Engineering Mathematics

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DESCRIPTION :

This important new edition provides a complete course in engineering mathematics for degree and diploma students in electronic, electrical, systems and telecommunications engineering. It can be used throughout 1st and 2nd year degree programmes.
It is also extremely relevant to the growing areas of computer, software and design engineering. The authors are experienced teachers of mathematics to engineering students. They have written several highly acclaimed textbooks in this area.Available with this text is a CD-based testing and assessment package, with interactive multi-choice, multi-answer and hot-spot questions that allow students to test their understanding of the key topics. Ideal for reinforcing learning during the course or pre-examination revision, all questions will provide detailed student feedback on-screen, and also direct students to the relevant section or page in the text for further study. A networkable version of the CD for use in diagnostic assessment is also available for purchase by university departments.

FEATURES :
  • This book develops and illustrates concepts through relevant and modern engineering examples.
  • All the necessary mathematical foundations are covered in detail in the early chapters, making this text particularly suitable for students from a variety of backgrounds. There is thorough coverage of Laplace, z and Fourier transforms, providing an excellent foundation for signal processing methods.
  • Key new changes based on extensive research from students and lecturers.
  • Improved format and 2-colour text design.
  • Increased coverage of basic algebraic techniques.
  • A new chapter on co-ordinate systems.
  • Extensive new material on the discrete Fourier transform and related. techniques, of particular relevance to digital signal processing.
  • Enhanced coverage of line, surface and volume integrals.
  • Supplements package includes companion web site and solutions manual.

CONTENTS :
Preface.
1.Review Of Algebraic Techniques.
2.Engineering Functions.
3.The Trigonometics Functions.
4.Coordinate Systems.
5.Discrete Mathematics.
6.Sequences And Series.
7.Vectors.
8.Matrix Algebra.
9.Complex Numbers.
10.Differentiation.
11.Techniques Of Differentiation.
12.Application Of Differentiation.
13.Integration.
14.Techniques Of Integration.
15.Applications Of Integration.
16.Further Topics In Integration.
17.Numerical Integration.
18.Taylor Polynomials, Taylor Series And Maclaurin Series.
19.Ordinary Differential Equations I.
20.Ordinary Differential Equations II.
21.The Laplace Transform.
22.Difference Equations And The Z Transform.
23.Fourier Series.
24.The Fourier Transform.
25.Functions Of Several Variables.
26.Vector Calculus.
27.Line Integrals And Multiple Integrals.
28.Probability.
29.Statistics And Probability Distributions.
Appendix.
I.Appendix.
II.Appendix.
III.Appendix.
IV.Key Results.

Modern Control Engineering International Version 5th Edition

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MODERN CONTROL ENGINEERING

DESCRIPTION :
For senior or graduate-level students taking a first course in Control Theory (in departments of Mechanical, Electrical, Aerospace, and Chemical Engineering).

A comprehensive, senior-level textbook for control engineering.

Ogata’s Modern Control Engineering, 5/e, offers the comprehensive coverage of continuous-time control systems that all senior students must have, including frequency response approach, root-locus approach, and state-space approach to analysis and design of control systems. The text provides a gradual development of control theory, shows how to solve all computational problems with MATLAB, and avoids highly mathematical arguments. A wealth of examples and worked problems are featured throughout the text.
The new edition includes improved coverage of Root-Locus Analysis (Chapter 6) and Frequency-Response Analysis (Chapter 8). The author has also updated and revised many of the worked examples and end-of-chapter problems.

FEATURES :
Chapter 8 first discusses PID control in general and then presents two-degrees-of-freedom control systems — Presents a computational (MATLAB) method to determine system parameters so the system will have the desired transient characteristics.

An improved chapter on the design of control systems in state space (Chapter 10) — This chapter treats pole placement and observer design and includes quadratic optimal control. MATLAB is extensively used in the design problems using pole placement and observer design.

An in-depth treatment of topics emphasizes both the basic concepts and the design aspects of control systems.

An accessible presentation that avoids highly mathematical arguments. The author introduces mathematical proofs only when they contribute to an understanding of the material.

Over 150 chapter-end worked problems and 180 unsolved problems clarify students' understanding of the material at strategic points throughout the text.

An introduction to the two-degrees-of-freedom control system and introduction to robust control. Presents a MATLAB approach to the design of high performance control systems.
A comprehensive coverage of root-locus analyses not found in other texts.
Detailed coverage of frequency response of control systems.

AUTHOR :
Dr. Katsuhiko Ogata graduated from the University of Tokyo (BS), earned an MS degree from the University of Illinois, and his Ph.D from the University of California, Berkeley. He is Professor Emeritus at the University of Minnesota.




Contents
Preface
Chapter 1 Introduction to Control Systems
1—1 Introduction
1—2 Examples of Control Systems
1—3 Closed-Loop Control versus Open-Loop Control
1—4 Outline of the Book

Chapter 2 Mathematical Modeling of Control Systems
2—1 Introduction
2—2 Transfer Function and impulse Response Function
2—3 Atomatic Control Systems
2—4 Modeling in state space
2—5 State-Space Representation of Scalar Differential Equation System
2—6 Transformation of Mathematical models with MATLAB
2—7 Linearization of Nonlinear Mathematical Models
Example Problems and Solutions Problems
Chapter 3 Mathematical Modeling of Mechanical Systems and Electrical Systems
3—1 Introduction
3—2 Mathematical Modeling of Mechanical Systems
3—3 Mathematical Modeling of Electrical Systems
Example Problems and Solutions Problems

Chapter 4 Mathematical Modeling of Fluid Systems
and Thermal Systems
4—1 Introduction 152
4—2 Liquid-Level Systems
4—3 Pneumatic Systems
4—4 Hydraulic Systems
4—5 Thermal Systems
Example Problems and Solutions Problems

Chapter 5 Transient and Steady-State Response Analyses
5—1 Introduction
5—2 First-Order Systems
5—3 Second-Order Systems
5—4 Higher Order Systems
5—5 Transient-Response Analysis with MATLAB
5—6 Routh’s Stability Criterion
5—7 Effects of Integral and Derivative Control Actions on System
Performance
5—8 Steady-State Errors in Unity-Feedback Control Systems
Example Problems and Solutions Problems
Chapter 6 Control Systems Analysis and design by the Root-Locus Method
6—1 Introduction
6—2 Root-Locus Plots
6—3 plotting Root Loci with MATLAB
6—4 Root-Locus Plots of Positive Feedback Systems
6—5 Root-Locus Approach to control Systems Design
6—6 Lead Compensation
6—7 Lag Compensation
6-8 Lag-Lead Compensation
Example Problems and Solutions Problems

Chapter 7 Control Systems Analysis and Design by the Frequency Response Method
7—1 Introduction
7—2 Bode Digrams
7—3 Polar Plots
7—4 Log-Magnitude-versus-Phase plots
7—5 Nyquist Stability Criterion
7—6 Stability Analysis
7-7 Relative Stability Analysis
7-8 Closed-Loop Frequency Response of Unity-feedback Systems
7-9 Experimental Determination of Transfer functions
7-10 Control Systems design by Frequency Response Approach
7-11 Lead Compensation
7-12 Lag Compensation
7-13 Lag-Lead Compensation
Example Problems and Solutions Problems

Chapter 8 PID Controllers and Modified PID Controllers
8—1 Introduction
8—2 Ziegler- Nichols Rules for tuning PID controllers
8—3 Design of PID Controllers with Frequency Response Approach
8—4 Design of PID Controllers with Computational Optimization Approach
8—5 Modification of PID Control Schemes
8—6 Two-Degrees-of-freedom PID Control Schemes
8—7 Zero Placement Approach to Improve Response
Example Problems and Solutions Problems

Chapter 9 Control Systems Analysis in State Space
9—1 Introduction
9—2 State-space Representations of Transfer-Function Systems
9—3 Transformation of System Models with MATLAB
9—4 Solving the Time-Invariant State Equation
9—5 Some Useful Results in vector-Matrix Analysis
9-6 Controllability
9-7 Observability
Example Problems and Solutions Problems

Chapter 10 Control Systems Design of in State Space
10—1 Introduction
10—2 Pole Placement
10—3 Solving Pole-Placement Problems with MATLAB
10—4 Design of Servo Systems
10—5 State Observers
10—6 Design of Regulator Systems with Observers
10—7 Design of Control Systems with Observers
10—8 Quadratic Optimal Regulator Systems
10-9 Robust Control Solutions
Example Problems and Solutions Problems
Appendix A
Appendix B
Appendix C
References
Index

 

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