A robot control architecture supported on contraction theory

This paper proposes fundamentals for stability and success of a global system composed by a mobile robot, a real environment and a navigation architecture with time constraints. Contraction theory is a typical framework that provides tools and properties to prove the stability and convergence of the...

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Bibliographic Details
Main Author: Silva, Jorge (author)
Other Authors: Sequeira, João (author), Santos, Cristina (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/1822/52025
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/52025
Description
Summary:This paper proposes fundamentals for stability and success of a global system composed by a mobile robot, a real environment and a navigation architecture with time constraints. Contraction theory is a typical framework that provides tools and properties to prove the stability and convergence of the global system to a unique fixed point that identifies the mission success. A stability indicator based on the combination contraction property is developed to identify the mission success as a stability measure. The architecture is fully designed through C-1 nonlinear dynamical systems and feedthrough maps, which makes it amenable for contraction analysis. Experiments in a realistic and uncontrolled environment are realised to verify if inherent perturbations of the sensory information and of the environment affect the stability and success of the global system.