Finite‐time l2−l∞ filtering for persistent dwell‐time switched piecewise‐affine systems against deception attacks

Zhen Mei, Ting Fang and Hao Shen

Applied Mathematics and Computation, 2022, vol. 427, issue C

Abstract: In this paper, the finite-time l2−l∞ filtering problem is investigated for discrete-time switched piecewise-affine systems against deception attacks, where switching signals are subject to the persistent dwell-time strategy. Considering the effect of deception attacks, a set of random variables obeying the Bernoulli distribution is used to describe the probability of false data injection between the plant and the filter. Based on the partition of state space with different operating regions, the objective of this paper is to design a mode-dependent and region-dependent filter such that the filtering error system is finite-time bounded and satisfies an l2−l∞ performance. By resorting to Lyapunov stability theory and finite-time analysis theory, some sufficient conditions are proposed to obtain such a desired filter. Finally, the availability of the proposed approach is demonstrated by two simulation examples.

Keywords: Finite-time filtering; Persistent dwell-time; Piecewise-affine systems; Deception attacks (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322001722

DOI: 10.1016/j.amc.2022.127088

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