An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)

An approach to controlling the three-link Robogymnast robotic gymnast and assessing stability is proposed and examined. In the study, a conventionally configured linear quadratic regulator is applied and compared with a fuzzy logic linear quadratic regulator hybrid approach for stabilising the Robog...

Full description

Bibliographic Details
Main Authors: Bdereddin Abdul samad, Mahmoud Mohamed, Fatih Anayi, Yevgen Melikhov
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Knowledge
Subjects:
Online Access:https://www.mdpi.com/2673-9585/2/3/28
_version_ 1827644333185040384
author Bdereddin Abdul samad
Mahmoud Mohamed
Fatih Anayi
Yevgen Melikhov
author_facet Bdereddin Abdul samad
Mahmoud Mohamed
Fatih Anayi
Yevgen Melikhov
author_sort Bdereddin Abdul samad
collection DOAJ
description An approach to controlling the three-link Robogymnast robotic gymnast and assessing stability is proposed and examined. In the study, a conventionally configured linear quadratic regulator is applied and compared with a fuzzy logic linear quadratic regulator hybrid approach for stabilising the Robogymnast. The Robogymnast is designed to replicate the movement of a human as they hang with both hands holding the high bar and then work to wing up into a handstand, still gripping the bar. The system, therefore has a securely attached link between the hand element and the ‘high bar’, which is mounted on ball bearings and can rotate freely. Moreover, in the study, a mathematical model for the system is linearised, investigating the means of determining the state space in the system by applying Lagrange’s equation. The fuzzy logic linear quadratic regulator controller is used to identify how far the system responses stabilise when it is implemented. This paper investigates factors affecting the control of swing-up in the underactuated three-link Robogymnast. Moreover, a system simulation using MATLAB Simulink is conducted to show the impact of factors including overshoot, rising, and settling time. The principal objective of the study lies in investigating how a linear quadratic regulator or fuzzy logic controller with a linear quadratic regulator (FLQR) can be applied to the Robogymnast, and to assess system behaviour under five scenarios, namely the original value, this value plus or minus ±25%, and plus or minus ±50%. In order to further assess the performance of the controllers used, a comparison is made between the outcomes found here and findings in the recent literature with fuzzy linear quadratic regulator controllers.
first_indexed 2024-03-09T18:14:20Z
format Article
id doaj.art-ffeb341e12fa4690acd5c0cf6bda5805
institution Directory Open Access Journal
issn 2673-9585
language English
last_indexed 2024-03-09T18:14:20Z
publishDate 2022-09-01
publisher MDPI AG
record_format Article
series Knowledge
spelling doaj.art-ffeb341e12fa4690acd5c0cf6bda58052023-11-24T08:55:15ZengMDPI AGKnowledge2673-95852022-09-012346548610.3390/knowledge2030028An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)Bdereddin Abdul samad0Mahmoud Mohamed1Fatih Anayi2Yevgen Melikhov3Wolfson Centre for Magnetics, School of Engineering, Cardiff University, Cardiff CF24 3AA, UKWolfson Centre for Magnetics, School of Engineering, Cardiff University, Cardiff CF24 3AA, UKWolfson Centre for Magnetics, School of Engineering, Cardiff University, Cardiff CF24 3AA, UKWolfson Centre for Magnetics, School of Engineering, Cardiff University, Cardiff CF24 3AA, UKAn approach to controlling the three-link Robogymnast robotic gymnast and assessing stability is proposed and examined. In the study, a conventionally configured linear quadratic regulator is applied and compared with a fuzzy logic linear quadratic regulator hybrid approach for stabilising the Robogymnast. The Robogymnast is designed to replicate the movement of a human as they hang with both hands holding the high bar and then work to wing up into a handstand, still gripping the bar. The system, therefore has a securely attached link between the hand element and the ‘high bar’, which is mounted on ball bearings and can rotate freely. Moreover, in the study, a mathematical model for the system is linearised, investigating the means of determining the state space in the system by applying Lagrange’s equation. The fuzzy logic linear quadratic regulator controller is used to identify how far the system responses stabilise when it is implemented. This paper investigates factors affecting the control of swing-up in the underactuated three-link Robogymnast. Moreover, a system simulation using MATLAB Simulink is conducted to show the impact of factors including overshoot, rising, and settling time. The principal objective of the study lies in investigating how a linear quadratic regulator or fuzzy logic controller with a linear quadratic regulator (FLQR) can be applied to the Robogymnast, and to assess system behaviour under five scenarios, namely the original value, this value plus or minus ±25%, and plus or minus ±50%. In order to further assess the performance of the controllers used, a comparison is made between the outcomes found here and findings in the recent literature with fuzzy linear quadratic regulator controllers.https://www.mdpi.com/2673-9585/2/3/28RobogymnastLQRfuzzy logic(FLQR)swing-upmulti-link robotics
spellingShingle Bdereddin Abdul samad
Mahmoud Mohamed
Fatih Anayi
Yevgen Melikhov
An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
Knowledge
Robogymnast
LQR
fuzzy logic
(FLQR)
swing-up
multi-link robotics
title An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
title_full An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
title_fullStr An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
title_full_unstemmed An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
title_short An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)
title_sort investigation of various controller designs for multi link robotic system robogymnast
topic Robogymnast
LQR
fuzzy logic
(FLQR)
swing-up
multi-link robotics
url https://www.mdpi.com/2673-9585/2/3/28
work_keys_str_mv AT bdereddinabdulsamad aninvestigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT mahmoudmohamed aninvestigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT fatihanayi aninvestigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT yevgenmelikhov aninvestigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT bdereddinabdulsamad investigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT mahmoudmohamed investigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT fatihanayi investigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast
AT yevgenmelikhov investigationofvariouscontrollerdesignsformultilinkroboticsystemrobogymnast