Protocol-Based security control for fuzzy systems with nonhomogeneous sojourn probabilities

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-28 DOI:10.1016/j.cnsns.2026.109803

Yonghong Chen , Shoucheng Yuan , Xiaoqiu Lv , Jun Cheng , Jinde Cao

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引用次数: 0

Abstract

This paper explores probability-based dynamic event-triggered security control for fuzzy systems with nonhomogeneous sojourn probabilities (NSPs). A novel framework for NSP-based fuzzy systems is developed using a deterministic signal to accurately capture dynamic behavior, thereby overcoming the challenge of estimating mode transition probabilities. Considering the stochastic nature of network-induced delays, a new probability-based dynamic event-triggered protocol is proposed, where the threshold function is mode-dependent and adapts probabilistically. Additionally, to address delay segmentation and deception attacks effectively, a flexible protocol-based fuzzy control law is introduced, leveraging probability distribution information. Finally, the theoretical findings are validated through simulation experiments using a mass-spring mechanical model, confirming their effectiveness and practical applicability.

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基于协议的非齐次暂居概率模糊系统安全控制

研究了非齐次逗留概率模糊系统的基于概率的动态事件触发安全控制。提出了一种新的基于nsp的模糊系统框架，利用确定性信号准确捕获动态行为，从而克服了估计模式转移概率的挑战。考虑到网络延迟的随机性，提出了一种新的基于概率的动态事件触发协议，该协议的阈值函数依赖于模式并具有概率适应性。此外，为了有效地解决延迟分割和欺骗攻击，引入了一种灵活的基于协议的模糊控制律，利用概率分布信息。最后，通过质量-弹簧力学模型的仿真实验验证了理论结果，验证了理论结果的有效性和实用性。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.