Article
Mathematics, Interdisciplinary Applications
R. Vadivel, S. Sabarathinam, Yongbao Wu, Kantapon Chaisena, Nallappan Gunasekaran
Summary: This study presents a T-S fuzzy-based sampled-data controller for switched chaotic systems. By designing a switched-based sampled-data fuzzy controller and proposing a novel time-dependent Lyapunov-Krasovskii functional approach, some sufficient conditions are established to achieve exponential stability of the proposed closed-loop system. The proposed approach has been demonstrated to be effective in the Lorenz system, Chen system, and Lu system.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Chao Ge, Zengshuai Liu, Lei Wang, Yajuan Liu
Summary: This work focuses on dissipative control for Takagi-Sugeno fuzzy system using sampled-data control method. By combining the T-S fuzzy model with fuzzy membership functions, less conservative results are obtained. A novel Lyapunov-Krasovskii functional is constructed to take advantage of the sampling interval for more realistic information, and a sampled-data controller is designed.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Computer Science, Artificial Intelligence
B. Visakamoorthi, K. Subramanian, P. Muthukumar
Summary: In this paper, a fuzzy memory-based coupling sampled-data control (SDC) is designed for nonlinear systems through the switched approach. By employing the Bernoulli sequence, a more general coupling switched SDC that involves signal transmission delay is designed. The appropriate conditions for ensuring stability of the system are obtained using Lyapunov-Krasovskii functional (LKF) and the membership function of the T-S fuzzy systems.
Article
Computer Science, Interdisciplinary Applications
Weipeng Tai, Dandan Zuo, Zuxing Xuan, Jianping Zhou, Zhen Wang
Summary: This paper presents a design method for non-fragile L-2 - L-infinity filtering for switched neural networks with time-variant delay. The method eliminates nonlinear coupling terms and formulates the stability and performance optimization as a problem of finding feasible solutions to a set of linear matrix inequalities. The applicability of the design method is illustrated through numerical examples.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Computer Science, Information Systems
Pengyi Tang, Yuechao Ma
Summary: This paper investigates the problem of exponential dissipation stability of T-S fuzzy system with state quantization using non-fragile sampled-data control. The construction of Lyapunov-Krasovskii function containing all sampled-data and quantization information, along with the design of a dissipative controller for non-fragile sampled-data, leads to significant improvements as demonstrated through reasonable examples.
INFORMATION SCIENCES
(2021)
Article
Computer Science, Artificial Intelligence
Yongsik Jin, Wookyong Kwon, Sangmoon Lee
Summary: This article presents a new design method for sampled-data fuzzy filters in Takagi-Sugeno fuzzy systems with asynchronous premise variables. The method transforms the membership functions of the filter by scaling and biasing the system's membership functions. By utilizing looped functions and a modified free-weighting matrix inequality, the method handles the sampled system's output and formulates the filter design condition in terms of a parameterized linear matrix inequality with affine matched fuzzy parameter vectors. The article also introduces a modified Finsler's lemma to handle the affine matched fuzzy parameter vectors. The method enhances the filter design condition for H-infinity performance by utilizing the relationship between the transformed membership functions.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2022)
Article
Computer Science, Information Systems
Yong Hoon Jang, Han Sol Kim, Euntai Kim, Young Hoon Joo
Summary: This study proposes a technique to design a decentralized sampled-data Ho fuzzy filter for nonlinear interconnected systems. The design includes exponential time-varying gains and considers both measurable and immeasurable premise variable cases. The study focuses on deriving less conservative design conditions for the filter.
INFORMATION SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
Yuanyuan Liu, Yuechao Ma
Summary: This paper investigates the performance of mixed H-infinity and passivity for T-S fuzzy system under the non-fragile memory sampled-data controller. A new criterion is obtained by constructing an augment Lyapunov-Krasovskii functional and considering Wirtinger-based integral inequality and Convex combination technique. Numerical examples are used to demonstrate the effectiveness and superiority of the results.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2021)
Article
Computer Science, Artificial Intelligence
Qunxian Zheng, Shengyuan Xu, Zhengqiang Zhang
Summary: This article addresses the H-infinity filtering problem for a class of discrete-time nonlinear switched systems, using Takagi-Sugeno fuzzy systems to represent each subsystem and considering signal quantization and filter parameter perturbation. Sufficient conditions for desired H-infinity filters are established based on the average dwell time approach, with the conclusion that the filtering error system is exponentially stable.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Automation & Control Systems
Wen-Bo Xie, Hua Zheng, Ming-Yang Li, Choon Ki Ahn
Summary: This article proposes a novel local controller design method and stability analysis approach for state-feedback control of Takagi-Sugeno (T-S) fuzzy systems. By using a membership function piecewise linearization technique and fuzzy Lyapunov function, less conservative stability conditions are obtained, and the excellent performance of the proposed approach is demonstrated in a simulation example.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Subramanian Kuppusamy, Young Hoon Joo
Summary: This study focuses on the stabilization criteria of Takagi-Sugeno (T-S) fuzzy systems under memory-based sampled-data control. A more general control scheme is designed to accommodate signal transmission delay and multiplicative control gain uncertainties. The Bernoulli sequence is employed to indicate the perturbations of control gain, and the membership function dependent $H_{\infty }$ performance index is introduced for the attenuation of disturbances in continuous-time T-S fuzzy systems. Utilizing the novel H-infinity performance index and appropriate Lyapunov-Krasovskii functional, the sufficient conditions for stabilization of T-S fuzzy systems and enlargement of the maximum sampling period are derived.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
R. Vijay Aravind, P. Balasubramaniam
Summary: This article presents a fuzzy sampled-data controller for nonlinear semi-Markovian jump systems (SMJS) using the fuzzy dependent stochastic looped-Lyapunov functional (FSLF) approach. The stochastic jump parameters, actuator faults, and logarithmic quantizer are considered within a unified framework using the Takagi-Sugeno (T-S) method. The proposed controller scheme ensures stochastic stability for the nonlinear SMJS in the presence of actuator faults and state quantization.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Wen-Bo Xie, Jian Zhang, Yi-Fan Li, Reinaldo M. Palhares
Summary: This paper proposes a new stability synthesis method for solving the state feedback stabilization problem of a class of T-S fuzzy systems. The method reduces conservatism in the analysis process by approximating and transforming polynomials, and utilizes membership functions for stability analysis.
Article
Automation & Control Systems
Chao Ge, Liu Yang, Zhiwei Zhao, Jiayong Zhang, Yajuan Liu
Summary: This paper addresses the stability and stabilization problems of uncertain Takagi-Sugeno fuzzy system with control packet dropout. A novel Lyapunov-Krasovskii function is constructed via introducing fuzzy membership functions, and new stabilization criteria are established to guarantee stochastic stability when control packet dropout occurs in a random way.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2021)
Article
Automation & Control Systems
Lei Liu, Lifeng Ma, Jie Zhang, Yuming Bo
Summary: This paper investigates the secure distributed set-membership filtering problem for general nonlinear systems over wireless sensor networks. Bias injection attacks and channel fading of wireless communication are taken into account in filter design. By using LMI technique and Taylor's expansion formula, nonlinearity, channel fading, bias injection attacks, and non-fragility are handled simultaneously to address the filter design problem. Sufficient conditions are obtained for pre-specified filtering performance, and an optimal algorithm is proposed for locally best performance. Simulation example demonstrates the effectiveness of the proposed secure filtering algorithm.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Hangfeng He, Wenhai Qi, Jinde Cao, Jun Cheng, Kaibo Shi
Summary: This article discusses the adaptive technique and sliding-mode algorithm (SMA) for observer-based fault tolerant control with a dynamic event-triggered scheme (DETS). Both actuator and communication faults are considered, and a switched DETS for the controller-actuator channel is proposed. A stochastic system model is used to deal with communication faults, and an SMA-based observer is designed to estimate system states. A novel observer-based adaptive sliding-mode control (SMC) law is proposed to guarantee boundedness and reduce chattering. The proposed DETS and observer-based adaptive SMC law are applied to a robotic arm for validation.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Jun Cheng, Huaicheng Yan, Ju H. Park, Guangdeng Zong
Summary: In this study, the problem of output-feedback control strategy design for a type of Takagi-Sugeno fuzzy singular perturbed system is explored. To improve the reliability of signal transmission and alleviate the communication load, a novel stochastic communication protocol (SCP) based on a nonhomogeneous Markov chain is proposed. An asynchronous OFC law is formulated using a hidden Markov model with partly unidentified detection probabilities. A sufficient condition is established to guarantee the stochastic stability of the resulting system, and the solution for the asynchronous controller is portrayed by establishing a novel Lyapunov-Krasovskii functional with a singular perturbation parameter and a nonhomogeneous Markov process. The validity of the methodology is demonstrated through a practical example.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Wenhai Qi, Yakun Hou, Ju H. Park, Guangdeng Zong, Jinde Cao, Jun Cheng
Summary: This article focuses on the problem of discrete-time sliding mode control (DTSMC) for uncertain networked semi-Markovian switching systems (S-MSSs) under random denial-of-service (DoS) attacks. The semi-Markovian kernel (SMK) approach is used for controlling the switching between different modes, and a sliding mode function related to the attack probability is constructed to analyze the impact of malicious attacks. Sufficient conditions are derived to ensure that the proposed DTSMC law can drive the system dynamics onto the preset sliding region within a limited time.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Engineering, Electrical & Electronic
Jun Cheng, Shan Liu, Hak-Keung Lam, Huaicheng Yan, Dan Zhang
Summary: This paper aims to study the sliding mode control problem for fuzzy singular perturbed systems in the presence of dynamic quantization and dynamic event-triggered protocol. A novel dynamic event-triggering protocol associated with the singular perturbation and the dynamic quantization parameters is proposed to decrease the communication load. A co-design scheme is addressed to determine the triggering and the quantization parameters. Additionally, fuzzy sliding mode and mode-based controllers are designed to ensure the boundedness of the closed-loop systems and the reachability of the specified sliding surface. Two simulation results are conducted to verify the rationality of the proposed scheme.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Computer Science, Artificial Intelligence
An Lin, Jun Cheng, Leszek Rutkowski, Shiping Wen, Mengzhuo Luo, Jinde Cao
Summary: This article studies the asynchronous fault detection filter problem for discrete-time memristive neural networks with a stochastic communication protocol and denial-of-service attacks. It proposes a solution using a dwell-time-based communication protocol and modeling of denial-of-service attacks with compensation strategy to ensure stability.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Lifei Xie, Jun Cheng, Yanli Zou, Zheng-Guang Wu, Huaicheng Yan
Summary: This work focuses on the load frequency control issue in interconnected multiarea power systems, considering dynamic behavior, random variations, and deception attacks. A novel dynamic-memory event-triggered protocol is developed to modulate transmission frequency and a memory-based asynchronous control strategy is proposed to reveal mode mismatches. Sufficient conditions for stochastic stability are established using Lyapunov theory. Simulation results demonstrate the effectiveness of the proposed approach.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Meng-Jie Hu, Ju H. H. Park, Jun Cheng, Lifei Xie
Summary: This article addresses the security H-8 fuzzy control problem for Takagi-Sugeno fuzzy semi-Markov switching systems with event-based strategy and hybrid cyber-attacks. A mode-dependent dynamic event-triggered mechanism is developed for each sub-system to efficiently use network resources and avoid unnecessary signal transmission. The article also considers a practical network environment subject to deception and denial-of-service attacks, and uses Bernoulli distributed variables to characterize the randomly occurring hybrid attacks. The proposed theoretical approach is demonstrated to be valid and superior through its application to the Duffing-Van der Pols oscillator.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Jun Cheng, Jiangming Xu, Ju H. H. Park, Michael V. V. Basin
Summary: This article focuses on load frequency control for interconnected multiarea power systems (IMAPSs) with nonhomogeneous sojourn probabilities (NSPs) and cyber-attacks. A generalized framework of NSPs is formulated to describe the dynamic behavior of IMAPSs. To govern variations of sojourn probabilities, a deterministic switching signal is introduced using the average dwell-time technique. An improved event-triggered protocol relevant to the dynamic quantizer parameter is presented to increase triggering intervals. Both denial-of-service and deception attacks, following Bernoulli distributions, are considered during information transmission. The mean-square exponential stability of the considered systems is established using the Lyapunov theory. The effectiveness of the obtained results is verified through a numerical example.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Computer Science, Information Systems
Hongguang Fan, Kaibo Shi, Yanan Xu, Rui Zhang, Shuai Zhou, Hui Wen
Summary: This article investigates the mu-synchronization issues of non-dissipative coupled networks with bounded disturbances and mixed delays. By designing a hybrid non-delayed and time-delayed impulsive controller, the article provides novel sufficient conditions for achieving mu-synchronization in nonlinear complex networks. The theoretical achievements in this article are more general than previous works as the constraints on network topology and impulsive intervals are relaxed.
Article
Computer Science, Information Systems
Wei Kang, Kaibo Shi, Jun Cheng
Summary: In this work, a prescribed-time second-order sliding mode (SOSM) controller is proposed for a class of nonlinear systems with asymmetric output constraints. The controller employs an asymmetric barrier Lyapunov function to handle the asymmetric constraints and a time-varying scaling function for prescribed-time convergence. Theoretical analysis shows that the proposed SOSM control scheme ensures prescribed-time stability without violating the asymmetric constraints, and the convergence time can be specified beforehand. An academic simulation example is provided to validate the effectiveness of the proposed control scheme.
Article
Chemistry, Multidisciplinary
Zihan Zhong, Shu Lv, Kaibo Shi
Summary: This paper proposes a new framework for time-series event prediction, which transforms the prediction problem into a labeling problem to capture the timing relationship between subsequence sets. The framework utilizes a sequence clustering algorithm to identify representative patterns, and uses XGBoost for feature selection. The preliminary prediction value is obtained using LSTM, and further refined using CRF. Experimental results show that this method improves prediction accuracy compared to other models.
APPLIED SCIENCES-BASEL
(2023)
Article
Mathematics, Interdisciplinary Applications
Wenhao Wang, Lanfeng Hua, Hong Zhu, Jun Wang, Kaibo Shi, Shouming Zhong
Summary: This work investigates the finite-time stability (FTS) issue for a class of inertial neural networks (INNs) with mixed-state time-varying delays, proposing a novel analytical approach. An improved discontinuous reliable control mechanism is developed, and novel sufficient criteria are established using FTS theorems to estimate the settling time with respect to a finite-time stabilization of INNs. The simulation results validate the theoretical results.
FRACTAL AND FRACTIONAL
(2023)
Article
Automation & Control Systems
Jun Cheng, Shan Liu, Huaicheng Yan, Zheng-Guang Wu, Dan Zhang
Summary: This paper focuses on the sliding mode control of switching singularly perturbed systems in the presence of dynamic-memory event-triggered protocol. By introducing a novel nonhomogeneous sojourn probability and a dynamic event-triggered protocol, a singularly-perturbed-parameter-based sliding mode controller is designed and its efficiency is verified through simulation examples.
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING
(2023)
Article
Automation & Control Systems
Wenhai Qi, Ning Zhang, Guangdeng Zong, Shun-Feng Su, Jinde Cao, Jun Cheng
Summary: This study investigates the asynchronous sliding-mode control for discrete-time networked hidden stochastic jump systems under semi-Markov kernel and cyber attacks. A hidden semi-Markov model is proposed to describe the asynchronous situation, and an asynchronous SMC scheme is designed for mean-square stability. The effectiveness of the proposed method is verified using an electronic throttle model.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Computer Science, Artificial Intelligence
Lidan Liang, Jun Cheng, Jinde Cao, Zheng-Guang Wu, Wu-Hua Chen
Summary: This article investigates the design issue of asynchronous proportional-integral observer (PIO) for singularly perturbed complex networks subject to cyberattacks. The stochastic disturbances of the inner linking strengths are characterized using a nonhomogeneous Markov switching process and multiple scalar Winner processes. By utilizing the Lyapunov theory, sufficient conditions are established to ensure that the augmented dynamics are mean-square exponentially ultimately bounded.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Computer Science, Theory & Methods
Irina Perfilieva, Shokrollah Ziari, Rahele Nuraei, Thi Minh Tam Pham
Summary: The proposed approach uses the F-transform to construct an operational matrix for solving the Volterra integral equation. The transformed form of the equation reduces to a system of linear equations with a triangular matrix, making the numerical method efficient and low computational. The paper provides proofs of convergence, estimation of computational complexity, and compares the results with other methods using test cases.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Yongliang Yang, Guilong Liu, Qing Li, Choon Ki Ahn
Summary: This paper proposes a novel type of Nussbaum function to handle the feedback control design problem with multiple unknown time-varying control coefficients. By separately compensating the unknown control coefficients and combining with the fixed-time stability theory, the issue of mutual cancellation is resolved and Lyapunov stability analysis becomes feasible. The theoretical discussions and simulation experiments demonstrate the effectiveness of the presented design for continuous-time stochastic nonlinear dynamical systems.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Yingfang Li, Xingxing He, Dan Meng, Keyun Qin
Summary: This paper presents an improved method for estimating the similarity between LR-type fuzzy numbers and compares it with existing methods. The proposed method overcomes the shortcomings of existing methods by considering the shape of LR-type fuzzy numbers.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Tong Kang, Leifan Yan, Long Ye, Jun Li
Summary: This note solves an open problem proposed in the paper Kang et al. (2023) [9] by demonstrating the linearity of set-valued pan-integrals based on a fuzzy measure and the operations pair (+, center dot) through the subadditivity of the fuzzy measure. It also provides an example to show the necessity of the subadditivity condition for the linearity of set-valued pan-integrals. Furthermore, it introduces the pan-integral of set-valued functions based on a fuzzy measure and pan-operations pair (circle plus, circle times).
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Marzieh Shamsizadeh, Mohammad Mehdi Zahedi, Mohamad Javad Agheli Goki
Summary: In this paper, we study a new generalization for the notion of fuzzy automata, called hesitant L-fuzzy automaton (HLFA). The mathematics framework for the theory of HLFA is presented. Moreover, the concepts of hesitant L-fuzzy behavior and inverse hesitant L-fuzzy behavior recognized by a type of HLFA are introduced. Additionally, a minimal complete accessible deterministic hesitant L-fuzzy automaton is presented for recognizing any hesitant L-fuzzy language, and an algorithm is proposed to determine the states of the minimal hesitant L-fuzzy automaton along with its time complexity.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
S. O. Mashchenko
Summary: This paper investigates a fuzzy matrix game with fuzzy sets of player strategies and proposes a method to construct a game value using Zadeh's extension principle and the approach to fuzzy matrix games. It is proved that the fuzzy sets of players strategies in a fuzzy matrix game generate a game value in the form of a type-2 fuzzy set on the real line.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Gustave Bainier, Benoit Marx, Jean-Christophe Ponsart
Summary: The Nonlinear Sector Approach (NLSA) is a method to construct Takagi-Sugeno (T-S) models that precisely represent nonlinear systems with bounded nonlinearities. This paper generalizes the NLSA to polytopic and smooth convex bounding sets, providing new ways to reduce the conservatism of TS representations with interdependent scheduling parameters. Various Linear Matrix Inequalities (LMI) criteria are also provided for stability analysis of these models.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Mi Zhou, Ya-Jing Zhou, Jian-Bo Yang, Jian Wu
Summary: This study proposes a new dissimilarity measure for basic probability assignments (BPAs) in the Dempster-Shafer evidence structure, considering both distance measure and conflict belief. Comparative analysis demonstrates the applicability and validity of the proposed measure, which is further applied to multi-source data fusion and large-scale group decision making.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Nicolas Madrid, Manuel Ojeda-Aciego
Summary: This paper continues the research on the properties of the f-indexes of inclusion and contradiction, and specifically demonstrates the relationship between the two concepts through the reformulated Aristotelian square of opposition.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Hanbiao Yang, Zhongqiang Yang, Taihe Fan, Lin Yang
Summary: This paper discusses the topological structures on fuzzy numbers and their related sets, and investigates the continuity of weighted mean maps with respect to these structures. An application of the results is provided, demonstrating their practical significance.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Narayan Choudhary, S. P. Tiwari, Shailendra Singh
Summary: This paper studies different compositions of (L-fuzzy) automata using category theory and introduces four different categories for the study. It shows that each category has specific properties and advances the existing categories in the field. The monoidal description of these categories enriches the fuzzy automata theory.
FUZZY SETS AND SYSTEMS
(2024)
Article
Computer Science, Theory & Methods
Lifeng Li, Qinjun Luo
Summary: In this study, we investigate monotone comparative statics under interval uncertainty. We introduce interval-valued supermodular functions and interval-valued quasisupermodular functions with respect to a partial order relation on intervals. Moreover, we derive some sufficient conditions for monotone comparative statics under interval uncertainty. We also apply these results to analyze the monotone comparative statics of interval games with strategic complements.
FUZZY SETS AND SYSTEMS
(2024)
