Introduction to dynamics and control of flexible structures [[electronic resource] /] / John L. Junkins, Youdan Kim

• Record Nr.: UNINA9910781409103321
• Autore: Junkins John L
• Pubbl/distr/stampa: Washington, D.C., : American Institute of Aeronautics and Astronautics, Inc., c1993
• ISBN: 1-60086-207-1; 1-60086-079-6
• Descrizione fisica: 1 online resource (467 p.)
• Collana: AIAA education series
• Altri autori (Persone): KimYoudan
• Disciplina: 629.47
• Soggetti: Large space structures (Astronautics); Structural dynamics; Structural control (Engineering)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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""; ""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 Systems""""Simulated 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 Method""""Comparison 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""; ""Specialization for Mechanical Second Order Systems""