LMIs in Control/pages/Dissipativity of Affine Parametric Varying Systems

The SystemEdit

 

where   and   depend affinely on parameter  .

The DataEdit

The matrices  .

The Optimization Problem:Edit

Solve the following semi-definite program

 

ImplementationEdit

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/b6cd6b81f75be4a2052ba3fa76cad1a2f9c49caa

ConclusionEdit

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.

RemarkEdit

It is worth noticing that passivity corresponds to zero dissipativity.

External LinksEdit


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