Co-Design of New Fuzzy Switching-Type State-FDI Estimation and Attack Compensation for Dc Microgrids Under Hybrid Attacks

This article studies the co-design of new fuzzy switching-type state-FDI estimation and attack compensation control for dc microgrid (dc-MG) systems under hybrid attacks of denial of service (DoS) and false data injection (FDI). First, for networked nonlinear dc-MG systems, a co-design system model under hybrid attacks is established based on the time-constrained DoS attack model with sleep/active period ranges of attack signal and an FDI attack compensation controller. Then, using the time-varying Lyapunov function method that depends on attack parameters, the exponential stability criterion of dc-MG system under hybrid attacks is derived, which realizes the decoupling of co-design. More importantly, a co-design method of fuzzy state-FDI estimation and attack compensation control based on convex optimization technique is proposed. Furthermore, a set of switching modes are designed according to the fuzzy membership functions. Different gain matrices of attack compensation controller and state observer are designed under specific modes to reduce the conservatism of the co-design method. Finally, an example is given to verify the validity of two different theoretical results.