Actuator fault detection and interval reconstruction based on interval observers

Abstract This paper presents an actuator fault detection and interval reconstruction scheme based on interval observers for systems with both actuator faults and disturbances. To begin with, two full-order interval observers which are sensitive to actuator faults are designed to achieve the goal of actuator fault detection. Then, two reduced-order interval observers are constructed, and they are robust to the actuator faults in that the interval observer constructions are fulfilled without using the boundary information of the actuator faults. An interval actuator fault reconstruction method is developed based on the reduced-order interval observers. Finally, the validities of the proposed methods are verified by a numerical simulation example.

[1]  Denis V. Efimov,et al.  Interval observer for a class of uncertain nonlinear singular systems , 2016, Autom..

[2]  Vicenç Puig,et al.  Observer gain effect in linear interval observer-based fault detection , 2010 .

[3]  Vicenç Puig,et al.  Fault Diagnosis Using a Timed Discrete-Event Approach Based on Interval Observers: Application to Sewer Networks , 2010, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[4]  Sarah K. Spurgeon,et al.  Sliding mode observers for fault detection and isolation , 2000, Autom..

[5]  Junqi Yang,et al.  Fault detection and isolation design for uncertain nonlinear systems based on full-order, reduced-order and high-order high-gain sliding-mode observers , 2013, Int. J. Control.

[6]  Yan Wang,et al.  Interval observer design for LPV systems with parametric uncertainty , 2015, Autom..

[7]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: A survey and some new results , 1990, Autom..

[8]  Peng Shi,et al.  Fault Estimation Observer Design for Discrete-Time Takagi–Sugeno Fuzzy Systems Based on Piecewise Lyapunov Functions , 2012, IEEE Transactions on Fuzzy Systems.

[9]  Tarek Raïssi,et al.  A note on interval observer design for unknown input estimation , 2016, Int. J. Control.

[10]  Imad M. Jaimoukha,et al.  On-line fault detection and isolation for linear discrete-time uncertain systems , 2014, Autom..

[11]  Balázs Kulcsár,et al.  Robust Inversion Based Fault Estimation for Discrete-Time LPV Systems , 2012, IEEE Transactions on Automatic Control.

[12]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches , 2015, IEEE Transactions on Industrial Electronics.

[13]  Leonid M. Fridman,et al.  Interval estimation for LPV systems applying high order sliding mode techniques , 2012, Autom..

[14]  Denis V. Efimov,et al.  Interval State Estimation for a Class of Nonlinear Systems , 2012, IEEE Transactions on Automatic Control.

[15]  F. Mazenc,et al.  Interval observers for discrete‐time systems , 2014 .

[16]  Jean-Luc Gouzé,et al.  Closed loop observers bundle for uncertain biotechnological models , 2004 .

[17]  Wilfrid Perruquetti,et al.  Design of interval observer for a class of uncertain unobservable nonlinear systems , 2016, Autom..

[18]  Olivier Bernard,et al.  Interval observers for linear time-invariant systems with disturbances , 2011, Autom..

[19]  J. Gouzé,et al.  Interval observers for uncertain biological systems , 2000 .

[20]  Denis V. Efimov,et al.  Interval Observers for Time-Varying Discrete-Time Systems , 2013, IEEE Transactions on Automatic Control.

[21]  Denis V. Efimov,et al.  Interval state observer for nonlinear time varying systems , 2013, Autom..

[22]  Yi Shen,et al.  Actuator fault estimation for a class of nonlinear descriptor systems , 2014, Int. J. Syst. Sci..

[23]  Bin Jiang,et al.  Fault diagnosis based on adaptive observer for a class of non-linear systems with unknown parameters , 2004 .

[24]  Christophe Combastel,et al.  Fault detection based on robust adaptive thresholds: A dynamic interval approach , 2013, Annu. Rev. Control..

[25]  Olivier Bernard,et al.  Near optimal interval observers bundle for uncertain bioreactors , 2007, 2007 European Control Conference (ECC).

[26]  Olivier Bernard,et al.  Robust interval observers for global Lipschitz uncertain chaotic systems , 2010, Syst. Control. Lett..