Temporal convex combination-based secure distributed estimation against cyberattacks and noisy input

This paper proposes a new secure distributed estimation for cyber-physical systems against adversarial attacks with noisy input. To mitigate the effect of attacks, a novel distributed attack detection based on a reliable reference estimation obtained by temporal convex combination is proposed. Furthermore, for more effective and robust performance, an adaptation rule to adjust convex combination weights is presented, in which the generalized correntropy method with nonlinear loss function and stochastic gradient descent are utilized. Besides, to eliminate input noise, a bias-compensation method in local adaptation of the secure distributed estimation is proposed. Simulations show superior dynamic and real-time adaptability of the proposed algorithm under complex attacking scenarios.