Control Based on (4.10)59; title: 4.3 VSC - Semi-Global Stability70; title: 4.3.1 VSC-based Adaptive NN Control Design73; title: 4.3.2 Elimination for Controller Chattering77; title: 4.3.3 Simulation Study79; title: 4.4 Conclusion:79; title: 5 ILF for Adaptive Control 81; title: 5.1 Introduction 81; title: 5.2 Matching SISO Nonlinear Systems82; title: 5.2.1 Integral Lyapunov Function83; title: 5.2.2 Choice of Weighting Function a(x)83; title: 5.2.3 Adaptive NN Control Based on DFCs92; title: 5.3 Backstepping Adaptive NN Design105; title: 5.3.1 Adaptive Design for a First-order System108; title: 5.3.2 Design for nth-order Systems 112; title: 5.3.3 Controller Design with Reduced Knowledge 121; title: 5.3.4 Simulation Studies123; title: 5.4 NN Control for MIMO Nonlinear Systems127; title: 5.4.1 System Description128; title: 5.4.2 Lyapunov Function Design and Control Structure. 130; title: 5.4.3 Adaptive MIMO Control Using MNNs132; title: 5.5 Conclusion138; title: 6 Non-affine Nonlinear Systems 139; title: 6.1 Introduction139; title: 6.2 System Description and Properties140; title: 6.2.1 Implicit Desired Feedback Control 142; title: 6.2.2 High-gain Observer146; title: 6.3 Controller Design Based on LPNN147; title: 6.3.1 State Feedback Control 149; title: 6.3.2 Output Feedback Control 153; title: 6.3.3 Simulation Study159; title: 6.4 Controller Design Based on MNN 160; title: 6.4.1 State Feedback Control 163; title: 6.4.2 Output Feedback Control 168; title: 6.4.3 Application to CSTR176; title: 6.5 Conclusion182; title: 7 lTiangular Nonlinear Systems 183; title: 7.1 Introduction183; title: 7.2 Special Systems in Strict-Feedback Form185; title: 7.2.1 Direct Adaptive NN Control188; title: 7.2.2 Simulation studies198; title: 7.3 Partially Known Nonlinear Systems201; title: 7.3.1 Adaptive Neural Control Design203; title: 7.3.2 Numerical Simulation215; title: 7.4 Pure-feedback Nonlinear Systems217; title: 7.4.1 Direct Adaptive NN Control for 1E 220; title: 7.4.2 Direct Adaptive NN Control for E2235; title: 7.4.3 Simulation studies240; title: 7.5 MIMO Nonlinear Systems242; title: 7.6 Conclusion260; title: 8 Conclusion 261; title: 8.1 Conclusion 261; title: 8.2 Design Flexibility262; title: 8.3 Further Research263; title: References 265; title: Index 281.