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THÔNG TIN TÀI LIỆU
Cấu trúc
Chapter 1 Introduction
1.1 Motivation
1.2 Literature Survey
1.2.1 Modeling Techniques
1.2.2 Control Strategies
1.3 Objective and Scope
1.4 Organization of the Dissertation
Chapter 2 Preliminaries
2.1 Lyapunov Stability for PDE Systems
2.1.1 Stability Concepts for PDE Systems
2.1.2 Lyapunov Analysis of the Classical String
2.2 Conjugate Method for Optimal Control
2.2.1 Conjugate Gradient Algorithm
2.2.2 Proof of Convergence
2.3 Hamiltons Principle for DPSs
2.4 Galerkin Method
Chapter 3 Modeling of Axially Moving Systems
3.1 Continuous Models
3.1.1 Axially Moving String
3.1.2 Axially Moving Beam
3.1.3 Axially Moving Plate
3.1.4 Energy Analysis
3.2 Discrete Models
3.2.1 Discrete Model of an Axially Moving String
3.2.2 Discrete Model of an Axially Moving Beam
3.2.3 Discrete Model of an Axially Moving Plate
3.2.4 Modal Analysis and Critical Axial Velocity of AMSs.
Chapter 4 Boundary Control: Continuous Models-Based
4.1 Introduction
4.2 Boundary Control Techniques
4.2.1 Right Boundary Control
4.2.2 Left Boundary Control
4.3 Stability of Boundary Control
4.3.1 Asymptotic Stability
4.3.2 Exponential Stability
4.4 Concluding Remarks
Chapter 5 Robust Adaptive Boundary Control
5.1 Problem Formulation .
5.1.1 Nonlinear Axially Moving String
5.1.2 Effect of Spatially Varying Tension
5.2 Control Formulation
5.3 Simulation Results
5.4 Concluding Remarks
Chapter 6 Simultaneous Control of Longitudinal and Transverse Vibrations with Velocity Tracking
6.1 Longitudinal and Transverse Dynamics of an Nonlinear Axially Moving String
6.2 Control Formulation
6.3 Simulation Results .
6.5 Concluding Remarks
Chapter 7 Vibration Control by Regulation of Axial Velocity: Discrete Models-Based
7.1 Problem Formulation
7.1.1 Modeling a Moving Web via an Axially Moving Viscoelastic Beam
7.1.2 Modeling a Moving Web via an Axially Moving Viscoelastic Membrane
7.2 Control Design
7.2.1 Axially Moving Beam Case
7.2.2 Axially Moving Membrane Case
7.3 Simulation Results
7.3.1 Axially Moving Beam Case
7.3.2. Axially Moving Membrane Case
7.4 Concluding Remarks
Chapter 8 Conclusions and Future Researches
8.1 Conclusions
8.2 Future Research Directions
References
Appendices
Appendix A Mass, Damping, and Stiffness Matrices in Equations (7.41) and (7.42)
Appendix B Transverse Dynamics of an Axially Moving Membrane: Equation (7.75)
Appendix C Coefficients φi in Equation (7.77)
Appendix D Coefficients ξi in Equation (7.82)
Appendix E Symmetric Matrix Qmb in Equation (7.84)
Abstract in Korean
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