A fault-tolerant sensor reconciliation scheme based on LPV Unknown Input Observers

This paper presents a fault-tolerant sensor reconciliation scheme for systems equipped with a redundant number of possibly faulty “physical” sensors. The reconciliator is in charge to discover on-line, at each time instant, the possibly faulty physical sensors and exclude their measures from the generation of the “virtual” sensors, which, on the contrary, are supposed to be always healthy and suitably usable for control purposes without requiring the reconfiguration of the nominal control law. Amongst many, the solution proposed here is based on the use of a Linear Parameter Varying Unknown Input Observers (LPV-UIO) coupled with an “ad-hoc” parameter estimator used to identify on-line the current sensor reconciliation matrix. The latter is therefore used to hide the faulty measures from the pool of physical outputs in the generation of the virtual outputs. For simplicity, the sensor faults here considered are limited to variation of sensors' gain and offset values. The scheme is fully described and all of its properties investigated and proved. Finally, a simulation example is reported in details to show the effectiveness of the scheme.

[1]  George Stephanopoulos,et al.  Rectification of process measurement data in the presence of gross errors , 1981 .

[2]  A. Casavola,et al.  Fault‐tolerant adaptive control allocation schemes for overactuated systems , 2010 .

[3]  Felix Schmid,et al.  Multisensor Integration Methods in the Development of a Fault-Tolerant Train Navigation System , 2003, Journal of Navigation.

[4]  Monica E. Romero,et al.  Sensor fault-tolerant vector control of induction motors , 2010 .

[5]  Raghunathan Rengaswamy,et al.  A framework for integrating diagnostic knowledge with nonlinear optimization for data reconciliation and parameter estimation in dynamic systems , 2001 .

[6]  Roland Toth,et al.  Modeling and Identification of Linear Parameter-Varying Systems , 2010 .

[7]  Didier Maquin,et al.  Unknown input observer for LPV systems with parameter varying output equation , 2015 .

[8]  M. Saif,et al.  A novel approach to the design of unknown input observers , 1991 .

[9]  Thomas Steffen Reconfiguration Using a Virtual Sensor , 2005 .

[10]  José A. De Doná,et al.  Multisensor fusion fault tolerant control , 2011, Autom..

[11]  Yang Liu,et al.  Least-Squares Fault Detection and Diagnosis for Networked Sensing Systems Using A Direct State Estimation Approach , 2013, IEEE Transactions on Industrial Informatics.

[12]  Vicenc Puig,et al.  State and fault estimation in singular delayed LPV systems , 2015, 2015 23rd Iranian Conference on Electrical Engineering.

[13]  Huaguang Zhang,et al.  Robust Fault Estimation and Accommodation for a Class of T–S Fuzzy Systems with Local Nonlinear Models , 2016, Circuits Syst. Signal Process..

[14]  C. K. Liew,et al.  Inequality Constrained Least-Squares Estimation , 1976 .

[15]  José A. De Doná,et al.  Multisensor fusion fault-tolerant control with diagnosis via a set separation principle , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[16]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[17]  S. Lesecq,et al.  A multi-observer switching strategy for fault-tolerant control of a quadrotor helicopter , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[18]  C. M. Crowe,et al.  Data reconciliation — Progress and challenges , 1996 .