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
editThe Data
editThe matrices .
The Optimization Problem:
editThe following semi-definite problem should be solved.
Implementation
edithttps://github.com/mkhajenejad/Mohammad-Khajenejad/commit/12a7039f9e3d966e24b43fd58a3cce3725282ed2
Conclusion
editThe value function returns the square of the smallest provable upper bound on the gain of the Lure's system.
Remark
editThe 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.