Quantized control for switched systems suffered by deception attacks and unknown disturbance

The purpose of this paper is designing a feedback controller based on quantized sampled data to stabilize a continuous-time switched system affected by unknown disturbance and deception attacks. Suppose that the switch is slow enough in the sense of dwell-time and average dwell-time, and the attacker's energy is limited by restraining the number and duration of deception attacks, we design a communication and control strategy based on mode switching and data tampering. By approximating the reachable set for the stabilizing stage and searching stage, respectively, we establish the increasing/decreasing rate of Lyapunov function under different cases. On this basis, the sufficient conditions which constrain average dwell-time and sampling period are obtained to ensure the exponential decay and practical stability of the closed-loop system. Furthermore, we also verify that the searching stage can be recovered within an unknown limited time under the influence of unknown disturbance and deception attacks. Two-tank system is adopted at last to show the effectiveness of the proposed algorithm framework.