Adaptive Controller Based on Barrier Lyapunov Function for a Composite Cartesian-Delta Robotic Device for Precise Time-Varying Position Tracking

Jazmin Mendoza Bautista, L. Abril Torres-Mendez, Isaac Chairez

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

Abstract

This paper describes the design of an adaptive controller based on a barrier Lyapunov function (CBLF) that solves the trajectory tracking problem of a hybrid robotic structure with an event-driven regulator. The selected robot is a fully actuated Cartesian-delta device composed of 5 Degrees of Freedom (DoFs); the first 2 DoFs correspond to the Cartesian robot, and the last 3 DoFs for the delta device. This adaptive controller considers the state restrictions for the end-effector position and the set of joints. The activation function of the adaptive event-driven controller is defined according to a convergence quality indicator, and its adjustment laws for the control gains were derived using a control barrier Lyapunov function. An experimental test is presented to prove the algorithm performance. The robot tracked the reference trajectories considering that the robot works in two stages; one for the serial and the other for the parallel one. The adaptive scheme a better performance than the proportional- integral-derivative (PID) control.

Original languageEnglish
Title of host publication2022 10th International Conference on Control, Mechatronics and Automation, ICCMA 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-6
Number of pages6
ISBN (Electronic)9781665490481
DOIs
StatePublished - 2022
Externally publishedYes
Event10th International Conference on Control, Mechatronics and Automation, ICCMA 2022 - Luxembourg, Luxembourg
Duration: 9 Nov 202212 Nov 2022

Publication series

Name2022 10th International Conference on Control, Mechatronics and Automation, ICCMA 2022

Conference

Conference10th International Conference on Control, Mechatronics and Automation, ICCMA 2022
Country/TerritoryLuxembourg
CityLuxembourg
Period9/11/2212/11/22

Keywords

  • adaptive control
  • barrier lyapunov function
  • event-driver regulators
  • hybrid robots
  • position control

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