LMIs in Control/pages/L2 gain of Lure systems
< LMIs in Control | pages
(Redirected from LMIs in Control/pages/L2 gain of Lure syatems)The System edit
The Data edit
The matrices .
The Optimization Problem: edit
The following semi-definite problem should be solved.
Implementation edit
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/12a7039f9e3d966e24b43fd58a3cce3725282ed2
Conclusion edit
The value function returns the square of the smallest provable upper bound on the gain of the Lure's system.
Remark edit
The Lyapunov function which is used to proof is similar to the one for the systems with unknown parameters.
External Links edit
- LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
- LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes.
- LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.