LMIs in Control/pages/Dissipativity of Affine Parametric Varying Systems
< LMIs in Control | pages
The System
editwhere and depend affinely on parameter .
The Data
editThe matrices .
The Optimization Problem:
editSolve the following semi-definite program
Implementation
edithttps://github.com/mkhajenejad/Mohammad-Khajenejad/commit/b6cd6b81f75be4a2052ba3fa76cad1a2f9c49caa
Conclusion
editThe 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
editIt 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.