LMIs in Control/Controller Synthesis/Continuous Time/H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty
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
editThe Data
editThe matrices .
The Optimization Problem
editMinimize subject to the LMI constraints below.
The LMI:
editConclusion:
editThe controller gains, K, are calculated by .
Implementation
editRelated LMIs
editQuadratically 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.