Dear Ila Rai,

I suggest you to see links and attached file on topic.

https://www.mathworks.com/help/robust/ug/specify-lmis-with-the-lmi-editor-gui.html

https://ww2.mathworks.cn/help/robust/ug/introduction.html

https://fres-news.com/?p=gbtdayrtgm5gi3bpgm3dk

https://www.mathworks.com/help/robust/ug/advanced-topics.html

Best regards

linear matrix inequality

https://fr.mathworks.com/help/robust/linear-matrix-inequalities.html

Dear Ila,

Please check this link: https://fr.mathworks.com/help/robust/linear-matrix-inequalities.html.

Try to tape help LMI on the command window, it is to simple.

I think that your question is how to call the obtained gain by the LMI into a simulink programme. For that, in the .m file that solves the LMI define the controller gain as a global variable by using the santax "global K" at the beginning of the script. Note that, at the end of your script the gain matrix "K" should be a real matrix and not a sdpvar or a LMI variable. In such a case you have to convert your gain using either value(K) for sdp programming or dec2mat(K) for LMI toolbox. By doing so, go to your simulink programme which should be in the same directory of your matlab script and call your gain "K".

https://fr.mathworks.com/help/robust/lmis.html