Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology

A Master of Science thesis in Mechatronics Engineering by Irfan Ullah Khan entitled, "Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology," submitted in October 2013. Thesis advisor is Dr. Rached Dhaouadi. Available are both soft and hard copies of the th...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Khan, Irfan Ullah (author)
التنسيق: doctoralThesis
منشور في: 2013
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/11073/5965
الوسوم: إضافة وسم
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author Khan, Irfan Ullah
author_facet Khan, Irfan Ullah
author_role author
dc.contributor.none.fl_str_mv Dhaouadi, Rached
dc.creator.none.fl_str_mv Khan, Irfan Ullah
dc.date.none.fl_str_mv 2013-11-18T11:37:28Z
2013-11-18T11:37:28Z
2013-10
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv 35.232-2013.41
http://hdl.handle.net/11073/5965
dc.language.none.fl_str_mv en_US
dc.subject.none.fl_str_mv elastic drive system
immersion and invariance
invariant manifold
two mass model
nonlinear observer
vibration suppression
Mechatronics
dc.title.none.fl_str_mv Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/doctoralThesis
description A Master of Science thesis in Mechatronics Engineering by Irfan Ullah Khan entitled, "Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology," submitted in October 2013. Thesis advisor is Dr. Rached Dhaouadi. Available are both soft and hard copies of the thesis.
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spelling Robust Control of Elastic Drive Systems Using The Immersion and Invariance MethodologyKhan, Irfan Ullahelastic drive systemimmersion and invarianceinvariant manifoldtwo mass modelnonlinear observervibration suppressionMechatronicsA Master of Science thesis in Mechatronics Engineering by Irfan Ullah Khan entitled, "Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology," submitted in October 2013. Thesis advisor is Dr. Rached Dhaouadi. Available are both soft and hard copies of the thesis.This thesis is divided into three main parts. The first part presents a new robust control methodology to suppress the torsional vibrations in flexible drive systems. The position control of a nonlinear Two-Mass-Model system (2MM) is designed using the immersion and invariance approach. First, appropriate mapping functions are derived to convert the total nonlinear 2MM system into an equivalent reduced order system with rigid dynamics. This reduced order system is used as a target system to design a position controller, which is based on the standard PI type control technique. Next through immersion and invariance, the reduced order controller is applied to the nonlinear 2MM system to suppress the torsional vibrations and yield an over-damped response similar to the target system. The control law derivation and stability analysis of the target system are described and discussed. Simulation and experiments using a 2MM drive system are used to validate the proposed control methodology. The second part of the thesis presents the design of a nonlinear reduced order observer to estimate the load side position and load side speed of an elastic drive system. A reduced order observer is designed using the notion of invariant manifold. First, a manifold is defined in terms of the error dynamics, and then mapping functions are chosen in such a way that the error dynamics become asymptotically stable at the origin. Asymptotic stability of the error dynamics at the origin is proved. Simulation and experimental results are shown to validate the proposed methodology. Then the observer is combined with an I&I position controller and the results are validated through simulations and real time experiments. In the third part of this thesis, the input/output feedback linearization technique is explained and implemented on the same system. External and internal dynamics are derived for the 2MM. Feedback linearization gains are designed for external linear dynamics. The stability of the zero dynamics is also derived. Then, the I&I methodology, input/output feedback linearization, and PID position controllers are compared on the basis of their transient step response and robustness to external disturbance and parameter variations.College of EngineeringMultidisciplinary ProgramsMaster of Science in Mechatronics Engineering (MSMTR)Dhaouadi, Rached2013-11-18T11:37:28Z2013-11-18T11:37:28Z2013-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf35.232-2013.41http://hdl.handle.net/11073/5965en_USoai:repository.aus.edu:11073/59652025-06-26T12:34:34Z
spellingShingle Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
Khan, Irfan Ullah
elastic drive system
immersion and invariance
invariant manifold
two mass model
nonlinear observer
vibration suppression
Mechatronics
status_str publishedVersion
title Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
title_full Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
title_fullStr Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
title_full_unstemmed Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
title_short Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
title_sort Robust Control of Elastic Drive Systems Using The Immersion and Invariance Methodology
topic elastic drive system
immersion and invariance
invariant manifold
two mass model
nonlinear observer
vibration suppression
Mechatronics
url http://hdl.handle.net/11073/5965