Introduction to dynamics and control of flexible structures /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Junkins, John L.
Otros Autores: Kim, Youdan
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Washington, D.C. : American Institute of Aeronautics and Astronautics, Inc., ©1993.
Colección:AIAA education series.
Temas:
Large space structures (Astronautics)
Structural dynamics.
Structural control (Engineering)
Grandes structures extraterrestres (Astronautique)
Constructions > Dynamique.
Contrôle des structures (Ingénierie)
Structural dynamics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title
  • Copyright
  • Foreword
  • Preface
  • Table of Contents
  • 1 Introduction
  • 1.1 Some Biased Historical Notes
  • 1.2 Scope and Organization
  • 2 Mathematical Background: Matrix Analysis and Computation
  • 2.1 Introduction and Basic Notions
  • Simultaneous Linear Algebraic Equations
  • Numerical Methods to Solve the Least Square Problem
  • Partitioned Matrix Inversion Formulas and the Matrix Inversion Lemma
  • 2.2 Matrix Decompositions
  • Spectral Decomposition
  • Singular Value Decomposition
  • Cholesky Decomposition
  • Schur Decomposition2.3 Sensitivity and Conditioning Issues
  • Eigenvalue/Eigenvector Sensitivities
  • Conditioning of Eigenvalue Problem
  • Stability Robustness Criteria: Conditioning of the Eigenstructure
  • Partial Derivatives of the Singular Values
  • 2.4 Case Study: Parameterization of Orthogonal Matrices
  • Some Geometrical and Kinematical Insignts from R[sup(3Ã?3)]
  • Parameterizations of Orthogonal Matrices in R[sup(nÃ?n)]
  • Applications of the Cayley Transform
  • 3 Stability in the Sense of Lyapunov: Theory and Applications
  • 3.1 Basic Definitions
  • 3.2 Lyapunov's Stability Theorem (Direct Method)3.3 Stability of Linear Systems
  • Lyapunov Theorem for Linear Systems
  • Linear Dynamic Systems Subject to Arbitrary Disturbances
  • Stability Analysis for Mechanical Second Order Systems
  • 3.4 Nonlinear, Time Varying, and Distributed Parameter Systems
  • Local Stability of Linearized Systems
  • What to do When U is Only Negative Semi-Definite
  • Lyapunov Control Law Design Method
  • Work Energy Rate Principle and Laypunov Stable Control Laws
  • Globally Stable Tracking Controller: Lyapunov Approach
  • 3.5 Case Study: Application for Near-Minimum-Time Large Angle Maneuvers of Distributed Parameter SystemsSimulated Results for the Large Angle Maneuvers
  • Experimental Results
  • 4 Mathematical Models of Flexible Structures
  • 4.1 Lagrangian Approach to Equation of Motion Formulation
  • 4.2 Infinite-Dimensional Models of Distributed Parameter Systems
  • Classical Application of Hamilton's Principle
  • Explicit Generalization of Lagrange's Equations
  • The Differential Eigenvalue Problem
  • 4.3 Approximate Methods for Finite Dimensional Models
  • Assumed Modes Method
  • Finite Element MethodComparison Between Two Spatial Discretization Models
  • 4.4 Case Study: Consequences of Neglecting Coupling between Rigid Motion and Elastic Motion
  • 5 Design of Linear State Feedback Control Systems
  • 5.1 Linear Optimal Control
  • Necessary Conditions for Optimality
  • Linear Regulator Problem
  • Numerical Algorithms for Solving the Riccati Equations
  • Generalized Linear Quadratic Regulator Formulations
  • 5.2 Robust Eigenstructure Assignment
  • Sylvester's Equation
  • Projection Method for Eigenstructure Assignment

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