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 Human Fuzzy Control: Action Dynamical Trap Model

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We develop a mathematical description of human fuzzy rationality. Human operators controlling dynamical systems are often incapable of precisely identifying and implementing the desired control strategy. The operator of a dynamical system treats the current value of the control effort as acceptable if it deviates insignificantly from the desired, or optimal value. The operator starts correcting the actions only when she identifies that this deviation has become considerably large. We propose a non-Newtonian model capturing the operator fuzzy perception of her own actions based on the previously introduced dynamical trap concept. It deals with the physical phase space of a controlled system extended with an independent phase variable characterizing the operator motivated actions. The properties of the model are illustrated via the simple example of an oscillator with action dynamical trap.

Autor: Arkady Zgonnikov; Ihor Lubashevsky


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