LMIs in Control/Click here to continue/LMIs in system and stability Theory/Dissipativity of Affine Parametric Varying Systems
The System edit
where and depend affinely on parameter .
The Data edit
The matrices .
The Optimization Problem: edit
Solve the following semi-definite program
Implementation edit
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/b6cd6b81f75be4a2052ba3fa76cad1a2f9c49caa
Conclusion edit
The dissipativity of (see [Boyd,eq:6.59]) exceeds if and only if the above LMI holds and the value function returns the minimum provable dissipativity.
Remark edit
It is worth noticing that passivity corresponds to zero dissipativity.
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.