LMIs in Control/Template

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This methods uses LMI techniques iteratively to obtain the result.

The System[edit | edit source]

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

Where and .

The Data[edit | edit source]

The full order state matrices .

The Optimization Problem[edit | edit source]

The objective of the optimization is to reduce the norm .

The LMI: The Lyapunov Inequality[edit | edit source]

Objective: .

Subject to::

Conclusion:[edit | edit source]

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

External Links[edit | edit source]

A list of references documenting and validating the LMI.

Return to Main Page:[edit | edit source]