LMIs in Control/pages/H infinity Norm for Affine Parametric Varying Systems

The SystemEdit

 

where   and   depend affinity on parameter  .

The DataEdit

The matrices  .

The Optimization Problem:Edit

Solve the following semi-definite program

 

ImplementationEdit

https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/5462bc1dc441bc298d50a2c35075e9466eba8355

ConclusionEdit

The value function of the above semi-definite program returns the   norm of the system.

RemarkEdit

It is assumed that   is stable and   is controllable and the semi-infinite convex constraint   for all  , is converted into a finite-dimensional convex LMI.

External LinksEdit


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