About the Author
Technologyth, now Adjunct Professor, Formerly Deputy Director, BITS, Pilani, B.E. with Honours, Birla College of Engineering, Pilani, 1951; M.S. Wisconsin University (U.S.A.), 1956. Long Teaching and Research experience, published papers in national and international journals. Co-authored several well accepted Books including Introduction to Systems, New Age International. Continuing to be active in studies and Writing work.
M. Gopal is presently a Professor, Department of Electrical Engineering, Indian Institute of Technology (IIT) Delhi. His teaching and research stints span over three decades at Iit Delhi, IIT Mumbai, BITS Pilani and REC Jaipur. He is the author/co-author of six books on Control Engineering, a video course on Control Engineering, and a large number of research publications. His current research interests are in the areas of Robust Control, Neural and Fuzzy Technologies, Process Control and Robotics.
Contents
Differential EquationsNTRODUCTION :
1. The Control System
2. Servomechanisms
3. History and Development of Automatic Control
4. Digital Computer Control
5. Application of Control Theory in Non-engineering Fields
6. The Control Problem
II. Mathematical MODELS OF Physical SYSTEMS :
1. Introduction
2. Differential Equations of Physical Systems
3. Transfer Functions
4. Block Diagram Algebra
5. Signal Flow Graphs
6. Illustrative Examples
Review Questions
Problems
III. TIME RESPONSE ANALYSIS AND DESIGN SPECIFICATIONS :
1. Introduction
2. Standard Test Signals
3. Time Response of First-order Systems
4. Time Response of Second-order Systems
5. Steady-state Errors and Error Constants
6. Effect of Adding a Zero to a System
7. Design Specifications of Second-order Systems
8. Illustrative Examples
Review Questions
Problems
IV. CONCEPTS OF Stability AND Algebraic CRITERIA :
1. The Concept of Stability
2. Necessary Conditions for Stability
3. Hurwitz Stability Criterion
4. Routh Stability Criterion
5. Relative Stability Analysis
6. More on the Routh Stability Criterion
7. Additional Examples
Review Questions
Problems
V. THE ROOT LOCUS TECHNIQUE :
1. Introduction
2. The Root Locus Concepts
3. Construction Root Loci
4. MATLAB : Tool for Design and Analysis of Control Systems-Appendix III
5. Additional Examples
Review Questions
Problems
VI. FREQUENCY RESPONSE ANALYSIS :
1. Introduction
2. Correlation between Time and Frequency Response
3. Polar Plots
4. Bode Plots
5. All-pass and Minimum-phase Systems
6. Experimental Determination of Transfer Functions
7. Log-magnitude Versus Phase Plots
8. MATLAB : Tool for Design and Analysis of Control Systems-Appendix III
Review Questions
Problems
VII. STABILITY IN FREQUENCY DOMAIN :
1. Introduction
2. Mathematical Preliminaries
3. Nyquist Stability Criterion
4. Assessment of Relative Stability Using Nyquist Criterion
Review Questions
Problems
VIII. STATE VARIABLE FORMULATION AND ANALYSIS :
1. Introduction
2. Concepts of State, State Variables and State Model
3. State Models for Linear Continuous-time Systems
4. Solution of State Equations
5. Additional Examples
Review Questions
Problems
List of Appendix (Appendices)
I. Fourier and Laplace Transforms and Partial Fractions
II. Elements of Matrix Analysis
III. MATLAB : Tool for Design and Analysis of Control Systems
IV. Time and Frequency Response-Second-Order System
V. Answers to Problems