Control systems : the state variable approach (conventional and MATLAB)
发布日期:2010-04-01 浏览次
【内容简介】Offers a simple and practical approach to the study and analysis of control systems. This book integrates MATLAB examples with the conventional approach and includes solved problems and examples in each chapter. It offers the basic study of the control system and understanding of MATLAB. 【目次】Introduction 1 (4) Introduction 1 (1) Basic Steps to Design a Control System 1 (1) Mathematical Representation 2 (3) Summary 4 (1) Review Exercise 4 (1) Matrices 5 (16) Introduction 5 (1) Definition of Matrix 5 (1) Square Matrix 5 (1) Column Matrix or Vector 6 (1) Row Matrix or Vector 6 (1) Diagonal Matrix 6 (1) Identity Matrix 6 (1) Null Matrix 6 (1) Symmetric Matrix 7 (1) Determinant of Matrix 7 (2) Matrix Algebra 9 (3) Addition 9 (1) Subtraction 10 (1) Multiplication 10 (2) Transpose of a Matrix 12 (1) Adjoint of a Matrix 13 (1) Inverse of a Matrix 14 (1) Rank of a Matrix 14 (1) Trace of a Matrix 14 (1) Derivative of a Matrix 15 (1) Exponential of a Matrix 15 (6) Problems and Solutions 15 (4) Summary 19 (1) Review Exercise 19 (2) Laplace Transform 21 (28) Introduction 21 (1) Definition of Laplace Transform 21 (1) Laplace Theorems 22 (5) Initial Value Theorem 23 (1) Final Value Theorem 23 (1) Other Laplace Theorems 24 (3) Laplace Transform Theorems 27 (1) Important Laplace Transform Pairs 28 (1) Inverse Laplace Tranform 29 (1) Partial-Fraction Expansion Method 29 (5) Real and Distinct Roots of the Denominator Polynomial 29 (2) Real and Repeated Roots of the Denominator Polynomial 31 (1) Complex---Conjugate Roots of the Denominator Polynomial 32 (2) Convolution Integral 34 (2) Solution of Differential Equations 36 (1) Conclusion 37 (12) Problems and Solutions 38 (10) Review Exercise 48 (1) Matlab Basics 49 (48) Introduction 49 (1) Matlab Environment 50 (9) Matlab Features 59 (2) Vectors 61 (1) Matrices 61 (6) Matrix Input 61 (1) Matrix Functions 62 (2) Matrix Operations 64 (3) Eigenvalues and Eigenvectors 67 (3) Transfer Functions 70 (1) Polynomials 71 (3) Partial Fractions 74 (1) Symbolic Math Commands 75 (22) Summary 76 (1) Problems and Solutions 76 (19) Review Exercise 95 (2) Control System: Basic Theory 97 (25) Introduction 97 (1) Definition 98 (1) Classification 98 (1) General Classification 99 (2) Elements of a Feedback Control System 101 (1) Representation of Control Systems 102 (6) Block Diagrams 102 (4) Signal Flow Graph 106 (2) Mason's Gain Formula 108 (1) Conclusion 109 (13) Problems and Solutions 110 (9) Review Exercise 119 (3) State-Space Concepts and Analysis of State-Equations 122 (41) Introduction 122 (1) Basic Terms 122 (2) Trajectories in State Space 124 (1) Nonlinearities and Linearisation 125 (1) State Equation 126 (3) State Equation: Homogenous and Non-Homogenous Parts 129 (1) Solution of Non-Homogenous State Equations 129 (2) Solution of Non-Homogenous Time-Invariant Matrix Differential Equation 131 (2) Solution of Homogenous Time-Invariant Matrix Differential Equation 133 (1) State-Transition Matrix 133 (3) Properties of State Transition Matrix 136 (2) Computation of State Transition Matrix 138 (1) Laplace Transform Solution of State-Equations (Frequency-Domain Analysis) 139 (1) Transfer Function Matrix 140 (1) Representation of State-Equation Solution in Terms of φ(t)Annex 140 (1) Characteristic Equation 141 (2) Matlab 143 (20) Summary 145 (1) Problems and Solutions 146 (15) Review Exercise 161 (2) State-Space Modelling 163 (104) Introduction 163 (1) State-Varible Diagram 164 (3) State-Models-Various Forms 167 (2) State Models-Various Forms 169 (19) Physical Variable Form 169 (1) Phase Variable Form 170 (5) Jordan Canonical Form 175 (13) Similarity Transformations 188 (2) Characteristic Equation 189 (1) Transfer Function Matrix (G(S)) 189 (1) Other Useful Transformation 190 (6) Controllability Canonical Form (CCF) 190 ......
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