Fuzzy Sliding Mode Control of Plate Vibrations
In this paper, fuzzy logic is meshed with sliding mode control, in order to control vibrations of a cantilevered plate. Test plate is instrumented with a piezoelectric sensor patch and a piezoelectric actuator patch. Finite element method is used to obtain mathematical model of the test plate. A des...
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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.3233/SAV-2010-0499 |
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author | Manu Sharma S.P. Singh |
author_facet | Manu Sharma S.P. Singh |
author_sort | Manu Sharma |
collection | DOAJ |
description | In this paper, fuzzy logic is meshed with sliding mode control, in order to control vibrations of a cantilevered plate. Test plate is instrumented with a piezoelectric sensor patch and a piezoelectric actuator patch. Finite element method is used to obtain mathematical model of the test plate. A design approach of a sliding mode controller for linear systems with mismatched time-varying uncertainties is used in this paper. It is found that chattering around the sliding surface in the sliding mode control can be checked by the proposed fuzzy sliding mode control approach. With presented fuzzy sliding mode approach the actuator voltage time response has a smooth decay. This is important because an abrupt decay can excite higher modes in the structure. Fuzzy rule base consisting of nine rules, is generated from the sliding mode inequality. Experimental implementation of the control approach verify the theoretical findings. For experimental implementation, size of the problem is reduced using modal truncation technique. Modal displacements as well as velocities of first two modes are observed using real-time kalman observer. Real time implementation of fuzzy logic based control has always been a challenge because a given set of rules has to be executed in every sampling interval. Results in this paper establish feasibility of experimental implementation of presented fuzzy logic based controller for active vibration control. |
format | Article |
id | doaj-art-7a94ba30d4d143e2915b5dd895e3266f |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
spelling | doaj-art-7a94ba30d4d143e2915b5dd895e3266f2025-02-03T06:48:37ZengWileyShock and Vibration1070-96221875-92032010-01-01171719210.3233/SAV-2010-0499Fuzzy Sliding Mode Control of Plate VibrationsManu Sharma0S.P. Singh1University Institute of Engineering & Technology, Panjab University, Chandigarh, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology, Hauz Khas, New Delhi-110016, IndiaIn this paper, fuzzy logic is meshed with sliding mode control, in order to control vibrations of a cantilevered plate. Test plate is instrumented with a piezoelectric sensor patch and a piezoelectric actuator patch. Finite element method is used to obtain mathematical model of the test plate. A design approach of a sliding mode controller for linear systems with mismatched time-varying uncertainties is used in this paper. It is found that chattering around the sliding surface in the sliding mode control can be checked by the proposed fuzzy sliding mode control approach. With presented fuzzy sliding mode approach the actuator voltage time response has a smooth decay. This is important because an abrupt decay can excite higher modes in the structure. Fuzzy rule base consisting of nine rules, is generated from the sliding mode inequality. Experimental implementation of the control approach verify the theoretical findings. For experimental implementation, size of the problem is reduced using modal truncation technique. Modal displacements as well as velocities of first two modes are observed using real-time kalman observer. Real time implementation of fuzzy logic based control has always been a challenge because a given set of rules has to be executed in every sampling interval. Results in this paper establish feasibility of experimental implementation of presented fuzzy logic based controller for active vibration control.http://dx.doi.org/10.3233/SAV-2010-0499 |
spellingShingle | Manu Sharma S.P. Singh Fuzzy Sliding Mode Control of Plate Vibrations Shock and Vibration |
title | Fuzzy Sliding Mode Control of Plate Vibrations |
title_full | Fuzzy Sliding Mode Control of Plate Vibrations |
title_fullStr | Fuzzy Sliding Mode Control of Plate Vibrations |
title_full_unstemmed | Fuzzy Sliding Mode Control of Plate Vibrations |
title_short | Fuzzy Sliding Mode Control of Plate Vibrations |
title_sort | fuzzy sliding mode control of plate vibrations |
url | http://dx.doi.org/10.3233/SAV-2010-0499 |
work_keys_str_mv | AT manusharma fuzzyslidingmodecontrolofplatevibrations AT spsingh fuzzyslidingmodecontrolofplatevibrations |