Journal
AUTOMATICA
Volume 136, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.110010
Keywords
Networked systems; Network-induced delays; Malicious packet dropouts; Lyapunov functional; H-infinity performance
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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.
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.
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