1. |
Course introduction and physical system modeling |
RLC circuit, Newton's Principle |
60minutes |
2. |
Laplace Transform, inverse Laplace transform and Transfer function |
Complex numbers, derivative and integral, |
60minutes |
3. |
Block Diagram |
Transfer function and matrix manipulation |
60minutes |
4. |
System state solution |
Laplace Transform, inverse Laplace transform and matrix exponential |
60minutes |
5. |
System stability, Routh and Hurwitz criteria |
limit and convergence, matrix determinant, etc |
60minutes |
6. |
Steady state response, Bode diagram |
Complex analysis, MATLAB simulation |
60minutes |
7. |
Mid-term exam and review |
All from No.1 through No.7 |
120minutes |
8. |
State space representation |
matrix and vector manipulation, differential equations |
120minutes |
9. |
Transition matrix and system state solution |
Transfer function and matrix manipulation (eigenvalue, eigenvector, diagonalization, etc) |
60minutes |
10. |
Lyapunov function based system stability |
positive definite functions and derivative |
60minutes |
11. |
Controllability and observability |
matrix rank and duality |
60minutes |
12. |
State feedback and pole assignment |
Controllability, stability, etc |
60minutes |
13. |
Optimal control |
Cost function, state feedback, etc |
60minutes |
14. |
Final exam |
all from No.1 through 14 |
120minutes |
Total. |
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- |
1020minutes |