LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Continuous Time/Eigenvalue Problem
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LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Continuous Time/Eigenvalue Problem
The maximum eigenvalue of a matrix is going to have the most impact on system performance. This LMI allows for minimization of the maximum eigenvalue by minimizing .
The System[edit | edit source]
The Data[edit | edit source]
The matrices .
The Optimization Problem[edit | edit source]
The LMI:[edit | edit source]
Conclusion:[edit | edit source]
The eigenvalue problem can be utilized to minimize the maximum eigenvalue of a matrix that depends affinely on a variable.
Implementation[edit | edit source]
https://github.com/mcavorsi/LMI
Related LMIs[edit | edit source]
External Links[edit | edit source]
- 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.