Week 07
State Observers
I use the saved simulation video as a starting point to revisit state-space control, observers, and digital control.
What I connect in this unit
A Luenberger observer combines the model input with output innovation to estimate unmeasured states. Estimation error follows A-LC, and the separation principle allows observer and controller poles to be selected independently.
Concept map
- Luenberger observers
- Estimation error
- Observer poles
- Separation principle
Technical anchor
With xhat'=Axhat+Bu+L(y-Cxhat) and e=x-xhat, the error obeys e'=(A-LC)e. After selecting error poles, mark the innovation path in the combined observer-feedback block diagram.
How I review it
Overlay true and estimated states from a nonzero initial estimation error, and inspect how overly fast observer poles can amplify measurement noise through L.
Connection to the full course
Unit 7 of 12. This study sequence connects the system flow visible in the video with standard control topics; it is not a claim about lecture weeks.