LMIs in Control/D-Stability/Observer D-Stability
LMIs in Control/D-Stability/Observer D-Stability
This is a WIP Page.
The System
[edit | edit source]The Data
[edit | edit source]In order to properly define the acceptable region of the poles in the complex plane, we need the following three pieces of data: rise time (), settling time (), and percent overshoot (). From this, we have to then define the acceptable region in the complex plane that the poles can lie on using the following inequality constraints:
Rise Time:
Settling Time:
Percent Overshoot:
Assume that is the complex pole location, then:
This then allows us to modify our inequality constraints as:
Rise Time:
Settling Time:
Percent Overshoot:
The Optimization Problem
[edit | edit source]A description of the Problem to be solved, if appropriate.
The LMI: The Observer D-Stability
[edit | edit source]Title and mathematical description of the LMI formulation.
Conclusion:
[edit | edit source]Interpretation of the results of the LMI
Implementation
[edit | edit source]A link to CodeOcean or other online implementation of the LMI