Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator

This paper proposes a gain scheduling linear quadratic integral (LQI) servo controller design, which is derived from linear quadratic regulator (LQR) optimal control, for non-singular linear parameter varying (LPV) descriptor systems. It is assumed that state space matrices are non-singular since ma...

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Main Author: Yusuf Altun
Format: Article
Language:English
Published: Balikesir University 2018-04-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://ijocta.org/index.php/files/article/view/564
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author Yusuf Altun
author_facet Yusuf Altun
author_sort Yusuf Altun
collection DOAJ
description This paper proposes a gain scheduling linear quadratic integral (LQI) servo controller design, which is derived from linear quadratic regulator (LQR) optimal control, for non-singular linear parameter varying (LPV) descriptor systems. It is assumed that state space matrices are non-singular since many mechanical systems do not have any non-singular matrices such as the natural state space forms of robotic manipulator, pendulum and suspension systems. A controller design is difficult for the systems due to rational LPV case. Therefore, the proposed gain scheduling controller is designed without the difficulty. Accordingly, the motion control design is implemented for two-link flexible joint robotic manipulator. Finally, the control system simulation is performed to prove the applicability and performance.
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spelling doaj.art-64e019677f0647419425583ddfe7924f2023-02-15T16:10:10ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032018-04-018210.11121/ijocta.01.2018.00564Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulatorYusuf Altun0Duzce University, Engineering Faculty, Computer Engineering DepartmentThis paper proposes a gain scheduling linear quadratic integral (LQI) servo controller design, which is derived from linear quadratic regulator (LQR) optimal control, for non-singular linear parameter varying (LPV) descriptor systems. It is assumed that state space matrices are non-singular since many mechanical systems do not have any non-singular matrices such as the natural state space forms of robotic manipulator, pendulum and suspension systems. A controller design is difficult for the systems due to rational LPV case. Therefore, the proposed gain scheduling controller is designed without the difficulty. Accordingly, the motion control design is implemented for two-link flexible joint robotic manipulator. Finally, the control system simulation is performed to prove the applicability and performance.http://ijocta.org/index.php/files/article/view/564Robotic manipulator Gain scheduling LQR controller Descriptor system
spellingShingle Yusuf Altun
Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
An International Journal of Optimization and Control: Theories & Applications
Robotic manipulator Gain scheduling LQR controller Descriptor system
title Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
title_full Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
title_fullStr Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
title_full_unstemmed Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
title_short Gain scheduling LQI controller design for LPV descriptor systems and motion control of two-link flexible joint robot manipulator
title_sort gain scheduling lqi controller design for lpv descriptor systems and motion control of two link flexible joint robot manipulator
topic Robotic manipulator Gain scheduling LQR controller Descriptor system
url http://ijocta.org/index.php/files/article/view/564
work_keys_str_mv AT yusufaltun gainschedulinglqicontrollerdesignforlpvdescriptorsystemsandmotioncontroloftwolinkflexiblejointrobotmanipulator