Secure Aperiodic Sampling Control for Micro-Grids Under Abnormal Deception Cyber Attacks

Abstract

This paper studies the secure aperiodic sampling control issue for Micro-Grids(MGs) under abnormal deception cyber attacks (ADCAs). Firstly, a novel relaxed condition that depends on the time delay (TD) is constructed, further reducing the existing constraint condition. Secondly, a new bilateral delay-dependent looped-functional (BDDLF) <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$V_{c}(x_{t})$ </tex-math></inline-formula> is developed. Thirdly, based on the characteristics of the aperiodic sampling control, another improved BDDLF <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$V_{d}(x_{t})$ </tex-math></inline-formula> is developed for acquiring more state information. Furthermore, an optimized control algorithm is designed using proper integral inequalities and the convex combination method. Then, a new secure aperiodic sampled data (SASD) controller under ADCAs is achieved to guarantee real power-sharing between distributed generators (DGs) and energy storage systems (ESSs) in MG. Finally, simulation experiments are carried out on MG to verify the effectiveness and feasibility of the designed control algorithm.