36th International Summer School of Automatic Control. Grenoble, France.
Positive invariance as a set-theoretic method for
fault diagnosis and fault tolerant control

36th International Summer School of Automatic Control Grenoble, France

September 7-11 2015

Positive invariance as a set-theoretic method for fault

diagnosis and fault tolerant control


John-Jairo MARTINEZ (GIPSA-Lab, Grenoble, France)

Sorin OLARU (Centrale-Supélec, Gif-sur-Yvette, France) 

Didier THEILLIOL (CRAN, University of Lorraine, France)


Context and motivation

Development of set-theoretic methods for the characterization of invariant sets has allowed application of the associated theoretical concepts in various domains, such as fault isolation, robust control and predictive control. The aim of this summer school is to present in an accessible manner novel trends in fault diagnosis and fault-tolerant control. The basic methodologies have their roots in Lyapunov’s stability theory for switched and/or dynamical systems affected by uncertainty. As a central concept, the positive invariance of sets characterizing the nominal and the faulty behaviour will be shown to present a particular interest in the last decade FDI and FTC developments. Topics approached by this summer school cover theory of invariant sets, stability of switched systems, and methods for stabilizing dynamical systems under fault occurrence. All these theoretic approaches have allowed design of powerful analytical and numerical tools for fault-tolerant control which will be presented in the context of this summer school.


The school will consist of a series of surveys, lectures and research talks taught in English, completed by theoretical and practical exercise sessions.


The Summer School is mainly intended to PhD students, but it is open to industrial participants, researchers and scholars in control engineering or in applied mathematics. Basic knowledge in automatic control and mathematics will be useful.

About Grenoble:

Capital of the French Alps, with about 500 000 residents and 60 000 students, Grenoble is surrounded by the well-known mountain ranges: Chartreuse, Vercors and Belledonne. Grenoble can be easily reached by plane from two airports: Lyon Saint-Exupery (LYS) or Geneva Cointrin (GVA Switzerland). From LYS, a bus shuttle reaches Grenoble's Railway Station in 1 hour (24 shuttles per day). From GVA, a bus shuttle (2 hours) or a train is available. By train, frequent services are also available from Paris (3 hours TGV, 8 per day) and from Lyon (1 hour by train).