課程大綱 Syllabus |
學生學習目標 Learning Objectives |
單元學習活動 Learning Activities |
學習成效評量 Evaluation |
備註 Notes |
序 No. | 單元主題 Unit topic |
內容綱要 Content summary |
1 | Introduction |
1. Introduction
2. Overview |
1. Introduction
2. Overview |
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2 | Mathematical Description of Systems |
1. Linear Systems
2. Linear Time-Invariant Systems |
1. Linear Systems
2. Linear Time-Invariant Systems |
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3 | Mathematical Description of Systems |
1. Causality and lumpedness
2. Linearization |
1. Causality and lumpedness
2. Linearization |
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4 | Linear Algebra |
1. Matrix theory (Basis, Representation, and orthonormalization)
2. Linear Algebraic Equations
3. Similarity Transformation |
1. Matrix theory (Basis, Representation, and orthonormalization)
2. Linear Algebraic Equations
3. Similarity Transformation |
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5 | Linear Algebra |
1. Diagonal Form and Jordan Form
2. Functions of a Square Matrix
3. Lyapunov Equation |
1. Diagonal Form and Jordan Form
2. Functions of a Square Matrix
3. Lyapunov Equation |
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6 | Linear Algebra |
1. Quadratic Form and Positive Definiteness
2. Singular-Value Decomposition
3. Norms of Matrices |
1. Quadratic Form and Positive Definiteness
2. Singular-Value Decomposition
3. Norms of Matrices |
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7 | State Space Solutions and Realizations |
1. Solution of LTI State Equations
2. Equivalent State Equation |
1. Solution of LTI State Equations
2. Equivalent State Equation |
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8 | State Space Solutions and Realizations |
Realizations |
Realizations |
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9 | State Space Solutions and Realizations |
1. Solution of LTV State Equations
2. Equivalent Time-Varying Equations |
1. Solution of LTV State Equations
2. Equivalent Time-Varying Equations |
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Mid-term Exam |
10 | Stability |
1. Input-Output Stability of LTI Systems
2. Internal Stability
3. Lyapunov Theorem |
1. Input-Output Stability of LTI Systems
2. Internal Stability
3. Lyapunov Theorem |
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11 | Controllability and Observability |
1. Controllability
2. Observability |
1. Controllability
2. Observability |
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12 | Controllability and Observability |
1. Canonical Decomposition
2. Conditions in Jordan-Form Equations |
1. Canonical Decomposition
2. Conditions in Jordan-Form Equations |
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13 | Minimal Realizations and Coprime Fractions |
1. Implications of Coprimeness
2. Computing Coprime Fractions |
1. Implications of Coprimeness
2. Computing Coprime Fractions |
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14 | Minimal Realizations and Coprime Fractions |
1. Balanced Realization
2. Minimal Realizations |
1. Balanced Realization
2. Minimal Realizations |
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15 | State Feedback and State Estimators |
1. State Feedback
2. Regulation and Tracking |
1. State Feedback
2. Regulation and Tracking |
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16 | State Feedback and State Estimators |
State Estimators |
State Estimators |
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17 | State Feedback and State Estimators |
Feedback From Estimated States |
Feedback From Estimated States |
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18 | Pole placement |
pole placement |
pole placement |
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Final Exam |