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Original Essays | April 11, 2014

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Linear System Theory and Design (Oxford Series in Electrical and Computer Engineering)

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Linear System Theory and Design (Oxford Series in Electrical and Computer Engineering) Cover

 

Synopses & Reviews

Publisher Comments:

Striking a balance between theory and applications, Linear System Theory and Design, Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ.

Ideal for advanced undergraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers.

NEW TO THIS EDITION

All examples using MATLAB have been updated using the R2011a version

Chapter 1 provides a brief history and overview of the subject

Chapter 2 has been restructured in order to discuss four types of equations and to give reasons for focusing on rational transfer functions and state-space equations

Chapter 4 includes a new section on SISO realizations and expanded discussions of computer computation and real-time processing of state-space equations

Chapter 7 includes a new section on complete characterization

SUPPLEMENTS

Companion website at www.oup.com/us/chen contains PowerPoint-based versions of the figures from the text (available to adopters of the text)

An Instructor's Solutions Manual is available to adopters

Synopsis:

This 4th edition of Dr. Chen's respected and popular text has been updated and revised to include, among other enhancements, new sections on computer computation and real-time processing of state-space equations; complete characterization; and a history and overview of the subject area. All MATLAB examples have been updated using the most current version of the software.

About the Author

CHI-TSONG CHEN is Professor Emeritus of Electrical Engineering at the State University of New York at Stony Brook and a Fellow of the IEEE. He is the author of more than eighty technical articles and five books, including Digital Signal Processing (OUP, 2001) and Linear System Theory and Design, 3/e (OUP, 1999).

Table of Contents

Preface

1. Introduction

1.1. Introduction

1.2. Overview

2. Mathematical Descriptions of Systems

2.1. Introduction

2.2. Causality, Lumpedness, and Time-Invariance

2.3. Linear Time-Invariant (LTI) Systems

2.4. Linear Time-Varying Systems

2.5. RLC circuits--Comparisons of Various Descriptions

2.6. Mechanical and Hydraulic Systems

2.7. Proper Rational Transfer Functions

2.8. Discrete-Time Linear Time-Invariant Systems

2.9. Concluding Remarks

3. Linear Algebra

3.1. Introduction

3.2. Basis, Representation, and Orthonormalization

3.3. Linear Algebraic Equations

3.4. Similarity Transformation

3.5. Diagonal Form and Jordan Form

3.6. Functions of a Square Matrix

3.7. Lyapunov Equation

3.8. Some Useful Formula

3.9. Quadratic Form and Positive Definiteness

3.10. Singular Value Decomposition

3.11. Norms of Matrices

4. State-Space Solutions and Realizations

4.1. Introduction

4.2. General Solution of CT LTI State-Space Equations

4.3. Computer Computation of CT State-Space Equations

4.4. Equivalent State Equations

4.5. Realizations

4.6. Solution of Linear Time-Varying (LTV) Equations

4.7. Equivalent Time-Varying Equations

4.8. Time-Varying Realizations

5. Stability

5.1. Introduction

5.2. Input-Output Stability of LTI Systems

5.3. Discrete-Time Case

5.4. Internal Stability

5.5. Lyapunov Theorem

5.6. Stability of LTV Systems

6. Controllability and Observability

6.1. Introduction

6.2. Controllability

6.3. Observability

6.4. Canonical Decomposition

6.5. Conditions in Jordan-Form Equations

6.6. Discrete-Time State-Space Equations

6.7. Controllability After Sampling

6.8. LTV State-Space Equations

7. Minimal Realizations and Coprime Fractions

7.1. Introduction

7.2. Implications of Coprimeness

7.3. Computing Coprime Fractions

7.4. Balanced Realization

7.5. Realizations from Markov Parameters

7.6. Degree of Transfer Matrices

7.7. Minimal Realizations- Matrix Case

7.8. Matrix Polynomial Fractions

7.9. Realization from Matrix Coprime Fractions

7.10. Realizations from Matrix Markov Parameters

7.11. Concluding Remarks

8. State Feedback and State Estimators

8.1. Introduction

8.2. State Feedback

8.3. Regulation and Tracking

8.4. State Estimator

8.5. Feedback from Estimated States

8.6. State feedback--MIMO case

8.7. State Estimators--MIMO case

8.8. Feedback from Estimated States--MIMO Case

9. Pole Placement and Model Matching

9.1. Introduction

9.2. Preliminary--Matching Coefficients

9.3. Unity-Feedback Configuration-Pole Placement

9.4. Implementable Transfer Functions

9.5. MIMO Unity Feedback Systems

9.6. MIMO Model Matching--Two-Parameter Configuration

9.7. Concluding Remarks

References

Answers to Selected Problems

Index

Product Details

ISBN:
9780199959570
Author:
Chen, Chi-tsong
Publisher:
Oxford University Press
Author:
Chen, Chi-Tsong
Subject:
Engineering / Electrical
Subject:
Engineering technology
Subject:
Electricity-General Electronics
Copyright:
Publication Date:
20121131
Binding:
HARDCOVER
Language:
English
Pages:
400
Dimensions:
7.6 x 9.3 x 1 in 1.8 lb

Related Subjects


Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Electricity » General Electronics

Linear System Theory and Design (Oxford Series in Electrical and Computer Engineering) New Hardcover
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Product details 400 pages Oxford University Press, USA - English 9780199959570 Reviews:
"Synopsis" by , This 4th edition of Dr. Chen's respected and popular text has been updated and revised to include, among other enhancements, new sections on computer computation and real-time processing of state-space equations; complete characterization; and a history and overview of the subject area. All MATLAB examples have been updated using the most current version of the software.
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