z-logo
Premium
Motion planning problem with obstacle avoidance for step‐2 bracket‐generating systems
Author(s) -
Grushkovskaya Victoria,
Zuyev Alexander
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710367
Subject(s) - obstacle , obstacle avoidance , bracket , collision avoidance , control theory (sociology) , motion planning , state (computer science) , motion (physics) , control (management) , motion control , mathematics , computer science , mathematical optimization , collision , algorithm , engineering , artificial intelligence , mobile robot , robot , computer security , political science , law , mechanical engineering
This paper considers the obstacle avoidance problem for control‐linear systems satisfying the Hörmander condition with the first‐order Lie brackets. To solve the problem under consideration, we use a family of oscillating periodic control functions with state‐dependent coefficients. The proposed approach is shown to be applicable for different shapes of obstacles and various potential functions generating collision‐free paths. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom