Secure Consensus Control of Two-timescale Networks Subject to Sequential Scaling Attacks

Abstract

This paper investigates secure consensus of two-timescale networks subject to a sequential scaling attack, in which constraints on the attack duration and frequency are given. Under this attack framework, a ε-dependent controller in a distributed manner is proposed. By virtue of the ε-dependent Lyapunov function, stability of the error system is analyzed and sufficient conditions for secure consensus are obtained. Furthermore, the corresponding upper bound ε <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">max</inf> is derived, which means secure consensus of two-timescale networks is ensured for ε ∈ (0, ε <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">max</inf> ]. Finally, the effectiveness of the proposed secure control protocol is validated by a numerical simulation.