LMIs in Control/Template

This methods uses LMI techniques iteratively to obtain the result.


The SystemEdit

Given a state-space representation of a system   and an initial estimate of reduced order model  .

 

Where   and  .

The DataEdit

The full order state matrices  .

The Optimization ProblemEdit

The objective of the optimization is to reduce the   norm .

The LMI: The Lyapunov InequalityEdit

Objective:  .

Subject to::  

 

Conclusion:Edit

The LMI techniques results in model reduction close to the theoretical bounds.


External LinksEdit

A list of references documenting and validating the LMI.


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