Decentralized sliding-mode control of robotic manipulator with constraint workspace: A finite-convergent barrier Lyapunov approach

David Cruz-Ortiz, Isaac Chairez, Vadim I. Utkin, Alexander Poznyak

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

The aim of this manuscript is to develop a robust output-based controller for a robot manipulator (RM), under the presence of state constraints. A novel methodology is proposed to solve the tracking trajectory problem between the joints position of a RM and desired reference trajectories, using a barrier sliding mode (BSM) control. The controller design guarantees the tracking trajectory and the fulfillment of the state constraints considering the presence of perturbations. In this study, it is considered that only the angular position of each RM articulation is available. A decentralized adaptive super-twisting algorithm estimates the angular velocity of the corresponding RM. A class of barrier Lyapunov function (BLF) is used to analyze the finite-time stability of the sliding surface in a closed-loop with the proposed controller. An example of a numerical evaluation considering a two-link RM illustrates the advantages obtained with the proposed methodology compared to the non-barrier control design.

Original languageEnglish
Title of host publication2019 16th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728148403
DOIs
StatePublished - Sep 2019
Event16th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2019 - Mexico City, Mexico
Duration: 11 Sep 201913 Sep 2019

Publication series

Name2019 16th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2019

Conference

Conference16th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2019
Country/TerritoryMexico
CityMexico City
Period11/09/1913/09/19

Keywords

  • Constrained Systems
  • Robot Manipulator
  • Sliding Modes

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