LMI-based state feedback controller design for vibration control of a negative imaginary system

This paper presents state feedback control via linear matrix inequality (LMI) for vibration control of a flexible link manipulator (FLM) system. FLM is a negative imaginary (NI) system with high amplitude vibration and oscillation. In this work, pole placement controller (PPC) which is NI controller...

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Main Authors:	Abdullah, Auwalu M., Mohamed, Z., Zainal Abidin, M.S., Akmeliawati, Rini, Husain, A.R., Bature, Amir A.
Format:	Conference or Workshop Item
Language:	English English English
Published:	IEEE 2015
Subjects:	T Technology (General)
Online Access:	http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/1/50634-LMI-based_state_feedback_controller_design_for_vibration_control_of_a_negative_imaginary_system_Fullpaper.pdf http://irep.iium.edu.my/50634/3/ASCC-organizer.pdf http://irep.iium.edu.my/50634/7/50634_LMI-based%20state%20feedback%20controller%20design_Scopus.pdf

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recordtype	eprints
spelling	iium-506342017-05-08T00:48:57Z http://irep.iium.edu.my/50634/ LMI-based state feedback controller design for vibration control of a negative imaginary system Abdullah, Auwalu M. Mohamed, Z. Zainal Abidin, M.S. Akmeliawati, Rini Husain, A.R. Bature, Amir A. T Technology (General) This paper presents state feedback control via linear matrix inequality (LMI) for vibration control of a flexible link manipulator (FLM) system. FLM is a negative imaginary (NI) system with high amplitude vibration and oscillation. In this work, pole placement controller (PPC) which is NI controller is used to control the FLM vibration, to achieve a precise hub angle positioning with minimum tip deflection. A decay rate is introduced to improve the speed of the system and investigate the effect on the system performance. LMI optimization technique is used to obtain the optimal and best control gains of PPC using Matlab LMI toolbox with different values of the decay rate. Simulation results show that satisfactory hub angle and tip deflection responses are achieved using the proposed controller. Damping is successfully added into the system and reduces the system vibration at the first two vibration modes by 40 dB. Hub angle positioning is achieved with minimum tip deflection by changing the value of decay rate. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/50634/1/50634-LMI-based_state_feedback_controller_design_for_vibration_control_of_a_negative_imaginary_system_Fullpaper.pdf application/pdf en http://irep.iium.edu.my/50634/3/ASCC-organizer.pdf application/pdf en http://irep.iium.edu.my/50634/7/50634_LMI-based%20state%20feedback%20controller%20design_Scopus.pdf Abdullah, Auwalu M. and Mohamed, Z. and Zainal Abidin, M.S. and Akmeliawati, Rini and Husain, A.R. and Bature, Amir A. (2015) LMI-based state feedback controller design for vibration control of a negative imaginary system. In: 2015 10th Asian Control Conference (ASCC 2015), 31st May- 3rd June 2015, Kota Kinabalu, Sabah. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7244798 10.1109/ASCC.2015.7244798
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	T Technology (General)
spellingShingle	T Technology (General) Abdullah, Auwalu M. Mohamed, Z. Zainal Abidin, M.S. Akmeliawati, Rini Husain, A.R. Bature, Amir A. LMI-based state feedback controller design for vibration control of a negative imaginary system
description	This paper presents state feedback control via linear matrix inequality (LMI) for vibration control of a flexible link manipulator (FLM) system. FLM is a negative imaginary (NI) system with high amplitude vibration and oscillation. In this work, pole placement controller (PPC) which is NI controller is used to control the FLM vibration, to achieve a precise hub angle positioning with minimum tip deflection. A decay rate is introduced to improve the speed of the system and investigate the effect on the system performance. LMI optimization technique is used to obtain the optimal and best control gains of PPC using Matlab LMI toolbox with different values of the decay rate. Simulation results show that satisfactory hub angle and tip deflection responses are achieved using the proposed controller. Damping is successfully added into the system and reduces the system vibration at the first two vibration modes by 40 dB. Hub angle positioning is achieved with minimum tip deflection by changing the value of decay rate.
format	Conference or Workshop Item
author	Abdullah, Auwalu M. Mohamed, Z. Zainal Abidin, M.S. Akmeliawati, Rini Husain, A.R. Bature, Amir A.
author_facet	Abdullah, Auwalu M. Mohamed, Z. Zainal Abidin, M.S. Akmeliawati, Rini Husain, A.R. Bature, Amir A.
author_sort	Abdullah, Auwalu M.
title	LMI-based state feedback controller design for vibration control of a negative imaginary system
title_short	LMI-based state feedback controller design for vibration control of a negative imaginary system
title_full	LMI-based state feedback controller design for vibration control of a negative imaginary system
title_fullStr	LMI-based state feedback controller design for vibration control of a negative imaginary system
title_full_unstemmed	LMI-based state feedback controller design for vibration control of a negative imaginary system
title_sort	lmi-based state feedback controller design for vibration control of a negative imaginary system
publisher	IEEE
publishDate	2015
url	http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/ http://irep.iium.edu.my/50634/1/50634-LMI-based_state_feedback_controller_design_for_vibration_control_of_a_negative_imaginary_system_Fullpaper.pdf http://irep.iium.edu.my/50634/3/ASCC-organizer.pdf http://irep.iium.edu.my/50634/7/50634_LMI-based%20state%20feedback%20controller%20design_Scopus.pdf
first_indexed	2023-09-18T21:11:34Z
last_indexed	2023-09-18T21:11:34Z
_version_	1777411287769153536

LMI-based state feedback controller design for vibration control of a negative imaginary system

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