Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope

In this paper, an adaptive double feedback fuzzy neural fractional order sliding control approach is presented to solve the problem that lumped parameter uncertainties cannot be measured and the parameters are unknown in a micro gyroscope system. Firstly, a fractional order sliding surface is design...

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Main Authors: Yunmei Fang, Fang Chen, Juntao Fei
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/17/2124
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author Yunmei Fang
Fang Chen
Juntao Fei
author_facet Yunmei Fang
Fang Chen
Juntao Fei
author_sort Yunmei Fang
collection DOAJ
description In this paper, an adaptive double feedback fuzzy neural fractional order sliding control approach is presented to solve the problem that lumped parameter uncertainties cannot be measured and the parameters are unknown in a micro gyroscope system. Firstly, a fractional order sliding surface is designed, and the fractional order terms can provide additional freedom and improve the control accuracy. Then, the upper bound of lumped nonlinearities is estimated online using a double feedback fuzzy neural network. Accordingly, the gain of switching law is replaced by the estimated value. Meanwhile, the parameters of the double feedback fuzzy network, including base widths, centers, output layer weights, inner gains, and outer gains, can be adjusted in real time in order to improve the stability and identification efficiency. Finally, the simulation results display the performance of the proposed approach in terms of convergence speed and track speed.
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spelling doaj.art-6cf11fbc552f4998bea4fdf44be1ffbe2023-11-22T10:58:17ZengMDPI AGMathematics2227-73902021-09-01917212410.3390/math9172124Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro GyroscopeYunmei Fang0Fang Chen1Juntao Fei2College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, ChinaCollege of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, ChinaCollege of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, ChinaIn this paper, an adaptive double feedback fuzzy neural fractional order sliding control approach is presented to solve the problem that lumped parameter uncertainties cannot be measured and the parameters are unknown in a micro gyroscope system. Firstly, a fractional order sliding surface is designed, and the fractional order terms can provide additional freedom and improve the control accuracy. Then, the upper bound of lumped nonlinearities is estimated online using a double feedback fuzzy neural network. Accordingly, the gain of switching law is replaced by the estimated value. Meanwhile, the parameters of the double feedback fuzzy network, including base widths, centers, output layer weights, inner gains, and outer gains, can be adjusted in real time in order to improve the stability and identification efficiency. Finally, the simulation results display the performance of the proposed approach in terms of convergence speed and track speed.https://www.mdpi.com/2227-7390/9/17/2124micro gyroscopedouble feedback fuzzy neural networkneural networkfractional ordersliding mode control
spellingShingle Yunmei Fang
Fang Chen
Juntao Fei
Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
Mathematics
micro gyroscope
double feedback fuzzy neural network
neural network
fractional order
sliding mode control
title Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
title_full Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
title_fullStr Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
title_full_unstemmed Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
title_short Multiple Loop Fuzzy Neural Network Fractional Order Sliding Mode Control of Micro Gyroscope
title_sort multiple loop fuzzy neural network fractional order sliding mode control of micro gyroscope
topic micro gyroscope
double feedback fuzzy neural network
neural network
fractional order
sliding mode control
url https://www.mdpi.com/2227-7390/9/17/2124
work_keys_str_mv AT yunmeifang multipleloopfuzzyneuralnetworkfractionalorderslidingmodecontrolofmicrogyroscope
AT fangchen multipleloopfuzzyneuralnetworkfractionalorderslidingmodecontrolofmicrogyroscope
AT juntaofei multipleloopfuzzyneuralnetworkfractionalorderslidingmodecontrolofmicrogyroscope