1st Edition

System Dynamics and Control with Bond Graph Modeling

By Javier Kypuros Copyright 2013
    522 Pages 233 B/W Illustrations
    by CRC Press

    Written by a professor with extensive teaching experience, System Dynamics and Control with Bond Graph Modeling treats system dynamics from a bond graph perspective. Using an approach that combines bond graph concepts and traditional approaches, the author presents an integrated approach to system dynamics and automatic controls.

    The textbook guides students from the process of modeling using bond graphs, through dynamic systems analysis in the time and frequency domains, to classical and state-space controller design methods. Each chapter contains worked examples, review exercises, problems that assess students’ grasp of concepts, and open-ended "challenges" that bring in real-world engineering practices. It also includes innovative vodcasts and animated examples, to motivate student learners and introduce new learning technologies.

    Part I Dynamic System Modeling

    Introduction to System Dynamics
    Introduction
    System Decomposition and Model Complexity
    Mathematical Modeling of Dynamic Systems
    Analysis and Design of Dynamic Systems
    Control of Dynamic Systems
    Diagrams of Dynamic Systems
    A Graph-Centered Approach to Modeling
    Summary
    Practice
    Exercises

    Basic Bond Graph Elements
    Introduction
    Power and Energy Variables
    Basic 1-Port Elements
    Basic 2-Ports Elements
    Junction Elements
    Simple Bond Graph Examples
    Summary
    Practice
    Exercises

    Bond Graph Synthesis and Equation Derivation
    Introduction
    General Guidelines
    Mechanical Translation
    Mechanical Rotation
    Electrical Circuits
    Hydraulic Circuits
    Mixed Systems
    State Equation Derivation
    State-Space Representations
    Algebraic Loops and Derivative Causality
    Summary
    Practice
    Exercises

    Impedance Bond Graphs
    Introduction
    Laplace Transform of the State-Space Equation
    Basic 1-Port Impedances
    Impedance Bond Graph Synthesis
    Junctions, Transformers, and Gyrators
    Effort and Flow Dividers
    Sign Changes
    Transfer Function Derivation
    Alternative Derivation of Transfer Function
    Summary
    Practice
    Exercises

    Mathematical Modeling and Numerical Simulation
    Introduction
    Basic Transient Responses
    State-Space Simulations
    Transfer Function Simulations
    Applications
    Summary

    Part II Analysis and Control

    Laplace Transforms
    Introduction
    Complex Numbers
    The Laplace Transformation
    Common Functions and Their Transforms
    Advanced Transformations
    Inverse Laplace Transformations
    Partial Fraction Expansions
    Solving Linear Time Invariant Systems
    Summary
    Practice
    Exercises

    Time Domain Analysis
    Introduction
    Transient Responses of First-Order Systems
    Transient Responses of Second-Order Systems
    Transient Responses of Higher-Order Systems
    State Space Analysis
    Summary
    Practice
    Exercises

    Frequency Domain Analysis
    Introduction
    The Sinusoidal Transfer Function
    The Bode Diagram
    Frequency Responses of First-Order Systems
    Frequency Responses of Second-Order Systems
    Frequency Responses of Higher-Order Systems
    Free Vibration
    Rotating Assemblies
    AC Circuits
    Summary
    Practice
    Exercises

    Classical Control Systems
    Introduction
    Block Diagrams and Bond Graphs
    Transient Response Analysis of Closed-Loop Systems
    Transient Response Characteristics and Design Specifications
    Stability Analysis
    Analysis Using the Root Locus
    Design of Lead-Lag Compensators
    Design of PID Compensators
    Summary
    Practice
    Exercises

    Modern Control Systems
    Introduction
    Control System Analysis in the State Space
    Control Design Using Pole Placement
    State Observers
    Optimal Control and the Linear Quadratic Regulator
    Summary
    Practice
    Exercises

    Biography

    Javier A. Kypuros is an associate professor at the University of Texas-Pan American (UTPA), where he teaches courses in the areas of dynamic system modeling and control.

    "Bond Graphs provide an ideal platform to introduce undergraduate students to dynamic system modeling as it demonstrates the commonality of all energy-based systems. … While other texts present bond graphs and their utility in modeling dynamic systems, this text appears especially suited to use in a first undergraduate course. The prose is clear and understandable, and the organization of the material provides a logical presentation."
    —Peter J. Gorder, Department of Mechanical and Aerospace Engineering, University of Colorado at Colorado Springs