2014
DOI: 10.1093/ptep/ptu034
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Extended phase space description of human-controlled systems dynamics

Abstract: Humans are often incapable of precisely identifying and implementing the desired control strategy in controlling unstable dynamical systems. That is, the operator of a dynamical system treats the current control effort as acceptable even if it deviates slightly from the desired value, and starts correcting the actions only when the deviation has become evident. We argue that the standard Newtonian approach does not allow to model such behavior. Instead, the physical phase space of a controlled system should be… Show more

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Cited by 14 publications
(9 citation statements)
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“…However, y is actually controlled by the human operator, so it possesses its own, complex dynamics. To be able to capture this dynamics, we extend the physical phase space of the overdamped stick by a separate phase variable characterizing the actions of the operator [28]. We thus have to specify the governing equation for the cart's velocity y.…”
Section: Model Constructionmentioning
confidence: 99%
“…However, y is actually controlled by the human operator, so it possesses its own, complex dynamics. To be able to capture this dynamics, we extend the physical phase space of the overdamped stick by a separate phase variable characterizing the actions of the operator [28]. We thus have to specify the governing equation for the cart's velocity y.…”
Section: Model Constructionmentioning
confidence: 99%
“…Equations (1) and (2) The last equation (4) describes the driver behavior. It combines the basic ideas of noise-driven activation in human intermittent control [12] and the concept of action dynamical traps for systems with inertia [26]. The driver is able to control directly only the position θ of the control unit and the difference (θ − a) between the desired acceleration θ and the current car acceleration a is the parameter quantifying the difference between his active and passive behavior.…”
Section: Four-variable Model Of Car-followingmentioning
confidence: 99%
“…However, υ is actually controlled by the human operator, so it possesses its own, complex dynamics. To be able to capture this dynamics, we extend the physical phase space of the overdamped stick by a separate phase variable characterizing the actions of the operator [28]. We thus have to specify the governing equation for the cart velocity υ.…”
Section: Modelmentioning
confidence: 99%