LMIs in Control/Controller Synthesis/Continuous Time/Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
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LMIs in Control/Controller Synthesis/Continuous Time/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.