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State-Space Control Systems

(ME EN 5210/6210 & CH EN 5203/6203)

Video Tutorials

1. Introduction to Linear Systems

2. Modeling Systems in State-Space Form

3. Transfer Functions

4. Introduction to Discrete Systems

5. Fundamentals of Linear Algebra

6. Linear Algebraic Equations

7. Eigenvectors and Eigenvalues

8. Similarity Transformations

9. Jordan Form

10. Functions of a Square Matrix

11. Solutions of Continuous State-Space Equations

12. Solutions of Discrete State-Space Equations

13. Solutions of Sampled-Data State-Space Equations

14. State-Space Realizations of Transfer Functions

15. Continuous-Time Bounded-Input Bounded-Output Stability

16. Discrete-Time Bounded-Input Bounded-Output Stability

17. Continuous-Time Internal Stability

18. Discrete-Time Internal Stability

19. Controllability in Continuous Time

20. Observability in Continuous Time

21. Canonical Decomposition of Controllability and Observability

22. State Feedback

23. Stabilization

24. Tracking

25. Robust Tracking with Disturbance Rejection

26. State Observers

27. Feedback from Estimated States

28. Feedback from Estimated States: MIMO Case

29. LQR Method

30. Kalman Filter (Continuous Time)