Event-Triggered Fault Detection of Nonlinear Networked Systems

• Published in: IEEE transactions on cybernetics Vol. 47; no. 4; pp. 1041 - 1052
• Main Authors: Li, Hongyi, Chen, Ziran, Wu, Ligang, Lam, Hak-Keung, Du, Haiping
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.04.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Cybernetics; Discrete time systems; Event-triggered scheme; Fault detection; Functions (mathematics); Fuzzy systems; Generators; Mathematical analysis; nonlinear networked systems; Nonlinear systems; polynomial fuzzy model; Polynomials; Stability analysis; sum of squares (SOSs); Taylor series
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2016.2536750

This paper investigates the problem of fault detection for nonlinear discrete-time networked systems under an event-triggered scheme. A polynomial fuzzy fault detection filter is designed to generate a residual signal and detect faults in the system. A novel polynomial event-triggered scheme is proposed to determine the transmission of the signal. A fault detection filter is designed to guarantee that the residual system is asymptotically stable and satisfies the desired performance. Polynomial approximated membership functions obtained by Taylor series are employed for filtering analysis. Furthermore, sufficient conditions are represented in terms of sum of squares (SOSs) and can be solved by SOS tools in MATLAB environment. A numerical example is provided to demonstrate the effectiveness of the proposed results.