fuzzy and ode system

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fateme zrbd
fateme zrbd on 2 Aug 2022
Commented: Sam Chak on 3 Aug 2022
I have a system of ordinary differential equations (ODE) with some parameters (coefficients). I want to make fuzzy some of these coefficients.
What is the best way to do this in MATLAB?
fateme zrbd
fateme zrbd on 3 Aug 2022

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Accepted Answer

Sam Chak
Sam Chak on 2 Aug 2022
Say the ODE is given by
where A and B are the coefficients of the state x and the input u, respectively.
From your description of the problem, if you want to fuzzifyA and B, perhaps you want to look up for the Takagi–Sugeno Fuzzy modeling approach.
Sam Chak
Sam Chak on 3 Aug 2022
You are welcome, @fateme zrbd. For a deeper treatment of the topic, considering reading "Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach" by Kazuo Tanaka, and Hua O. Wang.
If you like my suggestions, please consider accepting ✔ and voting 👍 the Answer as a closure. Thanks!

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