1. |
Course introduction and physical system modeling |
Review RLC circuit, Newton's Principle |
190minutes |
2. |
Laplace Transform, inverse Laplace transform and Transfer function |
Review complex numbers, derivative and integral, |
190minutes |
3. |
Block Diagram |
Review transfer function and matrix manipulation |
190minutes |
4. |
System state solution |
Review Laplace Transform, inverse Laplace transform and matrix exponential |
190minutes |
5. |
System stability, Routh and Hurwitz criteria |
Review limit and convergence, matrix determinant, etc |
190minutes |
6. |
Steady state response, Bode diagram |
Review complex analysis, practice MATLAB simulation |
190minutes |
7. |
Mid-term exam and review |
Review all from No.1 through No.7 |
190minutes |
8. |
State space representation |
Review matrix and vector manipulation, differential equations |
190minutes |
9. |
Transition matrix and system state solution |
Review transfer function and matrix manipulation (eigenvalue, eigenvector, diagonalization, etc) |
190minutes |
10. |
Lyapunov function based system stability |
Review positive definite functions and derivative |
190minutes |
11. |
Controllability and observability |
Review matrix rank and duality |
190minutes |
12. |
State feedback and pole assignment |
Review and preview controllability, stability, etc |
190minutes |
13. |
Optimal control |
Preview cost function, state feedback, etc |
190minutes |
14. |
Final exam and review |
Review all from No.1 through 14 |
190minutes |
Total. |
- |
- |
2660minutes |