Secure filtering for stochastic non-linear systems under multiple missing measurements and deception attacks

• Published in: IET control theory & applications Vol. 12; no. 4; pp. 515 - 523
• Main Authors: Yuan, Huanhuan, Xia, Yuanqing
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 06.03.2018
• Subjects: design methodology; filtering theory; inequality constraints; insecure networks; multiple channel attack model; multiple missing measurements; nonlinear control systems; numerical simulations; power grid system; random deception attacks; Research Article; secure filtering gains; secure filtering problem; stochastic analysis; stochastic systems; sufficient conditions; uncertain stochastic nonlinear systems; uncertain systems; φ‐level security; design methodology; secure filtering problem; numerical simulations; random deception attacks; inequality constraints; uncertain systems; filtering theory; insecure networks; multiple missing measurements; secure filtering gains; power grid system; sufficient conditions; multiple channel attack model; nonlinear control systems; stochastic systems; uncertain stochastic nonlinear systems; φ-level security; stochastic analysis
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2017.0868

In this study, a secure filtering problem is investigated for a class of uncertain stochastic non-linear systems. A novel multiple channel attack model is established to account for the missing measurements and random deception attacks, which are assumed to occur in the insecure networks. The concept of $\varphi $φ-level security is proposed to quantify the degree of security. With the techniques of stochastic analysis, sufficient conditions are derived to provide the filtering systems $\varphi $φ-level security. Moreover, secure filtering gains are characterised by the solution to a set of inequality constraints. Numerical simulations on a power grid system are exploited to illustrate the effectiveness of the proposed design methodology.