Fault detection for saturated nonlinear system subject to redundant channel and additive time‐varying delays

• Published in: International journal of adaptive control and signal processing Vol. 38; no. 11; pp. 3540 - 3560
• Main Authors: Wu, Zhihui, Zhao, Xue, Ma, Siteng, Chen, Dongyan
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.11.2024
• Subjects: additive time‐varying delays; Fault detection; finite‐time stability; Linear matrix inequalities; Nonlinear systems; packet dropouts; redundant channel; sensor saturation; Stability criteria; Time measurement
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.3889

Under the influence of sensor saturation and packet dropout, this paper is concerned with the fault detection (FD) problem for a class of nonlinear systems with two additive time‐varying delay components. In the addressed measurement model, the sensor is assumed to have two communication channels, which can contribute to improving the probability of successfully delivering the measurements. A FD filter is designed to generate residual signals, and the sufficient criteria are established to ensure the stochastic finite‐time stability (SFTS) of the residual system with H∞$$ {H}_{\infty } $$ performance constraint by constructing new Lyapunov‐Krasovskii functionals. Based on the established criteria, the explicit expression of the desired FD filter is obtained via solving a set of linear matrix inequalities (LMIs). Finally, the usefulness of the proposed FD scheme is verified by a simulation example.