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Linear Feedback Controls
The Essentials
1st Edition - July 19, 2013
Author: Mark A. Haidekker
Hardback ISBN:
9 7 8 - 0 - 1 2 - 4 0 5 8 7 5 - 0
eBook ISBN:
9 7 8 - 0 - 1 2 - 4 0 5 5 1 3 - 1
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… Read more
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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
- 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
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
7.1 Symbols of a Block Diagram
7.2 Block Diagram Manipulation
7.3 Block Diagram Simplification Examples
7.4 Signal Flow Graphs
Chapter 8. Linearization of Nonlinear Components
8.1 Linearization of Components with Analytical Description
8.2 Linearization of Tabular Data
8.3 Linearization of Components with Graphical Data
8.4 Saturation Effects
Chapter 9. A Tale of Two Poles: The Positioner Example and the Significance of the Poles in the -Plane
9.1 A Head-Positioning System
9.2 Introducing Feedback Control
9.3 Dynamic Response of the Closed-Loop System
9.4 Dynamic Response Performance Metrics
9.5 Time-Integrated Performance Metrics
9.6 Feedback Control with a Time-Discrete Controller
Chapter 10. Stability Analysis for Linear Systems
10.1 The Routh-Hurwitz Scheme
10.2 Routh Arrays for Low-Order Systems
10.3 Stability of Time-Discrete Systems with the -Transform
10.4 The Jury Test
10.5 Jury Arrays for Low-Order Systems
10.6 Example Applications
Chapter 11. Frequency-Domain Analysis and Design Methods
11.1 Frequency Response of LTI Systems
11.2 Frequency Response and Stability
11.3 Bode Plots
11.4 Definition of Phase and Gain Margin
11.5 Construction of Bode Diagrams
11.6 Frequency Response of a Second-Order System
11.7 Frequency Response of Digital Filters
11.8 The Nyquist Stability Criterion
Chapter 12. The Root Locus Method
12.1 Graphical Construction of Root Locus Plots
12.2 Root Locus Diagrams in Scilab
12.3 Design Example: Positioner with PI Control
12.4 Design Example: Resonance Reduction
12.5 The Root Locus Method for Time-Discrete Systems
Chapter 13. The PID Controller
13.1 Intuitive Introduction
13.2 Transfer Functions with PID Control
13.3 Frequency-Domain Aspects of Control
13.4 Time-Discrete PID Controllers
13.5 Controller Tuning
13.6 Variations and Alternatives of PID Control
13.7 Conclusion
Chapter 14. Design Examples
14.1 Precision Temperature Control
14.2 Fast-Tracking Temperature Control
14.3 Motor Speed and Position Control
14.4 Resonant Sine Oscillator
14.5 Low-Distortion (Hi-Fi) Amplifiers with Feedback
14.6 Phase-Locked Loop Systems
14.7 Stabilizing an Unstable System
Appendix A. Laplace Correspondence Tables
Appendix B. Z-Transform Correspondence Tables
Appendix C Introduction to Operational Amplifiers
Appendix D. Relevant Scilab Commands
References and Further Reading
Glossary
- No. of pages: 282
- Language: English
- Published: July 19, 2013
- Imprint: Elsevier
- Hardback ISBN: 9780124058750
- eBook ISBN: 9780124055131
MH
Mark A. Haidekker
Mark A. Haidekker is Professor at College of Engineering in the University of Georgia, Athens, GA, USA
Affiliations and expertise
Professor, College of Engineering, University of Georgia, Athens, GA, USA