LMIs in Control/Click here to continue/Controller synthesis/Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
LMIs in Control/Click here to continue/Controller synthesis/Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
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
[edit | edit source]The Data
[edit | edit source]The matrices .
The LMI:
[edit | edit source]Conclusion:
[edit | edit source]There exists a controller for the system with where is the quadratically stabilizing controller, if the above LMI is feasible.
Implementation
[edit | edit source]https://github.com/mcavorsi/LMI
Related LMIs
[edit | edit source]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
[edit | edit source]- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.