LMIs in Control/pages/H infinity Norm for Affine Parametric Varying Systems
< LMIs in Control | pages
The System
[edit | edit source]where and depend affinity on parameter .
The Data
[edit | edit source]The matrices .
The Optimization Problem:
[edit | edit source]Solve the following semi-definite program
Implementation
[edit | edit source]https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/5462bc1dc441bc298d50a2c35075e9466eba8355
Conclusion
[edit | edit source]The value function of the above semi-definite program returns the norm of the system.
Remark
[edit | edit source]It is assumed that is stable and is controllable and the semi-infinite convex constraint for all , is converted into a finite-dimensional convex LMI.
External Links
[edit | edit source]- 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.