Transfer function

About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.

Vibration: Fundamentals and Practice

Abstract: VIBRATION ENGINEERING Introduction Study of Vibration Application Areas History of Vibration Organization of the Book Problems TIME RESPONSE Introduction Undamped Oscillator Heavy Springs Oscillations in Fluid Systems Damped Simple Oscillator Forced Response Problems FREQUENCY RESPONSE Introduction Response to Harmonic Excitations Transform Techniques Mechanical Impedance Approach Transmissibility Functions Receptance Method Problems VIBRATION SIGNAL ANALYSIS Introduction Frequency Spectrum Signal Types Fourier Analysis Random Vibration Analysis Other Topics of Signal Analysis Order Analysis Machine Monitoring and Fault Diagnosis Problems MODAL ANALYSIS Introduction Degrees of Freedom and Independent Coordinates System Representation Modal Vibrations Orthogonality of Natural Modes Static Modes and Rigid Body Modes Other Modal Formulations Forced Vibration Damped Systems State-Space Approach Problems DISTRIBUTED-PARAMETER SYSTEMS Introduction Transverse Vibration of Cables Longitudinal Vibrations of Rods Torsional Vibration of Shafts Flexural Vibration of Beams Damped Continuous Systems Vibration of Membranes and Plates Problems VIBRATION DAMPING Introduction Types of Damping Representation of Damping in Vibration Analysis Measurement of Damping Interface Damping Problems VIBRATION INSTRUMENTATION Introduction Vibration Exciters Control System Performance Specification Motion Sensors and Transducers Torque, Force, and Other Sensors Problems SIGNAL CONDITIONING AND MODIFICATION Introduction Amplifiers Analog Filters Modulators and Demodulators Analog-Digital Conversion Bridge Circuits Linearizing Devices Miscellaneous Signal Modification Circuitry Signal Analyzers and Display Devices Problems VIBRATION TESTING AND HUMAN RESPONSE Introduction Representation of a Vibration Environment Pre-Test Procedures Testing Procedures Some Practical Information Vibration Excitations on Humans Human Response to Vibration Regulation of Human Vibration Problems EXPERIMENTAL MODAL ANALYSIS Introduction Frequency Domain Formulation Experimental Model Development Curve Fitting of Transfer Functions Laboratory Experiments Commercial EMA Systems Problems VIBRATION DESIGN AND CONTROL Introduction Specification of Vibration Limits Vibration Isolation Balancing of Rotating Machinery Balancing of Reciprocating Machines Whirling of Shafts Design through Modal Testing Passive Control of Vibration Active Control of Vibration Control of Beam Vibrations Problems APPENDIX A: DYNAMIC MODELS AND ANALOGIES Model Development Analogies Mechanical Elements Electrical Elements Thermal Elements Fluid Elements State-Space Models Response Analysis and Simulation APPENDIX B: NEWTONIAN AND LAGRANGIAN MECHANICS Vector Kinematics Newtonian (Vector) Mechanics Lagrangian Mechanics APPENDIX C: REVIEW OF LINEAR ALGEBRA Vectors and Matrices Vector-Matrix Algebra Matrix Inverse Vector Spaces Determinants System of Linear Equations Quadratic Forms Matrix Eigenvalue Problem Matrix Transformations Matrix Exponential APPENDIX D: LAPLACE TRANSFORM Introduction Laplace Transform Response Analysis Transfer Function APPENDIX E: DIGITAL FOURIER ANALYSIS AND FFT Unification of the Three Fourier Transform Types Fast Fourier Transform (FFT) Discrete Correlation and Convolution Digital Fourier Analysis Procedures APPENDIX F: SOFTWARE TOOLS SIMULINK MATLAB Control Systems Toolbox LabVIEW APPENDIX G: RELIABILITY CONSIDERATIONS FOR MULTI-COMPONENT UNITS Failure Analysis Bayes' Theorem INDEX

Control of linear systems using generalized sampled-data hold functions

Abstract: This paper investigates the use of generalized sampled-data hold functions (GSHF) in the control of linear time-invariant systems. The idea of GSHF is to periodically sample the output of the system, and generate the control by means of a hold function applied to the resulting sequence. The hold function is chosen based on the dynamics of the system to be controlled. This method appears to have several advantages over dynamic controllers: it has the efficacy of state feedback without the requirement of state estimation; it provides the control system designer with substantially more freedom; and it requires few on-line computations. This paper focuses on four questions: pole assignment, specific behavior, noise sensitivity, and robustness. Among the problems solved are: simultaneous arbitrary pole assignment for a finite number of systems by a single GSHF controller, exact model matching, decoupling, and optimal noise rejection. Examples are given.

Advanced Structural Dynamics and Active Control of Structures

Abstract: Preface List of Symbols Chapter 1 Introduction to Structures (examples, definition, and properties) 1.1 Examples 1.1.1 A Simple Structure 1.1.2 A 2D Truss 1.1.3 A 3D Truss 1.1.4 A Beam 1.1.5 The Deep Space Network Antenna 1.1.6 The International Space Station Structure 1.2 Definition 1.3 Properties Chapter 2 Standard Models (how to describe typical structures) 2.1 Models of a Linear System 2.1.1 State-Space Representation 2.1.2 Transfer Function 2.2 Second-Order Structural Models 2.2.1 Nodal Models 2.2.2 Modal Models 2.3 State-Space Structural Models 2.3.1 Nodal Models 2.3.2 Models in Modal Coordinates 2.3.3 Modal Models Chapter 3 Special Models (how to describe less-common structures) 3.1 Models with Rigid Body Modes 3.2 Models with Accelerometers 3.2.1 State-Space Representation 3.2.2 Second-Order Representation 3.2.3 Transfer Function 3.3 Models with Actuators 3.3.1 Model with Proof-Mass Actuators 3.3.2 Model with Inertial Actuators 3.4 Models with Small Non-Proportional Damping 3.5 Generalized Model 3.5.1 State-Space Representation 3.5.2 Transfer Function 3.6 Discrete-Time Models 3.6.1 State-Space Representation 3.6.2 Transfer Function Chapter 4 Controllability and Observability (how to excite and monitor a structure) 4.1 Definition and Properties 4.1.1 Continuous-Time Systems 4.1.2 Discrete-Time Systems 4.1.3. Relationship between Continuous- and Discrete-Time Grammians 4.2 Balanced Representation 4.3 Balanced Structures with Rigid Body Modes 4.4 Input and Output Gains 4.5 Controllability and Observability of a Structural Modal Model 4.5.1 Diagonally Dominant Grammians 4.5.2 Closed-Form Grammians 4.5.3 Approximately Balanced Structure in Modal Coordinates 4.6 Controllability and Observability of a Second-Order Modal Model 4.6.1 Grammians 4.6.2 Approximately Balanced Structure in Modal Coordinates 4.7 Three Ways to Compute Hankel Singular Values 4.8 &nb

Observers for linear systems with unknown inputs

Abstract: A direct design procedure of a full-order observer for a linear system with unknown inputs is presented, using straightforward matrix calculations. Some examples are given; in these examples a reduced-order observer is also derived. It is shown that this may restrict the rate of convergence of some state estimates. >