| L1 |
Introduction to Dynamic Systems and Control
Matrix Algebra |
PS1 Out |
| R1 |
Linear Equations |
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| L2 |
Least Square Error Solution of Overdetermined Systems |
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| L3 |
Least Norm Solution of Underdetermined Systems |
PS1 Due
PS2 Out |
| R2 |
Least Squares |
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| L4 |
Matrix Norms
Singular Value Decomposition |
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| L5 |
Matrix Perturbation Problems |
PS2 Due
PS3 Out |
| R3 |
SVD |
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| L6 |
Dynamic Systems |
PS3 Due
PS4 Out |
| R4 |
Dynamic Models |
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| L7 |
State-space Models
Linearity and Time Invariance |
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| L8 |
Solutions of State-space Models |
PS4 Due
PS5 Out |
| R5 |
Jordan Form |
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| L9 |
Similarity Transformations
Modes of LTI Systems
Laplace Transform
Transfer Functions |
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| L10 |
Stability
Lyapunov Functions |
PS5 Due
PS6 Out |
| R6 |
Lyapunov Methods |
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| L11 |
Lyapunov’s Equation for LTI Systems |
PS6 Due |
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Test Review |
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In Class Mid-Term |
| L12 |
External I/O Stability |
PS7 Out |
| R7 |
I/O Stability |
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| L13 |
Interconnected Systems
Feedback
I/O Stability |
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| L14 |
System Norms |
PS7 Due
PS8 Out |
| R8 |
Nyquist Stability |
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| L15 |
Perfomance Measures in Feedback Control |
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| L16 |
Small Gain Theorem
Stability Robustness |
PS8 Due
PS9 Out |
| R9 |
Stability Robustness |
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| L17 |
Stability Robustness (MIMO) |
PS9 Due
PS10 Out |
| R10 |
Stability Robustness with Structured Uncertainty |
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| L18 |
Reachability — Basic Ideas |
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| L19 |
Reachability — Standard and Canonical Forms, Modal Tests, etc. |
PS10 Due
PS11 Out |
| R11 |
Reachability |
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| L20 |
Observability |
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| L21 |
Minimality
Realization
Kalman Decomposition |
PS11 Due
PS12 Out |
| L22 |
State Feedback
Observers
Output Feedback
Multivariable Poles
Zeros
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| L23 |
Minimality of Interconnections and Pole/Zero Cancellation |
PS12 Due |
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Test Review |
| L24 |
Conclusions |
Take-home Final Exam
(Exam must be submitted in 24 hours) |