Robust actuator fault reconstruction for LPV systems using sliding mode observers

This paper presents a fault reconstruction method for LPV systems which is robust against uncertainty and corrupted measurements. The design is analyzed based on a virtual system resulting from factorizing the input distribution matrix associated with the monitored actuators. The key observer parameter (which is used to define the observer gains) is designed using LMIs to minimize the effect of the uncertainty and measurement corruption on the fault reconstruction. The output error injection signals are used to reconstruct the virtual faults, and the input distribution matrix factorization is used to map back to the actual faults. Simulations using an LPV model of a large transport aircraft are presented.

[1]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[2]  Andres Marcos,et al.  Reconfigurable LPV control design for Boeing 747-100/200 longitudinal axis , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[3]  Michel Verhaegen,et al.  Mixed H − / H ∞ Fault Detection Observer Design for LPV Systems , 2008 .

[4]  Xiukun Wei,et al.  Mixed H2212;/H∞ fault detection observer design for LPV systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[5]  Jong-Yeob Shin,et al.  Robustness Analysis of Integrated LPV-FDI Filters and LTI-FTC System for a Transport Aircraft , 2007 .

[6]  Edoardo Mosca,et al.  Robust fault detection and isolation for LPV systems under a sensitivity constraint , 2009 .

[7]  Alessandro Casavola,et al.  A fault-detection, filter-design method for linear parameter-varying systems , 2007 .

[8]  J. Bokor,et al.  DETECTION FILTER DESIGN FOR LPV SYSTEMS – A GEOMETRIC APPROACH , 2002 .

[9]  M. Staroswiecki,et al.  Fault estimation in nonlinear uncertain systems using robust/sliding-mode observers , 2004 .

[10]  Michel Verhaegen,et al.  FAULT DETECTION AND IDENTIFICATION OF ACTUATOR FAULTS USING LINEAR PARAMETER VARYING MODELS , 2005 .

[11]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[12]  Christopher Edwards,et al.  Sliding mode observers for robust detection and reconstruction of actuator and sensor faults , 2003 .

[13]  Masayuki Sato.  Filter design for LPV systems using quadratically parameter-dependent Lyapunov functions , 2006, Autom..

[14]  Andres Marcos,et al.  Linear parameter-varying detection filter design for a Boeing 747-100/200 aircraft , 2005 .

[15]  Christopher Edwards,et al.  Nonlinear robust fault reconstruction and estimation using a sliding mode observer , 2007, Autom..

[16]  J. Bokor,et al.  Failure detection for quasi LPV systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[17]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[18]  David Henry,et al.  A method for designing fault diagnosis filters for LPV polytopic systems , 2008 .