arXiv subjects

Franck Cazaurang

Publications and source records attributed to Franck Cazaurang.

2 recordsLinked to original sources

arXiv2022

Nonlinear Three-Tank System Fault Detection and Isolation Using Differential Flatness

Fault detection and isolation on hydraulic systems are very important to ensure safety and avoid disasters. In this paper, a fault detection and isolation method, based on the flatness property of nonlinear systems, is experimentally applied on the three-tank system, which is considered as a popular prototype of hydraulic systems. Specifically, fault indicators, called residues, are generated using flat output measurements, and for the purpose of fault isolation, a definition of the isolability is introduced. This definition allows the characterization of flat outputs that are useful for fault isolation. A sensitivity analysis is proposed in order to improve the robustness of the method. Multiplicative faults are considered on sensors and actuators.

eess.SY↗

arXiv2010

On the Computation of $π$-Flat Outputs for Linear Time-Delay Systems

This paper deals with linear time-varying, delay systems. Extensions of the concept of differential flatness \cite{Fliess_95} to this context have been first proposed in \cite{Mounier_95,Fliess_96} (see also \cite{Rudolph_03,Chyzak_05}), by the introduction of $π$-flat output. Roughly speaking, it means that every system variable may be expressed as a function of a particular output $y$, a finite number of its time derivatives, time delays, and predictions, the latter resulting from the prediction operator $π^{-1}$. We propose a simple and constructive algorithm for the computation of $π$-flat outputs based on concepts of polynomial algebra, in particular Smith-Jacobson decomposition of polynomial matrices. Some examples are provided to illustrate the proposed methodology.

math.OC↗