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LMIs in Control/Click here to continue/Controller synthesis/Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
If the system is quadratically stable, then there exists some and such that the LMI is feasible. The and matrices can also be used to create a quadratically stabilizing controller.
The System
The Data
The matrices .
The LMI:
Conclusion:
There exists a controller for the system with where is the quadratically stabilizing controller, if the above LMI is feasible.
Implementation
https://github.com/mcavorsi/LMI
Related LMIs
H-infinity Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
Stabilizing State-Feedback Controllers with Structured Norm-Bounded Uncertainty
Optimal State-Feedback Controllers with Structured Norm-Bounded Uncertainty
External Links
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
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