CONTROL OF AN UNCERTAIN THREE-TANK SYSTEM VIA ON-LINE PARAMETER IDENTIFICATION AND FAULT DETECTION

Abstract We provide fast and on-line methods for failure detection and isolation of uncertain nonlinear systems which are operating in closed-loop. They are based on accurate values of the derivatives of a time-signal, which are obtained via new algebraic estimation techniques. The applicability and efficiency of our approach are illustrated by numerical simulations for a most popular case-study namely the three-tank system.

[1]  A. Willsky,et al.  Failure detection and identification , 1989 .

[2]  Chadli Mohammed,et al.  STATE ESTIMATION VIA MULTIPLE OBSERVER. THE THREE TANK SYSTEM , 2003 .

[3]  Cédric Join.  Diagnostic des systèmes non linéaires: Contribution aux méthodes de découplage , 2003 .

[4]  Veit Hagenmeyer,et al.  Robustness analysis of exact feedforward linearization based on differential flatness , 2003, Autom..

[5]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[6]  Fliess Michel,et al.  Control via state estimations of some nonlinear systems , 2004 .

[7]  Steven X. Ding,et al.  Sensor Fault Tolerant Control of Nonlinear Systems with Application to a Three-Tank-System , 2000 .

[8]  David Henry,et al.  Design of nonlinear observers for fault diagnosis: A case study , 1996 .

[9]  Sunil K. Agrawal,et al.  Differentially Flat Systems , 2004 .

[10]  H. Sira-Ramirez,et al.  On the output feedback control of a synchronous generator , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[11]  D. N. Shields,et al.  An Assessment of Fault Detection Methods for a Benchmark System , 2000 .

[12]  Damien Koenig,et al.  An Original Approach for Actuator and Component Fault Detection and Isolation , 1997 .

[13]  Cédric Join,et al.  An introduction to nonlinear fault diagnosis with an application to a congested internet router , 2004 .

[14]  Harold Lee Jones,et al.  Failure detection in linear systems , 1973 .

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

[16]  Alberto Isidori,et al.  A Geometric Approach to Nonlinear Fault Detection and Isolation , 2000 .

[17]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

[18]  Marcel Staroswiecki,et al.  Analytical redundancy relations for fault detection and isolation in algebraic dynamic systems , 2001, Autom..

[19]  Donghua Zhou,et al.  Nonlinear Adaptive Observer Based Component Fault Diagnosis of Nonlinear Systems in Closed-Loops , 1999 .

[20]  Michèle Basseville,et al.  Fault Detection and Isolation in Nonlinear Dynamic Systems: A Combined Input-Output and Local Approach , 1998, Autom..

[21]  Sette Diop,et al.  An algebraic and data derivative information approach to nonlinear system diagnosis , 2001, 2001 European Control Conference (ECC).

[22]  Jan M. Kohcielny.  Application of Fuzzy Logic for Fault Isolation in a Three-Tank System , 1999 .

[23]  M. Fliess,et al.  Questioning some paradigms of signal processing via concrete examples , 2003 .

[24]  M. Fliess,et al.  An algebraic framework for linear identification , 2003 .

[25]  V. Hagenmeyer,et al.  Exact feedforward linearization based on differential flatness , 2003 .

[26]  Cédric Join,et al.  Robust residual generation for linear fault diagnosis: an algebraic setting with examples , 2004 .

[27]  Didier Theilliol,et al.  Fault diagnosis and accommodation of a three-tank system based on analytical redundancy. , 2002, ISA transactions.

[28]  M. Fliess,et al.  Compression différentielle de transitoires bruités , 2004 .

[29]  David Brie,et al.  Regularization aspects in continuous-time model identification , 2005, Autom..

[30]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[31]  Mohammed Chadli,et al.  State estimation via multiple observer with unknown inputs : Application to the three tank system , 2003 .

[32]  Cédric Join,et al.  Closed-loop fault-tolerant control for uncertain nonlinear systems , 2005 .

[33]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..

[34]  M. Fliess,et al.  Nonlinear observability, identifiability, and persistent trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.