LMIs in Control/pages/Dissipativity of Affine Parametric Varying Systems
< LMIs in Control | pages
The System[edit | edit source]
where and depend affinely 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/b6cd6b81f75be4a2052ba3fa76cad1a2f9c49caa
Conclusion[edit | edit source]
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 | edit source]
It is worth noticing that passivity corresponds to zero dissipativity.
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.