The document presents a state variable analysis focusing on concepts such as state variables, state models for linear time-invariant systems, and the solution of state and output equations. It discusses controllability and observability, including the effect of state feedback, and concludes that a specific system is observable based on its rank. The work was presented by Mr. C.S. Satheesh at Muthayammal Engineering College, Tamil Nadu, India.

1. State Variable Analysis
(Observability & Controllability)
Presented by
Mr. C.S.Satheesh, M.E.,
Assistant Professor, Department of EEE,
Muthayammal Engineering College (Autonomous)
Namakkal (Dt), Rasipuram – 637408.
MUTHAYAMMAL ENGINEERING COLLEGE
(An Autonomous Institution)
(Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University),
Rasipuram - 637 408, Namakkal Dist., Tamil Nadu, India.

2. STATE VARIABLE ANALYSIS
• Concept of state variables
• State models for linear and time invariant Systems
• Solution of state and output equation in controllable
canonical form
• Concepts of controllability and observability
• Effect of state feedback.

3. 3

4. 4

5. 5

6. 6

7. 7

8. 8

9. 9

10. 10

11. 11

12. 12

13. 13

14. 14

15. 15

16. 16

17. 17

18. 18

19. 19

20. 20

21. 21

22. 22

23. 23

24. 24

25. 25

26. 26

27. 27

28. 28

29. 29

30. 30

31. 31

32. 32

33. 33

34. 34

35. 35

36. 36

37. 37

38. 38

39. 39

40. 40

41. 41

42. 42

61. Hence, the rank of Q0=n=2,therefore, the system is observable

65. References :
 A.Nagoorkani, Control Systems,
RBA Publications.
4/5/2021 65

66. Thank You
66