Modern Control Systems: An Introduction | by S. M. Tripathi | ISBN: 9781934015216. Controls Engineering Books. DIGITAL CONTROL SYSTEMS. Adaptive Control. Continuous-Time Systems. Discrete-Time Systems. Nonlinear Systems. OPTIMAL CONTROL PROBLEMS
Modern Control Systems: An Introduction
by S. M. Tripathi
ISBN:9781934015216
With numerous examples and exercises for self-study, this book is designed for a short course on control systems or as a review for the professional engineer and provides a lucid introduction to modern control systems topics.
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Modern Control Systems—An Introduction
Chapter 1 – State-Variable Analysis of Continuous-Time Systems
1.1: INTRODUCTION
1.2: DEFINITIONS CONCERNING THE STATE-SPACE APPROACH
1.3: BLOCK-DIAGRAM REPRESENTATION OF A GENERAL CONTROL SYSTEM
1.4: STATE MODEL OF A GENERAL CONTROL SYSTEM
1.5: STATE MODEL OF A LINEAR MULTI-INPUT-MULTI-OUTPUT SYSTEM
1.6: STATE MODEL OF A LINEAR SINGLE-INPUT-SINGLE-OUTPUT SYSTEM
1.7: LINEARIZATION OF THE STATE EQUATION OF A GENERAL TIME-INVARIANT CONTROL SYSTEM
1.8: HOMOGENEOUS AND NONHOMOGENEOUS LINEAR TIME-INVARIANT SYSTEMS
1.9: SOLUTION OF STATE EQUATIONS FOR LINEAR TIME-INVARIANT SYSTEMS
1.10: SOLUTION OF STATE EQUATIONS FOR LINEAR TIME-VARYING SYSTEMS
1.11: TRANSFER MATRIX FROM THE STATE MODEL
1.12: CHARACTERISTIC EQUATION, EIGENVALUES, AND EIGENVECTORS
1.13: STATE-SPACE REPRESENTATION OF CONTROL SYSTEMS
1.4: SIMILARITY TRANSFORMATION
1.15: CONCEPTS OF CONTROLLABILITY AND OBSERVABILITY
EXERCISES
REFERENCES
Chapter 2 – Analysis of Discrete-Time Systems
2.1: INTRODUCTION
2.2: SAMPLED-DATA AND DIGITAL CONTROL SYSTEMS
2.3: THE Z-TRANSFORM
2.4: THE INVERSE Z-TRANSFORM
2.5: SOLUTION OF DIFFERENCE-EQUATIONS USING THE Z-TRANSFORM
2.6: THE Z-TRANSFER FUNCTION (PULSE TRANSFER FUNCTION)
2.7: STATE-SPACE REPRESENTATION OF DISCRETE-TIME SYSTEMS
2.8: SOLUTION OF STATE-EQUATIONS FOR LINEAR TIME-INVARIANT DISCRETE-TIME SYSTEMS
EXERCISES
REFERENCES
Chapter 3 – Stability Analysis of Nonlinear Systems
3.1: INTRODUCTION
3.2: AUTONOMOUS SYSTEM AND EQUILIBRIUM STATE
3.3: STABILITY DEFINITIONS
3.4: CONCEPT OF SIGN-DEFINITENESS
3.5: QUADRATIC FORM OF A SCALAR FUNCTION
3.6: DEFINITENESS OF A MATRIX (SYLVESTOR’S THEOREM)
3.7: LYAPUNOV’S STABILITY CRITERION (DIRECT METHOD OF LYAPUNOV)
3.8: LYAPUNOV’S DIRECT METHOD AND LINEAR TIME-INVARIANT SYSTEM
3.9: CONSTRUCTING LYAPUNOV’S FUNCTION FOR NONLINEAR SYSTEMS (KRASOVSKII’S METHOD)
3.10: POPOV’S CRITERION FOR STABILITY OF NONLINEAR SYSTEMS
EXERCISES
REFERENCES
Chapter 4 – Optimal Control
4.1: INTRODUCTION
4.2: PERFORMANCE INDICES
4.3: OPTIMAL CONTROL PROBLEMS
4.4: MINIMIZATION OF PERFORMANCE INDEX
4.5: PRINCIPLE OF OPTIMALITY
4.6: SOLUTIONS TO OPTIMAL CONTROL PROBLEMS
REFERENCES
Chapter 5 – Adaptive Control
5.1: INTRODUCTION
5.2: ESSENTIAL COMPONENTS OF AN ADAPTIVE SYSTEM
5.3: ADAPTIVE SCHEMES
5.4: ABUSES OF ADAPTIVE CONTROL
5.5: APPLICATIONS
EXERCISES
REFERENCES
Appendix A – Selected Answers to the Exercises
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Appendix B – Laplace and Z-Transform Pairs
Appendix C – About the CD-ROM
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