Resilient Fuzzy Control Synthesis of Nonlinear DC Microgrid via a Time-Constrained DoS Attack Model

In this article, the exponential stability (ES) and fuzzy control problem is addressed for DC microgrid (DC-MG) system based on T-S fuzzy model under denial-of-service (DoS) attacks. Considering that the time scale of networked T-S fuzzy model and parallel distributed compensation (PDC) fuzzy control rules is asynchronous, the T-S fuzzy model of the DC-MG system is established. More importantly, in order to reflect the effect of DoS attacks, a time-constrained DoS attack (TCDA) model, which only characterizes the duration of DoS attacks, is established compared with the classic DoS attack model. Then, a switched DC-MG fuzzy system model based on state-feedback control law and TCDA model is established. Furthermore, the time-varying Lyapunov function related to attack parameters is used to ensure the ES of the system. Besides, a fuzzy-dependent switching control strategy is designed in terms of linear matrix inequalities (LMIs). Finally, through a simulation example, the effectiveness of the proposed control strategy is verified Note to Practitioners —As a typical example of cyber-physical systems, nonlinear DC-MG system is vulnerable to malicious cyber attacks (such as DoS attack). The existing DoS attack models are usually characterized by the duration and frequency of attacks. In this paper, we adopt a new approach to describe the DoS attack model using only attack duration characteristics. This makes the DoS attack model more general. We then propose a switching fuzzy control algorithm subject to intermittent DoS attacks and derive sufficient conditions for tolerable duration of attack. This can allow practitioners to know under what conditions the ES of the attacked system can still be guaranteed. The effectiveness of theoretical analysis results is verified by simulation experiments. In the future research, we will address the design of fuzzy control algorithms for DC-MG under various cyber attacks.