Linear Feedback Controls

1st Edition

The Essentials

Authors: Mark Haidekker
Print ISBN: 9780128102527
eBook ISBN: 9780124055131
Imprint: Elsevier
Published Date: 1st July 2013
Page Count: 282
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The design of control systems is at the very core of engineering. Feedback controls are ubiquitous, ranging from simple room thermostats to airplane engine control. Helping to make sense of this wide-ranging field, this book provides a new approach by keeping a tight focus on the essentials with a limited, yet consistent set of examples. Analysis and design methods are explained in terms of theory and practice. The book covers classical, linear feedback controls, and linear approximations are used when needed. In parallel, the book covers time-discrete (digital) control systems and juxtaposes time-continuous and time-discrete treatment when needed. One chapter covers the industry-standard PID control, and one chapter provides several design examples with proposed solutions to commonly encountered design problems.

The book is ideal for upper level students in electrical engineering, mechanical engineering, biological/biomedical engineering, chemical engineering and agricultural and environmental engineering and provides a helpful refresher or introduction for graduate students and professionals

Key Features

  • Focuses on the essentials of control fundamentals, system analysis, mathematical description and modeling, and control design to guide the reader
  • Illustrates the theory and practical application for each point using real-world examples
  • Strands weave throughout the book, allowing the reader to understand clearly the use and limits of different analysis and design tools


Advanced undergraduate and graduate students as well as professionals  in the fields of electrical, mechanical, biological/biomedical, chemical, agricultural and environmental engineering.

Table of Contents



List of Commonly Used Symbols

Chapter 1. Introduction to Linear Feedback Controls

1.1 What are Feedback Control Systems?

1.2 Some Terminology

1.3 Design of Feedback Control Systems

1.4 Two-Point Control

Chapter 2. Systems and Signals

2.1 Example First-Order System: The Lowpass

2.2 Example Second-Order System: The Spring-Mass-Damper System

2.3 Obtaining the System Response from a Step Input

2.4 State-Space Models

2.5 Systems and Signals in Scilab

Chapter 3. Solving Differential Equations in the Laplace Domain

3.1 The Laplace Transform

3.2 Fourier Series and the Fourier Transform

3.3 Representation of the RC Lowpass and Spring-Mass-Damper Systems in the Laplace Domain

3.4 Transient and Steady-State Response

3.5 Partial Fraction Expansion

3.6 Building Blocks of Linear Systems

Chapter 4. Time-Discrete Systems

4.1 Analog-to-Digital Conversion and the Zero-Order Hold

4.2 The z-Transform

4.3 The Relationship between Laplace- and z-domains

4.4 The w-Transform

4.5 Building Blocks for Digital Controllers

Chapter 5. First Comprehensive Example: The Temperature-Controlled Waterbath

5.1 Mathematical Model of the Process

5.2 Determination of the System Coefficients

5.3 Determining the Transfer Function—General Remarks

5.4 Introducing Feedback Control

5.5 Comparison of the Open-Loop and Closed-Loop Systems

Chapter 6. Laplace- and -Domain Description of the Waterbath Example

6.1 Laplace-Domain Description of the Process

6.2 The Closed-Loop System

6.3 Sensitivity and Tracking Error

6.4 Using a PI Controller

6.5 Time-Discrete Control

Chapter 7. Block Diagrams: Formal Graphical Description of Linear Systems</


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About the Author

Mark Haidekker

Affiliations and Expertise

Professor, College of Engineering, University of Georgia, Athens, GA, U.S.A.


"Contending that nonlinear control theory is a completely separate field, Hadekker focuses on linear systems to describe the core areas of classical feedback control systems, including the mathematical tools needed for control analysis and design."--Reference & Research Book News, October 2013