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Quantized State Feedback Stabilization of Nonlinear Systems under Denial-of-Service

2021/04/09 by Mingming Shi, Shuai Feng, Shi, Mingming +3 · 1 citation
Computer Science · Engineering · #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Network Security and Intrusion Detection #Optimization and Control (math.OC) #Smart Grid Security and Resilience #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2104.04333

openalex publication_date 2021/04/09 · openalex created_date 2022/08/27 · openalex updated_date 2026/07/28

Abstract

This paper studies the resilient control of networked systems in the presence of cyber attacks. In particular, we consider the state feedback stabilization problem for nonlinear systems when the state measurement is sent to the controller via a communication channel that only has a finite transmitting rate and is moreover subject to cyber attacks in the form of Denial-of-Service (DoS). We use a dynamic quantization method to update the quantization range of the encoder/decoder and characterize the number of bits for quantization needed to stabilize the system under a given level of DoS attacks in terms of duration and frequency. Our theoretical result shows that under DoS attacks, the required data bits to stabilize nonlinear systems by state feedback control are larger than those without DoS since the communication interruption induced by DoS makes the quantization uncertainty expand more between two successful transmissions. Even so, in the simulation, we show that the actual quantization bits can be much smaller than the theoretical value.

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