Finite-time sliding mode secure control with dynamic-memory event-triggered for semi-Markov jump systems subject to hybrid network attacks and general transition probabilities

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-15 DOI:10.1016/j.cnsns.2026.109658

Yajing Li, Dan Peng, Yuechao Ma

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引用次数: 0

Abstract

This study focuses on the issue of memory-based dynamic event-triggered secure sliding mode control (SMC) for semi-Markov jump systems (S-MJSs) under false data injection (FDI) attacks and aperiodic denial-of-service (DoS) attacks. Firstly, a mode-dependent state observer is designed to obtain system state estimates. By incorporating historical transmission data and auxiliary dynamic variables into a dynamic-memory event-triggered mechanism (DMETM), the transmission efficiency can be optimized and bandwidth resources can be saved. Secondly, an observer-based SMC law is formulated based on event-triggered state information to guarantee that the system state trajectory can achieve finite-time reachability. Moreover, by constructing a mode-dependent piecewise Lyapunov-Krasovskii functional (LKF), the sufficient conditions are derived for the stochastic finite-time bounded (SFTB) realization of S-MJSs with H_∞ performance under various network attacks and in the presence of uncertain or unknown transition probabilities (TPs). Through the designed collaborative scheme, the triggering parameters, controller and observer gain matrices can be derived. At last, two simulation examples are employed to verify the validity and practicality of the introduced approach.

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受混合网络攻击和一般转移概率影响的半马尔可夫跳跃系统的动态记忆事件触发有限时间滑模安全控制

本文研究了半马尔可夫跳变系统（S-MJSs）在虚假数据注入（FDI）攻击和非周期性拒绝服务（DoS）攻击下基于记忆的动态事件触发安全滑模控制（SMC）问题。首先，设计了依赖于模式的状态观测器来获得系统状态估计。通过将历史传输数据和辅助动态变量整合到动态记忆事件触发机制（DMETM）中，可以优化传输效率，节省带宽资源。其次，基于事件触发状态信息，构造了基于观测器的SMC律，保证系统状态轨迹达到有限时间可达性；此外，通过构造一个模式相关的分段Lyapunov-Krasovskii泛函（LKF），推导了在各种网络攻击和存在不确定或未知转移概率（TPs）的情况下，具有H∞性能的s - mjs的随机有限时间有界（SFTB）实现的充分条件。通过设计的协同方案，推导出触发参数、控制器和观测器增益矩阵。最后，通过两个仿真实例验证了所提方法的有效性和实用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.