LMIs in Control/Controller Synthesis/Continuous Time/H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
Appearance
LMIs in Control/Controller Synthesis/Continuous Time/H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
If there exists some , and such that the LMI holds, then the system satisfies There also exists a controller with
The System
[edit | edit source]The Data
[edit | edit source]The matrices .
The Optimization Problem
[edit | edit source]Minimize subject to the LMI constraints below.
The LMI:
[edit | edit source]Conclusion:
[edit | edit source]The controller gains, K, are calculated by .
Implementation
[edit | edit source]https://github.com/mcavorsi/LMI
Related LMIs
[edit | edit source]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.