We can derive the robust control problem by matrix inequalities to LMIs or use Riccati based iterative algorithms.
What's the advantages of the Riccati iterative methods such Kleinman algorithm compared with LMI ?
ِDear Soroush
It seems that calculation and getting the solution in the Riccati method is easier than the LMI method.
The solution of Riccati method is very simple and well understood (Simply reduces to a few repetitive algebraic equations), but the LMI solution usually requires more complex computing, so its relationships need be resolved with the computer. Of course, it can sometimes be converted to Riccati method or linear programming.
Regards
Dear Soroush,
Concerning this question it must be said that opinions are often contradictory, to do this an idea on the subject I suggest you to see links on topic.
Iterative Solution of Algebraic Riccati Equations for Damped Systems
ftp://ftp.math.ucla.edu/pub/camreport/cam06-63.pdf
Accelerated LMI solvers for the maximal solution to a set of ...
https://www.researchgate.net/.../266916560_Accelerated_LMI_sol...
Streamlining the state-dependent Riccati Equation controller algorithm
https://dl.acm.org/citation.cfm?id=1687842
SDP-based approximation of stabilising solutions for periodic matrix ...
www.tandfonline.com/doi/full/10.../00207179.2015.1131850?...
riccati: Topics by Science.gov
https://www.science.gov/topicpages/r/riccati+
Best regards
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