Robust fault reconstruction via learning observers in linear parameter-varying systems subject to loss of actuator effectiveness

• Published in: IET control theory & applications Vol. 8; no. 1; pp. 42 - 50
• Main Authors: Jia, Qingxian, Chen, Wen, Zhang, Yingchun, Chen, Xueqin
• Format: Journal Article
• Language: English
• Published: Stevenage The Institution of Engineering and Technology 01.01.2014; John Wiley & Sons, Inc
• Subjects: actuator effectiveness; actuator fault reconstruction; Actuators; attitude control; dynamic error system; external disturbances; fault alarm; fault detection; fault diagnosis; fault signal reconstruction; H∞ control; H∞ techniques; learning observers; learning systems; linear matrix inequalities; linear systems; Lyapunov methods; Lyapunov stability theory; observers; polytopic linear parameter‐varying systems; polytopic LO convergence; polytopic LO stability; robust control; robust fault reconstruction; satellite system; standard linear‐matrix‐inequality techniques; system state estimation; systematic design; time‐varying faults; fault diagnosis; actuator effectiveness; fault detection; fault signal reconstruction; H∞ control; systematic design; dynamic error system; polytopic LO convergence; satellite system; time-varying faults; actuators; linear matrix inequalities; system state estimation; H∞ techniques; attitude control; robust control; external disturbances; Lyapunov stability theory; polytopic linear parameter-varying systems; fault alarm; learning observers; standard linear-matrix-inequality techniques; linear systems; learning systems; actuator fault reconstruction; polytopic LO stability; robust fault reconstruction; observers; Lyapunov methods
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2013.0417

In this study, the problem of robust fault reconstruction in polytopic linear parameter-varying systems, subject to loss of actuator effectiveness and external disturbances, is investigated using a learning observer (LO). A polytopic LO is proposed to achieve system state estimation and actuator fault reconstruction at the same time. The proposed LO is sensitive to incipient faults because no chattering is induced. Both constant and time-varying faults can be accurately reconstructed and detected. Moreover, simultaneous fault reconstruction and detection can be performed using a single LO because the reconstructed fault signal can be employed as a fault alarm. The stability and convergence of polytopic LO and the uniformly ultimately boundedness of the dynamic error system is proved using Lyapunov stability theory and H∞ techniques. A systematic design of the LO is effectively solved using standard linear-matrix-inequality techniques. At last, simulation results on a satellite system for attitude control verify the effectiveness of the proposed fault-reconstruction approach.