Dynamic output feedback control for CPSs under transmission delays and sparse malicious attacks.

In this paper, we study a class of discrete-time cyber-physical systems (CPSs) with transmission delays and sparse malicious attacks on both input and output transmission channels, and present design methods for secure observer and controller. First, the states and sparse malicious attacks of the original system are reorganized into the states of the new system obtained by an improved augmentation method (rather than a singular augmentation method). Then, based on the new system, the states and attacks can be reconstructed simultaneously by the designed Luenberger-like observer. Furthermore, a novel dynamic output feedback (DOF) controller is proposed using the estimated values of the attacks, and a cone complementarity linearization (CCL) algorithm is designed to obtain the controller gains. The results show that the closed-loop system is stable in the sense of Lyapunov that both the estimation errors and the original system states will converge to a small neighborhood of the origin. In addition, the correlation results without delay are given. Finally, two examples are given to illustrate the effectiveness and superiority of the proposed method. • In addition to the sparse attacks that occur in both input and output channels, this paper also considers the transmission delays in both channels. • This paper introduces a multi-delay dynamic output feedback controller that transforms the inherently unstable original system into one that ultimately achieves Lyapunov stability. • In the case without transmission delay, compared with the results in previous researches, the proposed method of designing the observer and controller separately can reduce the difficulty of solving observer gains and controller gains, and enhance the feasibility. [ABSTRACT FROM AUTHOR]