Control Systems de Anoop K. Jairath

Control Systems: A State Variable Approach

Anoop K. Jairath

Easily read and understood, this book offers a simple and practical approach to the study and analysis of control systems. It integrates MATLAB examples with the conventional approach and includes solved problems and examples in each chapter. The initial chapters are devoted to the basic study of the control system and understanding of MATLAB so that readers need not consult any other book.

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Cuprins

Preface, Chapter 1 Introduction 1.1 Introduction 1.2 Basic Steps to Design a Control System 1.3 Mathematical Representation Chapter 2 Matrices 2.1 Introduction 2.2 Definition of Matrix 2.3 Square Matrix 2.4 Column Matrix or Vector 2.5 Row Matrix or Vector 2.6 Diagonal Matrix 2.7 Identity Matrix 2.8 NullMatrix 2.9 Symmetrie Matrix 2.10 Determinant of Matrix 7 2.11 Matrix Algebra 2.12 Transpose of a Matrix 2.13 Adjoint of a Matrix 2.14 Inverse of a Matrix 2.15 Rank of a Matrix 2.16 Trace of a Matrix 2.17 Derivative of a Matrix 2.18 Exponential of a Matrix Chapter 3 Laplace Transform 3.1 lntroduction 3.2 Definition of Laplace Transform 3.3 Laplace Theorems 3.4 Laplace Transform Theorems 3.5 Important Laplace Transform Pairs 3.6 Inverse Laplace Transform 3.7 Partial-Fraction Expansion Method 3.8 Convolution Integral 3.9 Solution of Differential Equations 3.10 Conclusion Chapter 4 MATLAB Basics 4.1 Introduction 4.2 MATLAB Environment 4.3 MATLAB Features 4.4 Vectors 4.5 Matrices 4.6 Eigenvalues and Eigenvectors 4.7 Transfer Functions 4.8 Polynomials 4.9 Partial Fractions 4.10 Symbolic Math Commands Chapter 5 Control System: Basic Theory 5.1 Introduction 5.2 Definition 5.3 Classification 5.4 General Classification 5.5 Elements of a Feedback Control System 5.6 Representation of Control Systems 5.7 Mason's Gain Formula 5.8 Conclusion Chapter 6 State-Space Concepts and Analysis of State-Equations 6.1 Introduction 6.2 Basicerms 6.3 Trajectories in State Space 6.4 Nonlinearities and Linearisation6.5 State Equation 6.6 State Equation: Homogenaus and Non-Homogenaus Parts 6.7 Solution ofNon-Homogeneous State Equations 6.8 Solution of Non-Homogenaus Time-Invariant Matrix Differential Equation 6.9 Solution ofHomogenous Time-lnvariant Matrix Differential Equation 6.10 State-Transition Matrix 6.11 Properties of State Transition Matrix 6.12 Computation of State Transition Matrix 6.13 Laplace Transform Solution of State-Equations (Frequency-Domain Analysis) 6.14 Transfer Function Matrix 6.15 Representation of State-Equation Solution in Terms of lj>(t) 6.16 Characteristic Equation 6.17 MATLAB Chapter 7 State-Space Modelling 7.1 lntroduction 7.2 State-Variable Diagram 7.3 State Models: Signal Flow Graphs 7.4 State Models-Various Forms 7.5 Similarity Transformations 7.6 Other Useful Transformation 7.7 Decomposition of Transfer Function 7.8 MATLAB Chapter 8 Controllability and Observability 8.1 lntroduction 8.2 Cantrollability and Observability 8.3 Definition 8.4 Cantrollability Tests 8.5 Rank of a Matrix 8.6 Observability Tests 8.7 Output Cantrollability 8.8 Pole-zero Cancellation in Transfer Function 8.9 Duality Theorem/Principle/Property 8.10 Design 8.11 Ackermann's Formula 8.12 MATLAB Summary 314 Problems and Solutions, Review Exercise, References, Index.

Notă biografică

Anoop K. JairathAnoop Kumar Jairath completed his graduation in Electrical Engineering and post-graduation in Control Systems from a reputed College in India. An electrical engineer by profession, he has been teaching control systems to undergraduate students for over 2 decades now. Deeply interested in research in this field, he has served as a project guide in a number of research projects. And has helped number graduates in getting their post-graduation. He is presently involved in policy making and providing consultancy in the field of electrical engineering. Based on his academic excellence, practical experience and contribution. He has been selected as Chartered Engineer and nominated as Fellow by the Institute of Engineers and also as a Fellow of the Institute of Electrical and Electronics Engineers of India. He is also a member of the Committee of the Bureau of. Indian standards for forming standards for primary and secondary batteries.

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