LMIs in Control/pages/Hankel Norm for 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

 

where   is the controllability Gramian, i.e.,  .

ImplementationEdit

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/0faedcdd9fba92bc27a318d80159c04a0b342f35

ConclusionEdit

The Hanakel norm (i.e., the square root of the maximum eigenvalue) of   is less than   if and only if the above LMI holds and the value function returns the maximum provable Hankel norm.

RemarkEdit

  is assumed to be zero.

External LinksEdit


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