A transmission scheme for secure estimation of cyber-physical systems against malicious attack

Abstract

This paper investigates the secure state estimation problem of the cyber-physical systems (CPSs) in the presence of malicious attacks. Considering the destructiveness and stealthiness of the attacker, a novel stochastic transmission scheme, in which the repeater generates transmission data by randomly combining some measurement values, is proposed to ensure the effectiveness of the attack detector. A filter equipped with the ${\chi }^2$ detector and the stochastic transmission scheme is proposed to conduct the secure state estimation. The attack probability condition of the estimation error being mean-square bounded is given, which indicates that stochastic transmission scheme has a limited effect on the filter. Some numerical simulations are given to illustrate the effectiveness of the proposed transmission scheme.

Keywords:

• Cyber-physical systems
• malicious attack
• state estimation
• attack detector
• stochastic transmission scheme

Disclosure statement

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

Additional information

Funding

This work is supported by National Natural Science Foundation (NNSF) of China under Grant 61973082 and 62233003, the Natural Science Foundation of Jiangsu Province of China under Grant BK20202006.