Journal of Mathematics

Fuzzy Approximation and its Applications in Stabilization of Dynamic Systems


Publishing date
01 Apr 2021
Status
Closed
Submission deadline
27 Nov 2020

Lead Editor

1Guangxi University for Nationalities, Nanning, China

2Shaanxi Normal University, Xi'an, China

3Al-Azhar University, Cairo, Egypt

This issue is now closed for submissions.
More articles will be published in the near future.

Fuzzy Approximation and its Applications in Stabilization of Dynamic Systems

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Fuzzy system theory has been successfully applied in many fields, one of which is to establish a fuzzy system according to a given approximation accuracy, and to approximate a predetermined model or control process. Therefore, it is important to analyze the approximation mechanism of fuzzy systems.

The general approximation of a fuzzy system refers to whether the fuzzy system can approximate any continuous function defined on a compact set with arbitrary precision. At present, the research on fuzzy systems as universal approximators is mainly divided into two aspects. One is qualitative research, that is, the study of the internal mechanism of analyzing the approximation performance of various fuzzy systems; the second is quantitative research, which aims to determine the approximation error of fuzzy systems. On the other hand, adaptive control is a discipline that studies uncertain system control problems. Adaptive control can be regarded as a feedback control system that can intelligently adjust its own characteristics according to environmental changes so that the system can work in an optimal state according to some set standards. Adaptive control is very successful in the control of aviation, missiles, and space vehicles. Adaptive control, like conventional feedback control and optimal control, is also a control method based on a mathematical model. The only difference is that the adaptive control is based on less prior knowledge about models and disturbances, which requires operation in the system. In the process, the information about the model is continuously extracted to gradually improve the model. It is well known that system uncertainties exist in most actual systems, which are produced by external disturbances, modelling errors, etc. An effective method to handle these uncertainties is using fuzzy logic systems.

The aim of this Special Issue is to collate original research and review articles related to the qualitative and quantitative analysis of fuzzy logic systems, adaptive fuzzy control, and stability analysis of dynamic systems.

Potential topics include but are not limited to the following:

  • Applications of fuzzy logic systems
  • Qualitative and quantitative analysis of fuzzy logic systems
  • Fuzzy universal approximator and its applications
  • Adaptive fuzzy control
  • Stability of nonlinear systems under fuzzy approximation
  • Adaptive fuzzy synchronization of chaotic systems
  • Fractional-order fuzzy adaptive control

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 6611782
  • - Research Article

A Novel Approach of Complex Dual Hesitant Fuzzy Sets and Their Applications in Pattern Recognition and Medical Diagnosis

Ubaid Ur Rehman | Tahir Mahmood | ... | Thammarat Panityakul
  • Special Issue
  • - Volume 2021
  • - Article ID 6684906
  • - Research Article

Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors

Chenhui Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6668405
  • - Research Article

Fuzzy Adaptive Variable Structure Control of Second-Order Robotic Manipulators with Dead Zones

Songyu Wang | Xianmin Hou
  • Special Issue
  • - Volume 2021
  • - Article ID 6644668
  • - Research Article

Multistep Wind Speed Forecasting Based on a Hybrid Model of VMD and Nonlinear Autoregressive Neural Network

Yuqiao Zheng | Bo Dong | ... | Lei Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6636882
  • - Research Article

T-S Fuzzy Control of Uncertain Fractional-Order Systems with Time Delay

Yilin Hao | Xiulan Zhang
  • Special Issue
  • - Volume 2021
  • - Article ID 6694394
  • - Research Article

The Calculations of Topological Indices on Certain Networks

Jia-Bao Liu | Ting Zhang | Sakander Hayat
  • Special Issue
  • - Volume 2021
  • - Article ID 6611031
  • - Research Article

Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller

Jingjing Wang | Chunzhi Yang
  • Special Issue
  • - Volume 2021
  • - Article ID 6699295
  • - Research Article

A New Approach to Concavity Fuzzification

Ibtesam Alshammari | Azza M. Alghamdi | A. Ghareeb
  • Special Issue
  • - Volume 2021
  • - Article ID 6662843
  • - Research Article

More Constructions of 3-Weight Linear Codes

Lingyong Ma | Guanjun Li | Fengyan Liu
  • Special Issue
  • - Volume 2021
  • - Article ID 6646941
  • - Research Article

Nonsingular Terminal Sliding Mode Control of Uncertain Chaotic Gyroscope System Based on Disturbance Observer

Xin Ma | Yeguo Sun | Fang Zhu
Journal of Mathematics
 Journal metrics
Acceptance rate22%
Submission to final decision43 days
Acceptance to publication32 days
CiteScore0.500
Journal Citation Indicator0.690
Impact Factor0.971
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.