Xiaoke Tang , Dian Zhang , Jun Cheng , Dan Zhang , Wenhai Qi , Yu Fu
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Dual-rate security control for fuzzy singularly perturbed systems with multi-channel DoS attacks
This paper addresses the dual-rate security control for fuzzy singularly perturbed systems in the presence of denial of service (DoS) attacks. Unlike the well-known single-rate event-triggered mechanism, the dual-rate event-triggered mechanism separates the triggering conditions for fast and slow state components, optimizing data transmission and significantly reducing communication overhead. Differentiating from the Markov chain, the nonhomogeneous sojourn probability information is adopted to accurate characterize the stochastic occurrence of multi-channel DoS attacks. A novel dual-rate control strategy is also proposed, utilizing different sampling rates for fast and slow states, ensuring control effectiveness while minimizing network burden. In virtue of Lyapunov theory, the analysis for stochastic stability and conditions for controller synthesis are derived. Eventually, the effectiveness and superiority of the proposed methodology is verified through two simulation examples.
期刊介绍:
Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies.
In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.