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?
  3 Comments
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.
  2 Comments
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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