1. |
|
Introduction
|
1. Introduction
2. Overview |
|
|
|
Introduction
|
1. Introduction
2. Overview |
|
2. |
|
Review of automatic control
|
1. Transfer function
2. Stability
3. Root locus
4. Frequency response |
|
|
|
Review of automatic control
|
1. Transfer function
2. Stability
3. Root locus
4. Frequency response |
|
3. |
|
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 |
|
|
|
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 |
|
4. |
|
Mathematical Descriptions of Systems II
|
1. Mechanical and Hydraulic Systems
2. Proper Rational Transfer Functions
3. Discrete-Time Linear Time-Invariant Systems |
|
|
|
Mathematical Descriptions of Systems II
|
1. Mechanical and Hydraulic Systems
2. Proper Rational Transfer Functions
3. Discrete-Time Linear Time-Invariant Systems |
|
5. |
|
Linear Algebra I
|
1. Introduction
2. Basis, Representation, and Orthonormalization
3. Linear Algebraic Equations
4. Similarity Transformation
5. Diagonal Form and Jordan Form |
|
6. |
|
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 |
|
7. |
|
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 |
|
8. |
|
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 |
|
9. |
|
Controllability and Observability I
|
1. Introduction
2. Controllability
3. Observability
4. Canonical Decomposition |
|
10. |
|
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 |
|
11. |
|
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 |
|
12. |
|
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 |
|
13. |
|
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 |
|