Intelligent analysis of chaos roughness in regularity of walk for a two legged robot

Date

2006-07-01

Author

Kaygisiz, BH
Erkmen, İsmet
Erkmen, Aydan Müşerref

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We describe in this paper a new approach to the identification of the chaotic boundaries of regular (periodic and quasiperiodic) regions in nonlinear systems, using cell mapping equipped with measures of fractal dimension and rough sets. The proposed fractal-rough set approach considers a state space divided into cells where cell trajectories are determined using cell to cell mapping technique. All image cells in the state space, equipped with their individual fractal dimension are then classified as being members of lower approximation, upper approximation or boundary region of regular regions with the help of rough set theory. The rough set with fractal dimension as its attribute is used to model the uncertainty of the regular regions, treated as sets of cells in this paper. This uncertainty is then smoothed by a reinforcement learning algorithm in order to enrich regular regions that are used for control. Our approach is applied to the walking control of a two legged robot, which fails very frequently due to chaotic behavior.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/49024

Journal

CHAOS SOLITONS & FRACTALS

DOI

https://doi.org/10.1016/j.chaos.2005.08.047

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

B. Kaygisiz, İ. Erkmen, and A. M. Erkmen, “Intelligent analysis of chaos roughness in regularity of walk for a two legged robot,” CHAOS SOLITONS & FRACTALS, pp. 148–161, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49024.