Abstract
This study aims to create a fuzzy optimal control system for a singular fuzzy fractional quadratic regulator problem, which is governed by singular fuzzy fractional differential equations. Additionally, this paper introduces new terms such as fuzzy stability, asymptotic stability, stabilizability, and detectability in the context of singular fractional control systems. Theoretical concepts regarding the stabilizability and detectability of these systems are also outlined, as well as a theorem and related algorithm for determining the fuzzy optimal control and trajectory of the singular fuzzy fractional quadratic regulator problem. The proposed method is tested through simulation on an electrical circuit modeled as a singular fuzzy fractional system, with results demonstrating the efficacy of the approach.
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