1. 8.4 Control of Multivariable Systems
Controllability and Observability Tests
Controllability
Observability

2. 8.4 Control of Multivariable Systems
State Variable FEEDBACK design (Regulator design)

3. State Variable FEEDBACK design (Regulator design)
Finding Feedback values for K from
Three methods
1) Direct Comparison Method

4. State Variable FEEDBACK design (Regulator design)
2) Controllable Canonical Form Method

5. 8.4 Control of Multivariable Systems
State Observers

6. 8.4 Control of Multivariable Systems
Full order
State Observer

7. 8.4 Control of Multivariable Systems

8. 8.4 Control of Multivariable Systems
Luenberger
State Observer

9. 8.4 Control of Multivariable Systems

10. 8.4 Control of Multivariable Systems

11. 8.4 Control of Multivariable Systems
State Observers
State Observers in Full Order State Observer in a Closed Loop System
Reduced State Observers HOMEWORK
Examples: Examples in Chapter 8
Project and Lab Progress