Dynamic Event-Triggered H ∞ Filtering for NCSs Under Multiple Cyber-Attacks

Abstract

This article considers the dynamic event-triggered <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$</tex-math> </inline-formula> filtering problem for networked control systems (NCSs) under multiple cyber-attacks. By taking into account both denial-of-service (DoS) and deception attacks (DAs), a novel dynamic event-triggering mechanism (DETM) and the corresponding event-triggered filter are presented. The proposed DETM further reduces data transmissions and also guarantees the exclusion of Zeno behavior. By resorting to a piecewise Lyapunov functional (PLF), sufficient conditions are derived to ensure that the resulting filtering error system is globally stochastically exponentially stable with the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal{H}_{\infty}$</tex-math> </inline-formula> performance in the presence of both DoS and DAs. A simulation example of a tunnel diode circuit system is displayed to illustrate the validity of the proposed event-triggered filter under multiple cyber-attacks.