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1st Edition

# System Dynamics and Control with Bond Graph Modeling

By

## Javier Kypuros

ISBN 9781466560758
Published April 25, 2013 by CRC Press
519 Pages 233 B/W Illustrations

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## Book Description

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
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

...

## Author(s)

### 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.

## Reviews

"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