New variants of fuzzy optimal control problems

Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems. We derive a generalized integration by parts formula and establish necessary and sufficient optimality conditions. Furthermore, we highlight the connections between classical and fuzzy control frameworks. The proposed methodology is validated through numerical examples, demonstrating its effectiveness and accuracy.