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Proper gain of 2nd sliding mode observer

Proper gain of 2nd sliding mode observer

Proper gain of 2nd sliding mode observer

(OP)
Hi,
I have developed an obser for a nonlinear plant with two measureable output. and some unknown variations. By transformation of states and making an observer and converting the states to the original ones following system is obtained. where I used super twisting observer to observe the states. Now I have the observer set up but I can't find a gain that actually minimizes the error in all four states. The observer reads all four states that are in the plant.


I hert that once can use the lyapunov condition to find the proper gain but how is it done in simulink? is it any way I can use tools in simulink matlab or anything else? if you are interested in how these stuff are obtained I can send you an email if you just leave your email for me. However I attached some of my notations for you to understand what I'm doing. I would appritiate any help . Ive been struggling with this in a sleepless week. Thank you in advance

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