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LMIs in Control/pages/H infinity Norm for Affine Parametric Varying Systems
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The System
where and
depend affinity on parameter .
The Data
The matrices .
The Optimization Problem:
Solve the following semi-definite program
Implementation
https://github.com/mkhajenejad/Mohammad-Khajenejad/commit/5462bc1dc441bc298d50a2c35075e9466eba8355
Conclusion
The value function of the above semi-definite program returns the norm of the system.
Remark
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
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.
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