04326nam 2200637 a 450 991078140910332120230421050748.01-60086-207-11-60086-079-6(CKB)2550000000073497(EBL)3111473(SSID)ssj0000551531(PQKBManifestationID)12233836(PQKBTitleCode)TC0000551531(PQKBWorkID)10527154(PQKB)11079336(Au-PeEL)EBL3111473(CaPaEBR)ebr10516499(OCoLC)922978546(MiAaPQ)EBC3111473(EXLCZ)99255000000007349719950111d1993 uy 0engur|n|---|||||txtccrIntroduction to dynamics and control of flexible structures[electronic resource] /John L. Junkins, Youdan KimWashington, D.C. American Institute of Aeronautics and Astronautics, Inc.c19931 online resource (467 p.)AIAA education seriesDescription based upon print version of record.1-56347-054-3 Includes bibliographical references and index.""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""AIAA education series.Large space structures (Astronautics)Structural dynamicsStructural control (Engineering)Large space structures (Astronautics)Structural dynamics.Structural control (Engineering)629.47Junkins John L8527Kim Youdan9209MiAaPQMiAaPQMiAaPQBOOK9910781409103321Introduction to dynamics and control of flexible structures120652UNINA