LMIs in Control/Click here to continue/LMIs in system and stability Theory/H infinity Norm for Affine Parametric Varying Systems

From Wikibooks, open books for an open world
Jump to navigation Jump to search

The System[edit | edit source]

where and depend affinity 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/5462bc1dc441bc298d50a2c35075e9466eba8355

Conclusion[edit | edit source]

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

Remark[edit | edit source]

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 Links[edit | edit source]


Return to Main Page:[edit | edit source]