1. Chapter 12

2. Chapter 12

3. Chapter 12

4. Chapter 12

5. a. State-space representation of a plant; b. plant with state-feedback

6. a. Phase-variable representation for plant; b
a. Phase-variable representation for plant; b. plant with state-variable feedback

7. State-space forms for C(s)/R(s) =(s+ 3)/[(s+ 4)(s+ 6)]. Note: y = c(t)

8. Pole Placement for Plants in Phase-Variable Form

9. Pole Placement for Plants in Phase-Variable Form

10. a. Phase-variable representation for plant of Example 12. 1; b
a. Phase-variable representation for plant of Example 12.1; b. plant with state-variable feedback

11. Controller design for phase-variable form Example 12.1

12. Controller design for phase-variable form Example 12.1

13. a. controllable and b. uncontrollable systems

14. Controllability matrix

15. a. Signal-flow graph in cascade form for G(s ) =10/[(s + 1)(s + 2)]; b
a. Signal-flow graph in cascade form for G(s ) =10/[(s + 1)(s + 2)]; b. system with state feedback added

16. Controller design by transformation

17. Controller design by transformation Example

18. Controller design by transformation Example

19. Controller design by transformation Example

20. Designed system with state-variable feedback for Example