Journal of Mathematics

Fuzzy Approximation and its Applications in the Stabilization of Dynamic Systems 2021


Publishing date
01 Apr 2022
Status
Published
Submission deadline
03 Dec 2021

Lead Editor

1Guangxi University for Nationalities, Nanning, China

2Shaanxi Normal University, Xi'an, China

3Anhui Normal University, Wuhu, China


Fuzzy Approximation and its Applications in the Stabilization of Dynamic Systems 2021

Description

Fuzzy system theory has been successfully applied in many fields. Fuzzy systems can be established according to a given approximation accuracy. They can 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. Currently, 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. Meanwhile, 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:

  • Application 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 2022
  • - Article ID 7678972
  • - Research Article

Constructing the Fuzzy Hyperbola and Its Applications in Analytical Fuzzy Plane Geometry

Seçil Özekinci | Cansel Aycan
  • Special Issue
  • - Volume 2022
  • - Article ID 5675200
  • - Research Article

Uncertainty Measurement and Attribute Reduction Algorithm Based on Kernel Similarity Rough Set Model

Baoguo Chen | Lei Chen | Ming Deng
  • Special Issue
  • - Volume 2022
  • - Article ID 5939293
  • - Research Article

Waveform Distortion of Gaussian Beam in Atmospheric Turbulence Simulated by Phase Screen Method

Zhi-Qiang Yang | Li-hong Yang | ... | Xinyi Wang
  • Special Issue
  • - Volume 2022
  • - Article ID 7404460
  • - Research Article

Finite Time Prescribed Performance Control for Uncertain Second-Order Nonlinear Systems

Hui Lv | Wei Xiang | Jun Zhu
  • Special Issue
  • - Volume 2022
  • - Article ID 8301526
  • - Research Article

Study on the Transmission Characteristics of Polarized Laser in the Complicated Dust Environment on Mars

Yu-Feng Yang | Jian Ke | ... | Rui-Na Xu
  • Special Issue
  • - Volume 2022
  • - Article ID 3649662
  • - Research Article

A New Method to Improve the Measurement Accuracy of Autonomous Astronomical Navigation

Yu-Feng Yang | Xiang Han | ... | Zi-Chen Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 4952943
  • - Research Article

The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem

Na Liu | Hongxing Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 5240501
  • - Research Article

On Some Types of Covering-Based -Fuzzy Rough Sets and Their Applications

Mohammed Atef | José Carlos R. Alcantud | ... | Abdu Gumaei
  • Special Issue
  • - Volume 2021
  • - Article ID 3304917
  • - Research Article

Global Existence of Solution for the Fisher Equation via Faedo–Galerkin’s Method

Ahmed Hamrouni | Abdelbaki Choucha | ... | Sahar Ahmed Idris
  • Special Issue
  • - Volume 2021
  • - Article ID 8182454
  • - Research Article

Fuzzy Set Qualitative Comparative Analysis (fsQCA) Applied to the Driving Mechanism of Total Factor Productivity Growth

Qibo Diao | Yuanchun Liu
Journal of Mathematics
 Journal metrics
See full report
Acceptance rate14%
Submission to final decision138 days
Acceptance to publication22 days
CiteScore1.500
Journal Citation Indicator1.140
Impact Factor1.4
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