Fuzzy Sets and Systems最新文献_第9页

Event-triggered-based fuzzy adaptive tracking control for stochastic nonlinear systems against multiple constraints

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-31 DOI: 10.1016/j.fss.2024.109253

Haina Zhao , Junsheng Zhao , Zong-Yao Sun , Dengxiu Yu

{"title":"Event-triggered-based fuzzy adaptive tracking control for stochastic nonlinear systems against multiple constraints","authors":"Haina Zhao , Junsheng Zhao , Zong-Yao Sun , Dengxiu Yu","doi":"10.1016/j.fss.2024.109253","DOIUrl":"10.1016/j.fss.2024.109253","url":null,"abstract":"<div><div>In this article, we propose an adaptive event-triggered fuzzy dynamic surface controller for non-strict feedback stochastic nonlinear systems, where the nonlinear stochastic system exhibits input dead-zone characteristics and state constraints. Firstly, in contrast to many existing adaptive backstepping control results, we consider designing a dynamic surface control strategy to simplify complexity and enhance performance in stochastic systems. Then, the unknown nonlinearities within the system are addressed with the help of the approximation capability of the fuzzy logic system. It is worth noting that the design of the event-triggered mechanism effectively reduces resource waste in the data channel and improves communication efficiency. In addition, the adaptive backstepping control is combined with the barrier Lyapunov function in a unified framework to handle the state constraints. Resorting to a novel auxiliary system, the effect of the input dead-zone nonlinearity is countered. The presented fuzzy dynamic surface control scheme not only ensures the semi-globally uniformly ultimately bounded of the controlled system but also constrains the state within a fixed range and gets rid of the Zeno phenomenon. Finally, numerical simulation results validate the effectiveness of the control strategy and illustrate the feasibility of the controller through a single-link manipulator system.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"504 ","pages":"Article 109253"},"PeriodicalIF":3.2,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143158904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Properties of fuzzy set spaces with Lp metrics

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-31 DOI: 10.1016/j.fss.2024.109256

Huan Huang

引用次数: 0

Fixed-time adaptive fuzzy control for stochastic MEME gyroscopes with optimized transient behaviors and limited communication resources

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-27 DOI: 10.1016/j.fss.2024.109255

Yu Xia , Junyang Li , Cheng Wang

{"title":"Fixed-time adaptive fuzzy control for stochastic MEME gyroscopes with optimized transient behaviors and limited communication resources","authors":"Yu Xia , Junyang Li , Cheng Wang","doi":"10.1016/j.fss.2024.109255","DOIUrl":"10.1016/j.fss.2024.109255","url":null,"abstract":"<div><div>This study expands the existing model for microelectromechanical system (MEMS) gyroscopes by transitioning from a deterministic model to a stochastic nonlinear model and proposes an adaptive fuzzy control scheme that is triggered by events and ensures prescribed performance for stochastic MEMS gyroscopes. Unlike current control schemes for MEMS gyroscopes, the scheme guarantees full control over output overshoot and input vibration, while eliminating the need for design parameters to meet feasibility conditions in event-triggered mechanisms. Additionally, it introduces a type-3 fuzzy system with improved modeling capabilities to approximate unknown nonlinear terms. By incorporating command filtering techniques, the scheme effectively addresses issues related to complexity explosion and filtering errors in backstepping designs. Through the application of fixed-time Lyapunov stability theory on stochastic systems, it is demonstrated that all closed-loop signals are fixed-time bounded in probability. Moreover, the tracking error consistently remains within predefined performance boundaries. Simulation experiments validate both the effectiveness and superiority of the scheme.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"504 ","pages":"Article 109255"},"PeriodicalIF":3.2,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143158902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

⁎-betweenness induced by fuzzy metrics

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-24 DOI: 10.1016/j.fss.2024.109254

Zhenyu Jin , Conghua Yan

引用次数: 0

Discrete imprecise copulas

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-24 DOI: 10.1016/j.fss.2024.109251

Tomaž Košir , Elisa Perrone

引用次数: 0

Fuzzy-model-based bipartite synchronization for nonlinear cooperation-competition networks with semi-Markov switching topologies under FDI attacks

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-20 DOI: 10.1016/j.fss.2024.109252

Liangyao Shi , Feng Li , Hao Shen , Ju H. Park

引用次数: 0

On the centroid of a general type-2 fuzzy set with monotonically increasing second membership functions 关于具有单调递增第二成员函数的一般第二类模糊集的中心点

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-19 DOI: 10.1016/j.fss.2024.109247

Xianliang Liu , Zhihuan Hu , Weidong Zhang

{"title":"On the centroid of a general type-2 fuzzy set with monotonically increasing second membership functions","authors":"Xianliang Liu , Zhihuan Hu , Weidong Zhang","doi":"10.1016/j.fss.2024.109247","DOIUrl":"10.1016/j.fss.2024.109247","url":null,"abstract":"<div><div>In a type-2 fuzzy logic system, the centroid computation of a general type-2 fuzzy set (T2 FS) is one of the most important type reduction methods. Nearly all of the existing algorithms are based on the <em>α</em>-plane representation or <em>z</em>-slice representation. Therefore, all of these algorithms can only approximately compute the centroid of a general T2 FS and cannot obtain the analytic expression of the centroid of a general T2 FS. The main objective of this study is to obtain the analytic expression of the centroid of a general T2 FS with monotonically increasing second membership functions based on a discrete universe of discourse. First, assuming that the second membership functions of a general T2 FS is linear and monotonically increasing, a method is proposed to compute its centroid. Second, an approach to calculate the centroid of a general T2 FS is also analyzed, if the second membership functions are only monotonically increasing. Finally, two numerical examples are given to demonstrate the calculation processes of the proposed method in this study. Notably, the proposed method can also be employed to obtain the analytic expression of the centroid of a general T2 FS with monotonically decreasing second membership functions.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"503 ","pages":"Article 109247"},"PeriodicalIF":3.2,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143180843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On some types of reduction for families of fuzzy sets

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-18 DOI: 10.1016/j.fss.2024.109248

Guilong Liu

引用次数: 0

Multi-valued Choquet integral based on a couple of set functions with an application in multi-attribute decision-making

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-18 DOI: 10.1016/j.fss.2024.109249

Deli Zhang , Radko Mesiar , Endre Pap

引用次数: 0

An efficient algorithm for estimating profust failure probability function under the assumption of probable input and fuzzy state

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-12-18 DOI: 10.1016/j.fss.2024.109250

Xiaomin Wu, Zhenzhou Lu, Yizhou Chen, Kaixuan Feng

{"title":"An efficient algorithm for estimating profust failure probability function under the assumption of probable input and fuzzy state","authors":"Xiaomin Wu, Zhenzhou Lu, Yizhou Chen, Kaixuan Feng","doi":"10.1016/j.fss.2024.109250","DOIUrl":"10.1016/j.fss.2024.109250","url":null,"abstract":"<div><div>Under the assumption of <strong>pro</strong>bable input and <strong>fu</strong>zzy <strong>st</strong>ate (profust), profust (also named as generalized) failure probability function (G-FPF), which varies with random input distribution parameters (DP) in the interested region, can reflect the effect of DP on structure safety and decouples the generalized reliability-based design optimization. The direct double-loop analysis of G-FPF, which repeatedly estimates the G-FPF values at different DP realizations, is time-consuming. Thus, this paper proposes a single-loop importance sampling (IS) method to estimate G-FPF by combining a variance reduction technique with a sample information-sharing strategy. The proposed method has two innovations. The first is constructing an optimal unified IS density (ISD), which is independent of the DP and envelops the interested DP region. By sharing the sample of the unified ISD, the double-loop analysis for G-FPF can be avoided, and by fusing the IS variance reduction technique, the efficiency of estimating G-FPF can be improved further. The second is designing an adaptive strategy to update the Kriging model of performance function, so that the computational cost, which is measured by the number of performance function evaluations while ensuring the acceptable precision of G-FPF estimation, can be reduced in approaching and sampling the optimal unified ISD as well as predicting the performance function at the sample of the optimal unified ISD. Moreover, the proposed method has wide applicability, and it has no restriction on the nonlinearity of the performance function and the size of the interested DP region, which is sufficiently verified by the presented examples.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"504 ","pages":"Article 109250"},"PeriodicalIF":3.2,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143159872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0