Robust Filtering for a Class of Networked Nonlinear Systems With Switching Communication Channels

• Published in: IEEE transactions on cybernetics Vol. 47; no. 3; pp. 671 - 682
• Main Authors: Zhang, Lixian, Yin, Xunyuan, Ning, Zepeng, Ye, Dong
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.03.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Attenuation; Channel switching; Communication; Communication channels; Data transmission; Delays; Discrete time systems; Dynamical systems; Filter design (mathematics); Fuzzy systems; Markov chains; multi-channel communication; network control systems; Nonlinear dynamics; Nonlinear systems; robust filter design; Robustness; Robustness (mathematics); Sensors; Switches; Switching; Symmetric matrices; Takagi–Sugeno (T–S) fuzzy systems
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2016.2523811

This paper is concerned with the problem of robust filter design for a class of discrete-time networked nonlinear systems. The Takagi-Sugeno fuzzy model is employed to represent the underlying nonlinear dynamics. A multi-channel communication scheme that involves a channel switching phenomenon described by a Markov chain is proposed for data transmission. Two typical communication imperfections, network-induced time-varying delays and packet dropouts are considered in each channel. The objective of this paper is to design an admissible filter such that the filter error system is stochastically stable and ensures a prescribed disturbance attenuation level bound. Based on the Lyapunov-Krasovskii functional method and matrix inequality techniques, sufficient conditions on the existence of the desired filter are obtained. A numerical example is provided to illustrate the effectiveness of the proposed design approach.