Hybrid Event-Triggered $H\infty$ Control for Networked Control Systems Under Denial of Service Attacks

This paper proposed a novel hybrid event-triggered strategy (HETS) and an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H\infty$</tex-math></inline-formula> control method for networked control systems (NCSs). The NCSs are vulnerable to denial of service (DoS) attacks and bandwidth-constrained. Firstly, by considering the malignancy of attacks and defense of network, the DoS attacks are divided into successful attacks and failed attacks. Meanwhile, a more flexible HETS is presented to counter intermittent DoS attacks. Secondly, the effects of DoS attacks, network-induced delays, and the proposed HETS are investigated in NCSs. Subsequently, a stability criterion is derived under the constraint of the maximum allowable number of successfully lost packets due to DoS attacks. The expected <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H\infty$</tex-math></inline-formula> control performance can be ensured in parallel with saving limited communication resources. At last, the validity of the presented approach is verified by a networked inverted pendulum on a cart.