LMIs in Control/pages/Mu Analysis

Mu Synthesis. The technique of synthesis extends the methods of synthesis to design a robust controller for an uncertain plant. You can perform synthesis on plants with parameter uncertainty, dynamic uncertainty, or both using the "musyn" command in MATLAB. analysis is an extremely powerful multivariable technique which has been applied to many problems in the almost every industry including Aerospace, process industry etc.


The System:Edit

Consider the continuous-time generalized LTI plant with minimal states-space realization

 

where it is assumed that   is Invertible.

The DataEdit

The matrices needed as inputs are only,   and  .


The LMI: - AnalysisEdit

The inequality   holds if and only if there exist   and  , where  , satisfying:

 

Conclusion:Edit

The inequality   holds for   where X satisfies the above Inequality.

ImplementationEdit

External linksEdit