Closed-loop design of fault detection for networked non-linear systems with mixed delays and packet losses

• Published in: IET control theory & applications Vol. 7; no. 6; pp. 858 - 868
• Main Authors: Feng, Jian, Wang, Shenquan, Zhao, Qing
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.04.2013; John Wiley & Sons, Inc
• Subjects: asymptotic stability; Bernoulli distributed white sequences; closed loop systems; closed‐loop design; Conditional probability; conditional probability distributions; control system synthesis; controller‐to‐actuator packet loss; Delay; delays; Design engineering; discrete delays; discrete systems; Dynamical systems; exponential stability; Fault detection; fault diagnosis; FDF; H∞ model‐matching problem; H∞ model‐matching problem; infinite distributed delays; mean‐square sense; mixed delays; networked control systems; networked nonlinear systems; nonlinear control systems; Nonlinear dynamics; nonlinear perturbation; observer‐based fault detection filter; Packets (communication); Perturbation methods; perturbation techniques; random packet loss; residual generator; sensor‐to‐controller packet loss; statistical distributions; perturbation techniques; fault diagnosis; discrete delays; H∞ model-matching problem; discrete systems; Bernoulli distributed white sequences; infinite distributed delays; FDF; asymptotic stability; statistical distributions; random packet loss; exponential stability; observer-based fault detection filter; mixed delays; controller-to-actuator packet loss; closed-loop design; H∞ model-matching problem; residual generator; mean-square sense; sensor-to-controller packet loss; nonlinear perturbation; control system synthesis; conditional probability distributions; closed loop systems; networked nonlinear systems; delays; nonlinear control systems; networked control systems
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2012.0987

This study is concerned with the problem of fault detection (FD) for networked control systems with discrete and infinite distributed delays subject to random packet losses and non-linear perturbation. Both sensor-to-controller and controller-to-actuator packet losses are modelled as two different mutually independent Bernoulli distributed white sequences with known conditional probability distributions. By utilising an observer-based fault detection filter (FDF) as a residual generator, the FD for networked non-linear systems with mixed delays and packet losses is formulated as an H∞ model-matching problem. Attention is focused on designing the FDF in the closed-loop system setup such that the estimation error between the residuals and filtered faults is made as small as possible and at the same time the closed-loop networked non-linear system is exponentially stable in the mean-square sense. To show the superiority and effectiveness of this work, two numerical examples are presented.