Event-triggered stabilization of linear systems under quantization and denial-of-service attacks

This article investigates the stabilization of linear systems under event-triggered sampling, where the feedback signals are transmitted through a band-limited network suffering from denial-of-service (DoS) attacks. We aim to reduce the average bit rate for stabilization while preserving the system's resilience against DoS. First, we consider the simpler case without transmission delay and present an event-triggered control strategy to stabilize the concerned system by transmitting a finite number of bits. The average bit rate in a long time is zero in that case. Then we consider the joint effects of transmission delay and DoS attacks, and develop a variable bit rate quantization strategy and a periodic event-triggering strategy. The proposed strategies can reduce the average bit rate compared with time-triggered sampling methods. A numerical example is taken to verify the effectiveness of the proposed quantization and event-triggering strategies.