LMIs in Control/Click here to continue/Controller synthesis/H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
LMIs in Control/Click here to continue/Controller synthesis/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
The Data edit
The matrices .
The Optimization Problem edit
Minimize subject to the LMI constraints below.
The LMI: edit
Conclusion: edit
The controller gains, K, are calculated by .
Implementation edit
Related LMIs edit
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
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.