Resilient H∞ control of nonlinear microgrids subject to DoS and FDI attacks: An event-triggered method

The paper presents a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> fuzzy control strategy for nonlinear direct current (DC) microgrids, taking into consideration intermittent denial-of-service (DoS) jamming attacks, random false data injection (FDI) deception attacks, event-triggered communication mechanism (ETM), quantiser, noise, and mismatching premises. Firstly, using characteristics of attacks and the microgrid’s fuzzy model, a resilient ETM is introduced to reduce the data transmission rate, which also excludes the dropout phenomenon induced by attacks. Second, considering the impacts of hybrid attacks, ETM, noise, quantiser, and mismatching premises simultaneously, a fuzzy switched system model is derived. Third, by applying the piecewise Lyapunov theory, mean-square exponentially stable criteria that satisfy <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> performance are presented, which establish a quantitative relationship between the influencing factors and the stability of the system. In addition, sufficient conditions are presented for designing the switched fuzzy controller with mismatching premises. Finally, the effectiveness of the proposed methods is confirmed.