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Introduction | 1. Introduction 2. Overview | ![]() |
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Introduction | 1. Introduction 2. Overview | ![]() |
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Review of automatic control | 1. Transfer function 2. Stability 3. Root locus 4. Frequency response | ![]() |
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Review of automatic control | 1. Transfer function 2. Stability 3. Root locus 4. Frequency response | ![]() |
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Mathematical Descriptions of Systems I | 1. Introduction 2. Causality, Lumpedness, and Time-Invariance 3. Linear Time-Invariant (LTI) Systems 4. Linear Time-Varying Systems 5. RLC circuits--Comparisons of Various Descripti | ![]() |
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Mathematical Descriptions of Systems I | 1. Introduction 2. Causality, Lumpedness, and Time-Invariance 3. Linear Time-Invariant (LTI) Systems 4. Linear Time-Varying Systems 5. RLC circuits--Comparisons of Various Descripti | ![]() |
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Mathematical Descriptions of Systems II | 1. Mechanical and Hydraulic Systems 2. Proper Rational Transfer Functions 3. Discrete-Time Linear Time-Invariant Systems | ![]() |
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Mathematical Descriptions of Systems II | 1. Mechanical and Hydraulic Systems 2. Proper Rational Transfer Functions 3. Discrete-Time Linear Time-Invariant Systems | ![]() |
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Linear Algebra I | 1. Introduction 2. Basis, Representation, and Orthonormalization 3. Linear Algebraic Equations 4. Similarity Transformation 5. Diagonal Form and Jordan Form | ![]() |
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Linear Algebra II | 1. Functions of a Square Matrix 2. Lyapunov Equation 3. Some Useful Formula 4. Quadratic Form and Positive Definiteness 5. Singular Value Decomposition 6. Norms of Matrices | ![]() |
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State-Space Solutions and Realizations | 1. Introduction 2. General Solution of CT LTI State-Space Equations 3. Computer Computation of CT State-Space Equations 4. Equivalent State Equations 5. Realizations 6. Solution of Linear Time-Varying (LTV) Equations 7, Equivalent Time-Varying Equations 8. Time-Varying Realizations | ![]() |
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Stability | 1. Introduction 2. Input-Output Stability of LTI Systems 3. Discrete-Time Case 4. Internal Stability 5. Lyapunov Theorem 6. Stability of LTV Systems | ![]() |
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Controllability and Observability I | 1. Introduction 2. Controllability 3. Observability 4. Canonical Decomposition | ![]() |
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Controllability and Observability II | 1. Conditions in Jordan-Form Equations 2. Discrete-Time State-Space Equations 3. Controllability After Sampling 4. LTV State-Space Equations | ![]() |
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Minimal Realizations and Coprime Fractions | 1. Introduction 2. Implications of Coprimeness 3. Computing Coprime Fractions 4. Balanced Realization 5. Realizations from Markov Parameters 6. Degree of Transfer Matrices 7. Minimal Realizations- Matrix Case 8. Matrix Polynomial Fractions 9. Realization from Matrix Coprime Fractions | ![]() |
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State Feedback and State Estimators | 1. Introduction 2. State Feedback 3. Regulation and Tracking 4. State Estimator 5. Feedback from Estimated States 6. State feedback--MIMO case 7. State Estimators--MIMO case 8. Feedback from Estimated States-MIMO Case | ![]() |
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Pole Placement and Model Matching | 1.- Introduction 2. Preliminary--Matching Coefficients 3. Unity-Feedback Configuration-Pole Placement 4. Implementable Transfer Functions 5. MIMO Unity Feedback Systems 6. MIMO Model Matching--Two-Parameter Configuration | ![]() |