**Book Name:**Linear Control System Analysis and Design with MATLAB**Pages:**712**Size:**17 MB

# Linear Control System Analysis and Design with MATLAB PDF

## Contents of Linear Control System Analysis and Design with MATLAB PDF

- Chapter 1 Introduction
- Chapter 2 Unmanned Aircraft Vehicles
- Chapter 3 Wind Energy Control Systems
- Chapter 4 Frequency Domain Analysis
- Chapter 5 Writing System Equations
- Chapter 6 Solution of Differential Equations
- Chapter 7 Laplace Transform
- Chapter 8 System Representation
- Chapter 9 Control-System Characteristics
- Chapter 10 Root Locus
- Chapter 11 Frequency Response
- Chapter 12 Closed-Loop Tracking Performance Based on Frequency Response
- Chapter 13 Root-Locus Compensation: Design
- Chapter 14 Frequency-Response Compensation Design
- Chapter 15 Control-Ratio Modeling
- Chapter 16 Design: Closed-Loop Pole–Zero Assignment (State-Variable Feedback)
- Chapter 17 Parameter Sensitivity and State-Space Trajectories
- Chapter 18 Sampled-Data Control Systems
- Chapter 19 Digital Control Systems
- Appendix A: Table of Laplace Transform Pairs
- Appendix B: Matrix Linear Algebra
- Appendix C: Introduction to MATLAB® and Simulink®

## Preface to Linear Control System Analysis and Design with MATLAB PDF

The foundation of the five editions of this book was the textbook authored by J. J. D’Azzo and C. H. Houpis, Feedback Control System Analysis and Design, published by McGraw-Hill (the first edition in 1960 and the second edition in 1966). The sixth edition, in fact, can be considered to be “eighth edition.” This textbook was translated into Spanish (1970, 1977, 1989, 1990) and Portuguese (1975, 1984) and became an international bestseller.

In the latter part of the twentieth century, the fourth edition was translated into Chinese. The fundamentals of control theory, as presented in the 1960 edition, have essentially remained the same. It is therefore not surprising that even after 54 years, the publisher felt the need for a new edition to be published. The technological advances that were made during the twentieth century have necessitated the design of advanced control systems in a concurrent engineering design, which requires that control engineers play a central role from the very beginning of the project.

Many of today’s control system designs are of a multidisciplinary nature that require applying control concepts to understand the interactions of the subsystems in the entire system. They also require coordinating the different disciplines in order to achieve better system dynamics and controllability and optimum design.

Further, it also enhances the requirement that future engineering education to emphasize bridging the gap between theory and the real world. The text is divided into five parts:

- Part I—Introductory Material;
- Part II—Analog Control Systems;
- Part III—Compensation—Analog Systems;
- Part IV—Advanced Topics; and
- Part V— Digital Control Systems.

Part I consists of four chapters. Chapter 1 is an updated version of the first chapter in the fifth edition. Chapters 2 through 4 aim to motivate the readers and to enhance their creative ability. Chapter 2 deals with unmanned aerial vehicles (UAVs) or drones, which have revolutionized aerial warfare and search and rescue operations in the twenty-first century.

Chapter 3 presents an overview of wind energy control systems, which are an important source of electricity, utilizing windmills to harness wind energy. Harnessing the energy contained in oceans or lake water turbulence is also another source of electrical energy.

Chapter 4 describes the concept of frequency domain analysis (FDA), which is used in the fields of medicine, metallurgy, windmills, and control systems.

Part II consists of six chapters. Chapter 5 sets forth appropriate differential equations to describe the performance of physical systems, networks, and devices. Block diagrams, transfer functions, and the state space—essential concepts of modem control theory—are also introduced. The approach used for the state space is the simultaneous derivation of a state-vector differential equation with a SISO differential equation for a chosen physical system. The chapter also shows how to derive the mathematical concept of a physical system using Lagrange equations.

Chapter 6 presents the classical method of solving differential equations. It introduces the statevariable equation and provides a detailed explanation to derive its solution. The relationship between the transfer function and the state equation of the system is presented in Chapter 7.

The first part of Chapter 7 presents a comprehensive description of Laplace transform methods and pole-zero maps. Other aspects of matrix algebra are also introduced as background for solving the state equation using Laplace transforms. The importance of the state transition matrix is described, and the state transition equation is derived. The chapter then deals with eigenvalues and uses this theory with the Cayley–Hamilton and Sylvester theorems to evaluate the state transition matrix. Finally, the evaluation of transfer matrices is clearly explained.

Chapter 8 begins with system representation using the conventional block-diagram approach. This is followed by a discussion of simulation diagrams and the determination of the state transition equation using signal flow graphs. The chapter also explains how to derive parallel state diagrams from system transfer functions, establishing the advantages of having the state equation in an uncoupled form.

Chapter 9 introduces basic feedback system characteristics. This includes the relationship between system type and the ability of the system to follow or track polynomial inputs. Chapter 10 presents the details of the root-locus method.

Chapters 11 and 12 describe the frequency-response method using both log and polar plots. These chapters address the following topics: the Nyquist stability criterion; the correlation between the s-plane, frequency domain, and time domain; and gain setting to achieve a desired output response peak value while tracking polynomial command inputs. Part III consists of two chapters. Chapters 13 and 14 describe the methods for improving system performance, including examples of techniques for applying cascade and feedback compensators. Both the root-locus and the frequency-response methods of designing compensators are covered. Part IV consists of three chapters.

Chapter 15 develops the concept of modeling a desired control ratio with figures of merit to satisfy system performance specifications. The system inputs generally fall into two categories: (1) desired input that the system output is to track (a tracking system) and (2) an external disturbance input for which the system output is to be minimal (a disturbance-rejection system).

For both types of systems, the desired control ratio is synthesized by the proper placement of its poles and inclusion of zeros, if required. Chapter 15 Preface xxi also introduces the Guillemin–Truxal design procedure, which is used for designing a tracking control system and a design procedure emphasizing disturbance rejection.

Chapter 16 explains how to achieve desired system characteristics using complete state-variable feedback. Two important concepts of modern control theory—controllability and observability— are treated in a simple and straightforward manner.

Chapter 17 presents the sensitivity concepts of Bode, as used in the variation of system parameters. Other tools include using feedback transfer functions to form estimates of inaccessible states and a technique for linearizing a nonlinear system about its equilibrium points. Part V consists of two chapters.

Chapter 18 presents the fundamentals of sampled-data (S-D) control systems. Chapter 19 describes the design of digital control systems, demonstrating, for example, the effectiveness of digital compensation. The concept of a pseudo-continuous-time (PCT) model for a digital system permits the use of continuous-time methods to design digital control systems.

**The text has been prepared so that it can be used for self-study by electrical, aeronautical, and mechanical engineers.**

To make it a valuable resource for all engineers, we use various examples of feedback control systems and unify the treatment of physical control systems by using mathematical and block-diagram models common to all. The text consists of several CAD packages (e.g., MATLAB® [see Appendix C], Simulink®, and TOTAL-PC) to help students and practicing engineers analyze, design, and simulate control systems. The use of MATLAB is emphasized throughout the book, and many MATLAB scripts are presented as examples.

Linear control system analysis and design with matlab pdf.