A novel approach to H∞ performance analysis of discrete-time networked systems subject to network-induced delays and malicious packet dropouts. (February 2022)

• Record Type: Journal Article
• Authors: Zhang, Xian-Ming; Han, Qing-Long; Ge, Xiaohua
• Is Part Of: Automatica. Volume 136(2022)
• Publication Date: 2022-02
• Subjects: Networked systems -- Network-induced delays -- Malicious packet dropouts -- H∞ performance -- Lyapunov functional; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.110010
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the H ∞ 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 ∞ performance can be investigated simultaneously. Finally, the effectiveness of the proposed method is shown through an inverted pendulum system.