Extended dissipative filter design for discrete-time interconnected fuzzy systems with time-varying delays subject to cyber attacks

• Published in: Applied mathematics and computation Vol. 453; p. 128071
• Main Authors: Sanjay, K., Vijay Aravind, R., Balasubramaniam, P.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.09.2023
• Subjects: Cyber attacks; Extended dissipative filter; Interconnected systems; Takagi-Sugeno fuzzy; Time-varying delays; Extended dissipative filter; Cyber attacks; Takagi-Sugeno fuzzy; Time-varying delays; Interconnected systems
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2023.128071

•The extended dissipative theory in the form of a filtering problem for the discrete time nonlinear interconnected systems subject to cyber-attacks via fuzzy model is discussed.•To ensure the extended dissipativity analysis of the filtering error system, adequate delay-dependent stabilization conditions are obtained in the form of linear matrix inequalities.•These linear matrix inequalities are obtained by utilizing the reciprocally convex combination approach and summation inequality.•The double inverted pendulum model is chosen to demonstrate the validity of theoretical findings and practical applicability of the proposed model. This article addresses the problem of extended dissipative filtering design for the class of nonlinear interconnected systems with time-varying delays under the cyber attacks. The dynamics of proposed interconnected systems (ISs) is modeled by the Takagi-Sugeno fuzzy (TSF) IF-THEN rules. The relevant practical model is used to describe the network connectivity between the plant and the filter. In addition, to develop the filter for nonlinear systems in more practical sense, the sensor delays and the influence of cyber attacks are taken into account during the signal transmission. In order to verify that the developed closed-loop system is asymptotically stable with extended dissipative, sufficient conditions are derived by constructing the delay-dependent Lyapunov-Krasovskii functional (LKF) and employing the summation inequalities through the linear matrix inequalities (LMIs) approach. The outcomes of theoretical results can be used to analyze the various performances like H∞ performance, (Υ1,Υ2,R)−α−dissipativity, passivity, mixed H∞/passivity, and l2−l∞ performance in a single framework. At last, a numerical example is presented to demonstrate the proposed method and to validate the theoretical findings in a practical sense.