Attack-resilient asynchronous state estimation of interval type-2 fuzzy systems under stochastic protocols

Abstract

This article addresses the state estimator design issue of interval type-2 (IT2) fuzzy systems under deception attacks. The permission of sensors to access the network is determined by a stochastic protocol obeying Markov scheduling rules. An attack-resilient IT2 fuzzy state estimator is proposed to mitigate the adverse effect of deception attacks on estimation performance. By using the known bounds of system membership functions and introducing two new weighting functions, the MFs of fuzzy state estimator are reconstructed. A hidden Markov model is employed to describe the asynchronous behaviour of scheduling rules between the sensor and the estimator. Sufficient conditions are derived to ensure the ultimate boundedness of estimation error. Finally, a numerical example demonstrates the applicability of the proposed attack-resilient asynchronous state estimation method.

Keywords:

• Interval type-2 fuzzy model
• state estimation
• deception attacks
• stochastic protocols

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data sharing is not applicable to this article as no new data were generated or analysed in this study.

Additional information

Funding

This work was supported in part by the Guangdong Basic and Applied Basic Research Foundation [grant numbers 2023A1515110135 and 2022A1515110302], in part by the National Natural Science Foundation of China [grant numbers 62333006, 62322310, 62203129, and 62273101], and in part by the Project of Department of Education of Guangdong Province [grant number 2023KTSCX129].