Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures

In the framework of disturbance rejection (DR) control, the paper proposes a generalized-disturbance rejection (GDR) control with proportional-integral (PI) observer for vibration suppression of smart structures under any unknown continuous disturbances. In the proposed GDR-PI control, a refined sta...

Full description

Saved in:
Bibliographic Details
Main Authors: Xiao-Yu Zhang, Run-Xiao Wang, Shun-Qi Zhang, Zhan-Xi Wang, Xian-Sheng Qin, Rüdiger Schmidt
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2018/1538936
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832559340220841984
author Xiao-Yu Zhang
Run-Xiao Wang
Shun-Qi Zhang
Zhan-Xi Wang
Xian-Sheng Qin
Rüdiger Schmidt
author_facet Xiao-Yu Zhang
Run-Xiao Wang
Shun-Qi Zhang
Zhan-Xi Wang
Xian-Sheng Qin
Rüdiger Schmidt
author_sort Xiao-Yu Zhang
collection DOAJ
description In the framework of disturbance rejection (DR) control, the paper proposes a generalized-disturbance rejection (GDR) control with proportional-integral (PI) observer for vibration suppression of smart structures under any unknown continuous disturbances. In the proposed GDR-PI control, a refined state space model is first constructed, and a generalized disturbance including the disturbance influence matrices, unknown physical disturbances, and state variables is defined. In the closed loop of GDR-PI control, physical disturbances can be counteracted indirectly by feeding back estimated generalized disturbances. By this means, the GDR-PI control remedies most of the defects in conventional DR control and has excellent performances especially in the following situations: (i) the disturbances are completely unknown; (ii) the number of sensor signals is less than the number of disturbances; (iii) the unknown disturbances vary fast. Finally, the GDR-PI control is validated and compared with H∞ state feedback control and conventional DR control available in the literature for vibration suppression of smart beams.
format Article
id doaj-art-3ae04d0a2d94477bb22aeec730904139
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-3ae04d0a2d94477bb22aeec7309041392025-02-03T01:30:16ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/15389361538936Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible StructuresXiao-Yu Zhang0Run-Xiao Wang1Shun-Qi Zhang2Zhan-Xi Wang3Xian-Sheng Qin4Rüdiger Schmidt5School of Mechanical Engineering, Northwestern Polytechnical University, West Youyi Street 127, Xi’an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, West Youyi Street 127, Xi’an 710072, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shangda Road 99, Shanghai 200444, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, West Youyi Street 127, Xi’an 710072, ChinaSchool of Mechanical Engineering, Northwestern Polytechnical University, West Youyi Street 127, Xi’an 710072, ChinaInstitute of Structural Mechanics and Lightweight Design, RWTH Aachen University, Wüllnerstraße 7, 52062 Aachen, GermanyIn the framework of disturbance rejection (DR) control, the paper proposes a generalized-disturbance rejection (GDR) control with proportional-integral (PI) observer for vibration suppression of smart structures under any unknown continuous disturbances. In the proposed GDR-PI control, a refined state space model is first constructed, and a generalized disturbance including the disturbance influence matrices, unknown physical disturbances, and state variables is defined. In the closed loop of GDR-PI control, physical disturbances can be counteracted indirectly by feeding back estimated generalized disturbances. By this means, the GDR-PI control remedies most of the defects in conventional DR control and has excellent performances especially in the following situations: (i) the disturbances are completely unknown; (ii) the number of sensor signals is less than the number of disturbances; (iii) the unknown disturbances vary fast. Finally, the GDR-PI control is validated and compared with H∞ state feedback control and conventional DR control available in the literature for vibration suppression of smart beams.http://dx.doi.org/10.1155/2018/1538936
spellingShingle Xiao-Yu Zhang
Run-Xiao Wang
Shun-Qi Zhang
Zhan-Xi Wang
Xian-Sheng Qin
Rüdiger Schmidt
Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
Shock and Vibration
title Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
title_full Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
title_fullStr Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
title_full_unstemmed Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
title_short Generalized-Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures
title_sort generalized disturbance rejection control for vibration suppression of piezoelectric laminated flexible structures
url http://dx.doi.org/10.1155/2018/1538936
work_keys_str_mv AT xiaoyuzhang generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures
AT runxiaowang generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures
AT shunqizhang generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures
AT zhanxiwang generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures
AT xianshengqin generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures
AT rudigerschmidt generalizeddisturbancerejectioncontrolforvibrationsuppressionofpiezoelectriclaminatedflexiblestructures