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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Main Authors: Manu Sharma, S.P. Singh
Format: Article
Language:English
Published: Wiley 2010-01-01
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.
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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