Sliding Mode Control Against False Data Injection Attacks in DC Microgrid Systems

In this letter, the problem of false data injection (FDI) attacks is investigated for dc microgrid systems, which involves Markovian jumping parameters and Lévy noises. Moreover, an adaptive sliding mode controller is constructed to assure the stability of such dc microgrid systems. First, the dynamical equations of dc microgrid systems are proposed, which consider Lévy noises and Markovian jumping parameters. Meanwhile, the impact of FDI attacks is taken into account in dc microgrid systems. Next, the sliding mode motion dynamic of dc microgrid systems can be attained by designing a sliding mode surface (SMS) in the form of integral. Several sufficient conditions are proposed to guarantee the asymptotic stability for dc microgrid systems. Then, a novel sliding mode control (SMC) law is put forward to drive systems to reach and maintain a given sliding mode surface. In addition, the solution of linear matrix inequalities can determine undetermined parameters in the SMC and SMS. Ultimately, a practical example is demonstrated to prove that the proposed adaptive sliding mode controller can ensure the stability of the dc microgrid system under FDI attacks.