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LMIs in Control/Template
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
This methods uses LMI techniques iteratively to obtain the result.
The System
Given a state-space representation of a system and an initial estimate of reduced order model .
Where and .
The Data
The full order state matrices .
The Optimization Problem
The objective of the optimization is to reduce the norm .
The LMI: The Lyapunov Inequality
Objective: .
Subject to::
Conclusion:
The LMI techniques results in model reduction close to the theoretical bounds.
External Links
A list of references documenting and validating the LMI.
LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet.
LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.
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