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基于非线性时间序列分析的被动动态行走混沌现象研究

摘要第4-6页
Abstract第6-8页
Chapter 1 Introduction第15-49页
    1.1 Motivation第15-16页
    1.2 Legged Locomotion and Human Walking第16-19页
        1.2.1 Static Walking第17页
        1.2.2 Passive Dynamic Walking第17-19页
    1.3 Nonlinear Dynamics and Chaos第19-21页
        1.3.1 Chaos Theory for Engineers第20-21页
    1.4 Applications of Chaotic Dynamics in Robotics第21-46页
        1.4.1 Chaos Analysis in Robotics第23-40页
        1.4.2 Chaos Synthesis in Robotics第40-43页
        1.4.3 Chaotic Mobile Robot第43-46页
    1.5 Discussion第46-47页
    1.6 Summary第47-49页
Chapter 2 Nonlinear Time-Series Analysis for Investigating Walking Dynamics第49-64页
    2.1 Introduction第49-50页
    2.2 State-Space Reconstruction第50页
    2.3 Time-Delay Embedding第50-53页
    2.4 Choice of Delay Parameters第53-62页
        2.4.1 Selection of Optimal Embedding Dimension第54-55页
        2.4.2 Selection of Optimal Time Delay第55-56页
        2.4.3 Estimation of Chaotic Invariants第56-60页
        2.4.4 Validation through Surrogate Data Analysis第60-62页
    2.5 Discussion第62-63页
    2.6 Summary第63-64页
Chapter 3 Nonlinear Time-Series Analysis of Normal and Pathological Hu-man Walking Gaits第64-89页
    3.1 Introduction第64-65页
    3.2 Normal and Pathological Human Gaits第65-72页
        3.2.1 Human Walking Gaits第65-67页
        3.2.2 Variability in Human Walking第67-70页
        3.2.3 Parkinson’s Disease and Parkinsonian Gait第70-72页
    3.3 Nonlinear Time-Series Analysis of Different Human Walking Gaits第72-87页
        3.3.1 Nonlinear Time-Series Analysis第74-76页
        3.3.2 Determination of Chaotic Invariants第76-79页
        3.3.3 Surrogate Data Testing第79-80页
        3.3.4 Nonlinear Time-Series Analysis of Normal Human Walking Gaits第80-83页
        3.3.5 Nonlinear Time-Series Analysis of Aged and Pathological WalkingGaits第83-87页
    3.4 Summary第87-89页
Chapter 4 Nonlinear Time-Series Analysis of Compass-Gait Biped第89-100页
    4.1 Introduction第89-90页
    4.2 Compass-Gait Biped第90-92页
        4.2.1 Description of Biped Model第90-91页
        4.2.2 The Governing Equations of Swing Stage第91页
        4.2.3 The Governing Equations of Transition Stage第91-92页
    4.3 State-Space Reconstruction第92-94页
    4.4 Estimation of Chaotic Invariants第94-97页
    4.5 Results and Discussion第97-99页
    4.6 Summary第99-100页
Chapter 5 Further Research on Compass-Gait Biped Model第100-119页
    5.1 Introduction第100页
    5.2 Compass-Gait Biped and Inverted Pendulum Analogy第100-102页
    5.3 Motivation for Studying Compass-Gait Biped第102-104页
    5.4 Results of Nonlinear Time-Series Analysis of Different Biped Gaits第104-110页
    5.5 Experiments with the Prototype Biped第110-116页
        5.5.1 Effect of Center of Mass on the Walking Performance第112-114页
        5.5.2 Effect of Slope Angle on the Walking Performance第114-116页
    5.6 Using Chaos Analysis in the Robot Design第116-117页
    5.7 Summary第117-119页
Conclusion (in Chinese)第119-121页
Conclusion (in English)第121-124页
References第124-146页
List of Publications第146-147页
Statement of Copyright第147页
Letter of Authorization第147-148页
Acknowledgment第148-149页
Resume第149-152页

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