Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model

A multi-input multioutput (MIMO) Takagi-Sugeno (T-S) fuzzy model is built on the basis of a nonlinear model of MEMS gyroscope. A reference model is adjusted so that a local linear state feedback controller could be designed for each T-S fuzzy submodel based on a parallel distributed compensation (PD...

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Main Authors: Yunmei Fang, Shitao Wang, Juntao Fei, Mingang Hua
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/419643
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author Yunmei Fang
Shitao Wang
Juntao Fei
Mingang Hua
author_facet Yunmei Fang
Shitao Wang
Juntao Fei
Mingang Hua
author_sort Yunmei Fang
collection DOAJ
description A multi-input multioutput (MIMO) Takagi-Sugeno (T-S) fuzzy model is built on the basis of a nonlinear model of MEMS gyroscope. A reference model is adjusted so that a local linear state feedback controller could be designed for each T-S fuzzy submodel based on a parallel distributed compensation (PDC) method. A parameter estimation scheme for updating the parameters of the T-S fuzzy models is designed and analyzed based on the Lyapunov theory. A new adaptive law can be selected to be the former adaptive law plus a nonnegative in variable to guarantee that the derivative of the Lyapunov function is smaller than zero. The controller output is implemented on the nonlinear model and T-S fuzzy model, respectively, for the purpose of comparison. Numerical simulations are investigated to verify the effectiveness of the proposed control scheme and the correctness of the T-S fuzzy model.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-642b2b667f3e402794bdae779b6b80a72025-02-03T06:11:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/419643419643Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy ModelYunmei Fang0Shitao Wang1Juntao Fei2Mingang Hua3College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, ChinaCollege of IOT Engineering, Hohai University, Changzhou 213022, ChinaCollege of IOT Engineering, Hohai University, Changzhou 213022, ChinaCollege of IOT Engineering, Hohai University, Changzhou 213022, ChinaA multi-input multioutput (MIMO) Takagi-Sugeno (T-S) fuzzy model is built on the basis of a nonlinear model of MEMS gyroscope. A reference model is adjusted so that a local linear state feedback controller could be designed for each T-S fuzzy submodel based on a parallel distributed compensation (PDC) method. A parameter estimation scheme for updating the parameters of the T-S fuzzy models is designed and analyzed based on the Lyapunov theory. A new adaptive law can be selected to be the former adaptive law plus a nonnegative in variable to guarantee that the derivative of the Lyapunov function is smaller than zero. The controller output is implemented on the nonlinear model and T-S fuzzy model, respectively, for the purpose of comparison. Numerical simulations are investigated to verify the effectiveness of the proposed control scheme and the correctness of the T-S fuzzy model.http://dx.doi.org/10.1155/2015/419643
spellingShingle Yunmei Fang
Shitao Wang
Juntao Fei
Mingang Hua
Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
Discrete Dynamics in Nature and Society
title Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
title_full Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
title_fullStr Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
title_full_unstemmed Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
title_short Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model
title_sort adaptive control of mems gyroscope based on t s fuzzy model
url http://dx.doi.org/10.1155/2015/419643
work_keys_str_mv AT yunmeifang adaptivecontrolofmemsgyroscopebasedontsfuzzymodel
AT shitaowang adaptivecontrolofmemsgyroscopebasedontsfuzzymodel
AT juntaofei adaptivecontrolofmemsgyroscopebasedontsfuzzymodel
AT minganghua adaptivecontrolofmemsgyroscopebasedontsfuzzymodel