Non-Fragile H∞ Controller Design for Networked Systems Under False Data Injection Attacks and Consecutive Packet Dropouts

Abstract

In this paper, the non-fragile H∞ controller design problems for the networked control systems with false data injection attacks and packet losses are investigated. A non-fragile H∞ controller is utilized to render system tolerant or insensitive to external disturbances or random factors. First, the controlled system is converted into a discrete-time system by discrete-time approach. Subsequently, with the stochastic analysis technology and the law of total expectation, the stability condition of the networked control system is derived. Then, the desired non-fragile H∞ controller is obtained, with which the controlled system is exponentially mean-square stable with a desired H∞ performance. Finally, a numerical simulation and an aircraft flight control system are exploited to confirm the validity and practicability of the designed approach.