1. Closed-loop fault-tolerant control for uncertain nonlinear systems
- Author
-
Fliess, Michel, Join, Cédric, Sira-Ramirez, Hebertt, Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), T. Meurer, K. Graichen, and E.D. Gilles
- Subjects
algebraic estimation techniques ,three-tank system ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,differential algebra ,[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,fault-tolerant control ,[NLIN.NLIN-AO]Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO] ,Fault diagnosis ,uncertain nonlinear systems ,derivatives of a noisy time signal - Abstract
We are designing, perhaps for the first time, closed-loop fault-tolerant control for uncertain nonlinear systems. Our solution is based on a new algebraic estimation technique of the derivatives of a time signal, which • yields good estimates of the unknown parameters and of the residuals, i.e., of the fault indicators, • is easily implementable in real time, • is robust with respect to a large variety of noises, without any necessity of knowing their statistical properties. Convincing numerical simulations are provided via a popular case-study in the diagnosis community, namely the three-tank system, which may be characterized as a flat hybrid system.
- Published
- 2005