A novel approach to H8 performance analysis of discrete-time networked systems subject to network-induced delays and malicious packet dropouts

This paper is concerned with the H-infinity performance of discrete-time networked systems subject to network-induced delays and malicious packet dropouts. First, the introduction of a data packet processor enables us to calculate both network-induced delays and the number of consecutive malicious packet dropouts explicitly. Second, a novel Lyapunov functional is constructed, whose forward difference along with the trajectory of the closed-loop system is estimated as a quartic polynomial. A class of necessary and sufficient conditions on such an inequality are established by using the Finsler lemma. By employing the Lyapunov method, a bounded real condition is formulated, which depends on the upper bound of network-induced delays and the maximum number of consecutive malicious packet dropouts. Therefore, their effects on H-infinity performance can be investigated simultaneously. Finally, the effectiveness of the proposed method is shown through an inverted pendulum system. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper focuses on the H-infinity performance of discrete-time networked systems in the presence of network-induced delays and malicious packet dropouts. The introduction of a data packet processor allows for explicit calculation of both network-induced delays and the number of consecutive malicious packet dropouts. A novel Lyapunov functional is constructed and necessary and sufficient conditions for a certain inequality are established using the Finsler lemma. By employing the Lyapunov method, a bounded real condition is formulated to investigate the effects of network-induced delays and malicious packet dropouts on H-infinity performance. The proposed method is validated through an inverted pendulum system.