This book covers the basic aspects of linear single loop feedback control theory. Explanations of the mathematical concepts used in classical control such as root loci, frequency response and stability methods are explained by making use of MATLAB plots but omitting the detailed mathematics found in many textbooks


The book will help the reader gain a better understanding and deeper knowledge of the topics covered in this textbook.

Contents
Preface
About the author
1. Introduction
1.1 What is Control Engineering?
1.2 Contents of the Book
1.3 References
2. Mathematical Model Representations of Linear Dynamical Systems
2.1 Introduction
2.2 The Laplace Transform and Transfer Functions
2.3 State space representations
2.4 Mathematical Models in MATLAB
2.5 Interconnecting Models in MATLAB
2.6 Reference
3. Transfer Functions and Their Responses
3.1 Introduction
3.2 Step Responses of Some Specific Transfer Functions
3.3 Response to a Sinusoid
4. Frequency Responses and Their Plotting
4.1 Introduction
4.2 Bode Diagram
4.3 Nyquist Plot
4.4 Nichols Plot
5. The Basic Feedback Loop
5.1 Introduction
5.2 The Closed Loop
5.3 System Specifications
5.4 Stability
6. More on Analysis of the Closed Loop System
6.1 Introduction
6.2 Time Delay
6.3 The Root Locus
6.4 Relative Stability
6.5 M and N Circles
7. Classical Controller Design
7.1 Introduction
7.2 Phase Lead Design
7.3 Phase Lag Design
7.4 PID Control
7.5 References
8. Parameter Optimisation for Fixed Controllers
8.1 Introduction
8.2 Some Simple Examples
8.3 Standard Forms
8.4 Control of an Unstable Plant
8.5 Further Comments
8.6 References
9. Further Controller Design Considerations
9.1 Introduction
9.2 Lag-Lead Compensation
9.3 Speed Control
9.4 Position Control
9.5 A Transfer Function with Complex Poles
9.6 The Effect of Parameter Variations
9.7 References
10. State Space Methods
10.1 Introduction
10.2 Solution of the State Equation
10.3 A State Transformation
10.4 State Representations of Transfer Functions
10.5 State Transformations between Different Forms
10.6 Evaluation of the State Transition Matrix
10.7 Controllability and Observability
10.8 Cascade Connection
11. Some State Space Design Methods
11.1 Introduction
11.2 State Variable Feedback
11.3 Linear Quadratic Regulator Problem
11.4 State Variable Feedback for Standard Forms
11.5 Transfer Function with Complex Poles
12. Appendix: The Laplace Transformation, The Routh-Hurwitz Criterion, Pade Table, Table of Integrals

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