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An Optimal Control Model of Mouse Pointing Using the LQR

Title data

Fischer, Florian ; Fleig, Arthur ; Klar, Markus ; Grüne, Lars ; Müller, Jörg:
An Optimal Control Model of Mouse Pointing Using the LQR.
Bayreuth , 2020

Official URL: Volltext

Abstract in another language

In this paper we explore the Linear-Quadratic Regulator (LQR) to model movement of the mouse pointer. We propose a model in which users are assumed to behave optimally with respect to a certain cost function. Users try to minimize the distance of the mouse pointer to the target smoothly and with minimal effort, by simultaneously minimizing the jerk of the movement. We identify parameters of our model from a dataset of reciprocal pointing with the mouse. We compare our model to the classical minimum-jerk and second-order lag models on data from 12 users with a total of 7702 movements. Our results show that our approach explains the data significantly better than either of these previous models.

Further data

Item Type: Preprint, postprint
Refereed: No
Additional notes: arXiv 2002.11596
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Computer Science > Chair Applied Computer Science VIII > Chair Applied Computer Science VIII - Univ.-Prof. Dr. Jörg Müller
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Computer Science > Chair Applied Computer Science VIII
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works
Date Deposited: 06 Apr 2020 09:02
Last Modified: 09 Apr 2020 10:27
URI: https://eref.uni-bayreuth.de/id/eprint/54834