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Fuzzy Modeling and Fuzzy Control Systems
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Fuzzy Modeling and Fuzzy Control Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: 30 June 2024 | Viewed by 8566

Special Issue Editors

Dr. Lijuan Zha

E-Mail Website
Guest Editor
1. School of Mathematics, Southeast University, Nanjing 210096, China
2. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, China
Interests: networked control systems; neural networks; complex dynamical systems
Dr. Jian Liu

E-Mail Website
Guest Editor
College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, China
Interests: nonlinear dynamics; complex system; stochastic resonance; intelligent optimization algorithms
Prof. Dr. Jinliang Liu

E-Mail Website
Guest Editor
College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, China
Interests: networked control systems; complex dynamical networks; time-delay systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The modelling, analysis, and optimal control of fuzzy control systems or even nonlinear dynamics systems (FCS/NDSs) have received considerable attention in the last two decades. As usual, the design and analysis of classic dynamics systems rely on deterministic mathematical models. However, dynamical systems are riddled with nonlinearity, complexity and time-delay properties, which make it difficult to obtain system optimization. Certain linearization assumptions are often employed to obtain the optimal theoretical closed-form solution in FCS/NDSs, which are inconsistent with the real engineering applications.

Recently, with the rapid development of advanced machine learning, artificial intelligence, robot technology, networked control methods, deep space exploration, and other fields, successful applications in FCS/NDSs have emerged. Therefore, these advanced nonlinear sciences will motivate the researchers to explore new solutions of abundant problems in FCS/NDSs.

This Special Issue is devoted to encourage high-quality manuscript submissions that highlight innovative ideas and applications with FCS/NDSs and address nonlinear intelligent control from theory and practice.

The topics of interest include, but are not limited to:

  • Fuzzy control systems;
  • Nonlinear dynamics in nature and social system sustainability;
  • Network security and networked control methods;
  • Reinforcement learning;
  • Data-driven dynamics;
  • Learning-based nonlinear control: method and applications;
  • Nonlinear optimization algorithms and their applications in nonlinear dynamic systems, industrial robotics, unmanned vehicles, etc.

Dr. Lijuan Zha
Dr. Jian Liu
Prof. Dr. Jinliang Liu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fuzzy control systems
  • nonlinear dynamics systems
  • networked control methods
  • data-driven dynamics
  • nonlinear intelligent control

Published Papers (8 papers)

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Research

17 pages, 868 KiB  
Article
Dissipative Fuzzy Filtering for Nonlinear Networked Systems with Dynamic Quantization and Data Packet Dropouts
by Shuxia Jing, Chengming Lu and Zhimin Li
Mathematics 2024, 12(2), 203; https://doi.org/10.3390/math12020203 - 08 Jan 2024
Viewed by 496
Abstract
This paper discusses the dissipative filtering problem for discrete-time nonlinear networked systems with dynamic quantization and data packet dropouts. The Takagi–Sugeno (T–S) fuzzy model is employed to approximate the considered nonlinear plant. Both the measurement and performance outputs are assumed to be quantized [...] Read more.
This paper discusses the dissipative filtering problem for discrete-time nonlinear networked systems with dynamic quantization and data packet dropouts. The Takagi–Sugeno (T–S) fuzzy model is employed to approximate the considered nonlinear plant. Both the measurement and performance outputs are assumed to be quantized by the dynamic quantizers before being transmitted. Moreover, the Bernoulli stochastic variables are utilized to characterize the effects of data packet dropouts on the measurement and performance outputs. The purpose of this paper is to design full- and reduced-order filters, such that the stochastic stability and dissipative filtering performance for the filtering error system can be guaranteed. The collaborative design conditions for the desired filter and the dynamic quantizers are expressed in the form of linear matrix inequalities. Finally, simulation results are used to illustrate the feasibility of the proposed filtering scheme. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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27 pages, 930 KiB  
Article
Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates
by Muhammad Bilal Khan, Eze R. Nwaeze, Cheng-Chi Lee, Hatim Ghazi Zaini, Der-Chyuan Lou and Khalil Hadi Hakami
Mathematics 2023, 11(24), 4974; https://doi.org/10.3390/math11244974 - 16 Dec 2023
Viewed by 537
Abstract
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest. Convexity has undergone several improvements, generalizations, and extensions over time in an effort to produce more accurate variations of [...] Read more.
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest. Convexity has undergone several improvements, generalizations, and extensions over time in an effort to produce more accurate variations of known findings. This article’s main goal is to introduce a new class of convexity as well as to prove several Hermite–Hadamard type interval-valued integral inequalities in the fractional domain. First, we put forth the new notion of generalized convexity mappings, which is defined as UD-Ԓ-convexity on coordinates with regard to fuzzy-number-valued mappings and the up and down (UD) fuzzy relation. The generic qualities of this class make it novel. By taking into account different values for Ԓ, we produce several known classes of convexity. Additionally, we create some new fractional variations of the Hermite–Hadamard (HH) and Pachpatte types of inequalities using the concepts of coordinated UD-Ԓ-convexity and double Riemann–Liouville fractional operators. The results attained here are the most cohesive versions of previous findings. To demonstrate the importance of the key findings, we offer a number of concrete examples. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
15 pages, 1357 KiB  
Article
Epidemic Spreading on Weighted Co-Evolving Multiplex Networks
by Bo Song, Huiming Wu, Yurong Song, Xu Wang and Guoping Jiang
Mathematics 2023, 11(14), 3109; https://doi.org/10.3390/math11143109 - 14 Jul 2023
Viewed by 743
Abstract
The individual behaviors driven by information diffusion show an undeniable impact on the process of epidemic spreading and have been continuously evolving with the dynamic processes. In this paper, a novel weighted co-evolving multiplex network model is proposed to describe the interaction between [...] Read more.
The individual behaviors driven by information diffusion show an undeniable impact on the process of epidemic spreading and have been continuously evolving with the dynamic processes. In this paper, a novel weighted co-evolving multiplex network model is proposed to describe the interaction between information diffusion in online social networks and epidemic spreading in adaptive physical contact networks. Considering the difference in the connections between individuals, the heterogeneous rewiring rate, which is proportional to the strength of the connection, is introduced in our model. The simulation results show that the maximum infection scale decreases as the information acceptance probability grows, and the final infection decreases as the rewiring behaviors increase. Interestingly, an infection peak appears in our model due to the interaction between information diffusion and epidemic spread. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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23 pages, 874 KiB  
Article
Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities
by Muhammad Bilal Khan, Ali Althobaiti, Cheng-Chi Lee, Mohamed S. Soliman and Chun-Ta Li
Mathematics 2023, 11(13), 2851; https://doi.org/10.3390/math11132851 - 25 Jun 2023
Cited by 3 | Viewed by 690
Abstract
The symmetric function class interacts heavily with other types of functions. One of these is the convex function class, which is strongly related to symmetry theory. In this study, we define a novel class of convex mappings on planes using a fuzzy inclusion [...] Read more.
The symmetric function class interacts heavily with other types of functions. One of these is the convex function class, which is strongly related to symmetry theory. In this study, we define a novel class of convex mappings on planes using a fuzzy inclusion relation, known as coordinated up and down convex fuzzy-number-valued mapping. Several new definitions are introduced by placing some moderate restrictions on the notion of coordinated up and down convex fuzzy-number-valued mapping. Other uncommon examples are also described using these definitions, which can be viewed as applications of the new outcomes. Moreover, Hermite–Hadamard–Fejér inequalities are acquired via fuzzy double Aumann integrals, and the validation of these outcomes is discussed with the help of nontrivial examples and suitable choices of coordinated up and down convex fuzzy-number-valued mappings. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
13 pages, 426 KiB  
Article
A More Efficient and Practical Modified Nyström Method
by Wei Zhang, Zhe Sun, Jian Liu and Suisheng Chen
Mathematics 2023, 11(11), 2433; https://doi.org/10.3390/math11112433 - 24 May 2023
Viewed by 701
Abstract
In this paper, we propose an efficient Nyström method with theoretical and empirical guarantees. In parallel computing environments and for sparse input kernel matrices, our algorithm can have computation efficiency comparable to the conventional Nyström method, theoretically. Additionally, we derive an important theoretical [...] Read more.
In this paper, we propose an efficient Nyström method with theoretical and empirical guarantees. In parallel computing environments and for sparse input kernel matrices, our algorithm can have computation efficiency comparable to the conventional Nyström method, theoretically. Additionally, we derive an important theoretical result with a compacter sketching matrix and faster speed, at the cost of some accuracy loss compared to the existing state-of-the-art results. Faster randomized SVD and more efficient adaptive sampling methods are also proposed, which have wide application in many machine-learning and data-mining tasks. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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18 pages, 4209 KiB  
Article
Application of Fuzzy PID Based on Stray Lion Swarm Optimization Algorithm in Overhead Crane System Control
by Jie Fu, Jian Liu, Dongkai Xie and Zhe Sun
Mathematics 2023, 11(9), 2170; https://doi.org/10.3390/math11092170 - 05 May 2023
Cited by 1 | Viewed by 1319
Abstract
To solve the problem of crane anti-swing, fuzzy PID is a common method. However, the parameter configuration of fuzzy PID requires a lot of time and effort from professionals. Based on this, we introduce the LSO algorithm and add the stray operator, which [...] Read more.
To solve the problem of crane anti-swing, fuzzy PID is a common method. However, the parameter configuration of fuzzy PID requires a lot of time and effort from professionals. Based on this, we introduce the LSO algorithm and add the stray operator, which effectively improves its global search performance. By combining SLSO and fuzzy PID and comparing them with other methods, this paper confirms that even without the targeted optimization by professionals, the optimization algorithm can find the appropriate parameter configuration for fuzzy PID which can be effectively used in the crane anti-swing problem. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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23 pages, 5803 KiB  
Article
A Comprehensive Method to Evaluate Ride Comfort of Autonomous Vehicles under Typical Braking Scenarios: Testing, Simulation and Analysis
by Binshuang Zheng, Zhengqiang Hong, Junyao Tang, Meiling Han, Jiaying Chen and Xiaoming Huang
Mathematics 2023, 11(2), 474; https://doi.org/10.3390/math11020474 - 16 Jan 2023
Cited by 4 | Viewed by 2021
Abstract
To highlight the advantages of autonomous vehicles (AVs) in modern traffic, it is necessary to investigate the sensing requirement parameters of the road environment during the vehicle braking process. Based on the texture information obtained using a field measurement, the braking model of [...] Read more.
To highlight the advantages of autonomous vehicles (AVs) in modern traffic, it is necessary to investigate the sensing requirement parameters of the road environment during the vehicle braking process. Based on the texture information obtained using a field measurement, the braking model of an AV was built in Simulink and the ride comfort under typical braking scenarios was analyzed using CarSim/Simulink co-simulation. The results showed that the proposed brake system for the AV displayed a better performance than the traditional ABS when considering pavement adhesion characteristics. The braking pressure should be controlled to within the range of 4 MPa~6 MPa on a dry road, while in wet road conditions, the pressure should be within 3 MPa~4 MPa. When steering braking in dry road conditions, the duration of the “curve balance state” increased by about 57.14% compared with wet road conditions and the recommended curve radius was about 100 m. The slope gradient had a significant effect on the initial braking speed and comfort level. Overall, the ride comfort evaluation method was proposed to provide theoretical guidance for AV braking strategies, which can help to complement existing practices for road condition assessment. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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16 pages, 431 KiB  
Article
Further Results on Robust Output-Feedback Dissipative Control of Markovian Jump Fuzzy Systems with Model Uncertainties
by Thanh Binh Nguyen and Hyoung-Kyu Song
Mathematics 2022, 10(19), 3620; https://doi.org/10.3390/math10193620 - 03 Oct 2022
Cited by 3 | Viewed by 958
Abstract
This paper investigates an improved criterion to synthesize dissipative observer-based controllers for Markovian jump fuzzy systems under model uncertainties. Since fuzzy-basis functions include some immeasurable state variable or uncertain parameters, there are differences in the fuzzy-basis functions between controller and plant, which is [...] Read more.
This paper investigates an improved criterion to synthesize dissipative observer-based controllers for Markovian jump fuzzy systems under model uncertainties. Since fuzzy-basis functions include some immeasurable state variable or uncertain parameters, there are differences in the fuzzy-basis functions between controller and plant, which is a mismatched phenomenon. This work presents the first attempt for applying double-fuzzy summation-based Lyapunov functions for the observer-based control scheme of the Markov jump fuzzy system regarding the mismatched phenomenon. To be specific, the dissipative conditions are formulated in terms of uncertain parameterized bilinear matrix inequalities. Based on the improved relaxation techniques, a linear-matrix-inequality (LMI)-based algorithm is proposed in the framework of sequence linear programming matrix method. The obtained observer-based controller ensures that the closed-loop system is stochastically stable, and the dissipative performances produce less conservative results compared to preceding works via two numerical examples. Full article
(This article belongs to the Special Issue Fuzzy Modeling and Fuzzy Control Systems)
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