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Nonlinear control for Two-Link flexible manipulator

Recently the use of robot manipulators has been increasing in many applications such as medical applications, automobile, construction, manufacturing, military, space, etc. However, current rigid manipulators have high inertia and use actuators with large energy consumption. Moreover, rigid manipula...

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Main Author: Shalaby, Mohamed
Format: Thesis
Published: AUC Knowledge Fountain 2018
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access_status_str Open Access
author Shalaby, Mohamed
author_browse Shalaby, Mohamed
author_facet Shalaby, Mohamed
author_sort Shalaby, Mohamed
collection Thesis
dc_rights_str_mv The author retains all rights with regard to copyright. The author certifies that written permission from the owner(s) of third-party copyrighted matter included in the thesis, dissertation, paper, or record of study has been obtained. The author further certifies that IRB approval has been obtained for this thesis, or that IRB approval is not necessary for this thesis. Insofar as this thesis, dissertation, paper, or record of study is an educational record as defined in the Family Educational Rights and Privacy Act (FERPA) (20 USC 1232g), the author has granted consent to disclosure of it to anyone who requests a copy.
description Recently the use of robot manipulators has been increasing in many applications such as medical applications, automobile, construction, manufacturing, military, space, etc. However, current rigid manipulators have high inertia and use actuators with large energy consumption. Moreover, rigid manipulators are slow and have low payload-to arm-mass ratios because link deformation is not allowed. The main advantages of flexible manipulators over rigid manipulators are light in weight, higher speed of operation, larger workspace, smaller actuator, lower energy consumption and lower cost. However, there is no adequate closed-form solutions exist for flexible manipulators. This is mainly because flexible dynamics are modeled with partial differential equations, which give rise to infinite dimensional dynamical systems that are, in general, not possible to represent exactly or efficiently on a computer which makes modeling a challenging task. In addition, if flexibility nature wasn't considered, there will be calculation errors in the calculated torque requirement for the motors and in the calculated position of the end-effecter. As for the control task, it is considered as a complex task since flexible manipulators are non-minimum phase system, under-actuated system and Multi-Input/Multi-Output (MIMO) nonlinear system. This thesis focuses on the development of dynamic formulation model and three control techniques aiming to achieve accurate position control and improving dynamic stability for Two-Link Flexible Manipulators (TLFMs). LQR controller is designed based on the linearized model of the TLFM; however, it is applied on both linearized and nonlinear models. In addition to LQR, Backstepping and Sliding mode controllers are designed as nonlinear control approaches and applied on both the nonlinear model of the TLFM and the physical system. The three developed control techniques are tested through simulation based on the developed dynamic formulation model using MATLAB/SIMULINK. Stability and performance analysis were conducted and tuned to obtain the best results. Then, the performance and stability results obtained through simulation are compared. Finally, the developed control techniques were implemented and analyzed on the 2-DOF Serial Flexible Link Robot experimental system from Quanser and the results are illustrated and compared with that obtained through simulation.
format Thesis
id oai:fount.aucegypt.edu:etds-1404
institution American University in Cairo (Egypt)
last_indexed 2026-06-10T12:35:41.195Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from AUC Knowledge Fountain — bepress
publishDate 2018
publishDateRange 2018
publishDateSort 2018
publisher AUC Knowledge Fountain
publisherStr AUC Knowledge Fountain
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source_str AUC Knowledge Fountain — bepress
spelling oai:fount.aucegypt.edu:etds-1404 Nonlinear control for Two-Link flexible manipulator Shalaby, Mohamed Recently the use of robot manipulators has been increasing in many applications such as medical applications, automobile, construction, manufacturing, military, space, etc. However, current rigid manipulators have high inertia and use actuators with large energy consumption. Moreover, rigid manipulators are slow and have low payload-to arm-mass ratios because link deformation is not allowed. The main advantages of flexible manipulators over rigid manipulators are light in weight, higher speed of operation, larger workspace, smaller actuator, lower energy consumption and lower cost. However, there is no adequate closed-form solutions exist for flexible manipulators. This is mainly because flexible dynamics are modeled with partial differential equations, which give rise to infinite dimensional dynamical systems that are, in general, not possible to represent exactly or efficiently on a computer which makes modeling a challenging task. In addition, if flexibility nature wasn't considered, there will be calculation errors in the calculated torque requirement for the motors and in the calculated position of the end-effecter. As for the control task, it is considered as a complex task since flexible manipulators are non-minimum phase system, under-actuated system and Multi-Input/Multi-Output (MIMO) nonlinear system. This thesis focuses on the development of dynamic formulation model and three control techniques aiming to achieve accurate position control and improving dynamic stability for Two-Link Flexible Manipulators (TLFMs). LQR controller is designed based on the linearized model of the TLFM; however, it is applied on both linearized and nonlinear models. In addition to LQR, Backstepping and Sliding mode controllers are designed as nonlinear control approaches and applied on both the nonlinear model of the TLFM and the physical system. The three developed control techniques are tested through simulation based on the developed dynamic formulation model using MATLAB/SIMULINK. Stability and performance analysis were conducted and tuned to obtain the best results. Then, the performance and stability results obtained through simulation are compared. Finally, the developed control techniques were implemented and analyzed on the 2-DOF Serial Flexible Link Robot experimental system from Quanser and the results are illustrated and compared with that obtained through simulation. 2018-02-01T08:00:00Z thesis application/pdf https://fount.aucegypt.edu/etds/405 https://fount.aucegypt.edu/context/etds/article/1404/viewcontent/Thesis_2c_20Mohamed_Shalaby_Final.pdf The author retains all rights with regard to copyright. The author certifies that written permission from the owner(s) of third-party copyrighted matter included in the thesis, dissertation, paper, or record of study has been obtained. The author further certifies that IRB approval has been obtained for this thesis, or that IRB approval is not necessary for this thesis. Insofar as this thesis, dissertation, paper, or record of study is an educational record as defined in the Family Educational Rights and Privacy Act (FERPA) (20 USC 1232g), the author has granted consent to disclosure of it to anyone who requests a copy. Theses and Dissertations AUC Knowledge Fountain Flexible Manipulators Nonlinear Control
spellingShingle Flexible Manipulators
Nonlinear Control
Shalaby, Mohamed
Nonlinear control for Two-Link flexible manipulator
title Nonlinear control for Two-Link flexible manipulator
title_full Nonlinear control for Two-Link flexible manipulator
title_fullStr Nonlinear control for Two-Link flexible manipulator
title_full_unstemmed Nonlinear control for Two-Link flexible manipulator
title_short Nonlinear control for Two-Link flexible manipulator
title_sort nonlinear control for two link flexible manipulator
topic Flexible Manipulators
Nonlinear Control
url https://fount.aucegypt.edu/etds/405
https://fount.aucegypt.edu/context/etds/article/1404/viewcontent/Thesis_2c_20Mohamed_Shalaby_Final.pdf
work_keys_str_mv AT shalabymohamed nonlinearcontrolfortwolinkflexiblemanipulator