Robust fault detection filter design for interconnected systems subject to packet dropouts and structure changes

• Published in: IET control theory & applications Vol. 12; no. 3; pp. 368 - 376
• Main Authors: Li, Jian, Wu, Chun-Yu, Su, Qingyu
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 13.02.2018
• Subjects: asymptotic stability; convex linear matrix inequalities; disconnected interconnections; event‐driven switching; fault diagnosis; FD system; globally exponentially stable system; independent subsystems; interconnected systems; linear matrix inequalities; measurement channel; mode‐dependent average dwell time; packet dropouts; Research Article; robust fault detection filter design; structure changes; switched scheme; time‐varying systems; time-varying systems; fault diagnosis; independent subsystems; robust fault detection filter design; measurement channel; mode-dependent average dwell time; disconnected interconnections; event-driven switching; packet dropouts; asymptotic stability; linear matrix inequalities; globally exponentially stable system; convex linear matrix inequalities; structure changes; switched scheme; FD system; interconnected systems
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2017.0838

The problem of robust fault detection (FD) filter design for interconnected systems, and the problems of both packet dropouts and disconnected interconnections in these subsystems are studied. By modelling instances of disconnected interconnections among subsystems and packet dropouts in the measurement channel into independent subsystems, this study proposes a switched scheme that combines mode-dependent average dwell time with event-driven switching. A filter in which the FD system is exponentially stable and achieves a weighted $L_2$L2 performance can be derived from the optimal method of convex linear matrix inequalities. An example is given to demonstrate the effectiveness of the proposed method.