Fault-tolerant control theory is a well-studied topic but theuse of the sets in detection, isolation and/or reconfiguration israther tangential.The authors of this book propose a systematic analysis of theset-theoretic elements and devise approaches which exploit advancedelements within the field. The main idea is to translate faultdetection and isolation conditions into those conditions involvingsets. Furthermore, these are to be computed efficiently usingpositive invariance and reachability notions. Constraints imposedby exact fault control are used to define feasible references(which impose persistent excitation and, thus, non-convex feasiblesets). Particular attention is given to the reciprocal influencesbetween fault detection and isolation on the one hand, and controlreconfiguration on the other.
1. State of the Art in Fault-tolerant Control2. Fault Detection and Isolation in Multisensor Systems3. Residual Generation and Reference Governor Design4. Reconfiguration of the Control Mechanism for Fault-tolerantControl5. Related Problems and Applications
About the Authors
Florin Stoican received a B.E. degree from the“Politehnica” University of Bucharest, Romania, in 2008and his PhD from SUPELEC, France in 2011. He held an ERCIMPostdoctoral Fellowship with NTNU Trondheim, Norway, in 2012, andis currently Assistant Professor at “Politehnica”University of Bucharest. His main interest is the fault tolerantcontrol of dynamical systems through the prism of set theoreticelements. His current work involves further results in set theoryand constrained optimization problems.Sorin Olaru received an M.S. degree from the“Politehnica” University of Bucharest, Romania, andboth his PhD and Habilitation from University Paris XI, France,being awarded the European Commission Archimedes Prize in 2002.Since 2001 he has held different positions at INRIA and SUPELEC inFrance and visiting appointments at the University of Newcastle,Australia and NTNU Trondheim, Norway. He is currently Professor atSUPELEC, a member of the INRIA Disco team and senior member ofIEEE. His research interests include optimization-based controldesign and the set-theoretic characterization of constraineddynamical systems.
About the Author
Abdelhamid Mellouk, UPEC, LiSSi Lab, Paris -Est University, Paris, France.
Hai Anh Tran, UPEC, LiSSi Lab, Paris -Est University, Paris, France.
Said Hoceini, UPEC, LiSSi Lab, Paris -Est University, Paris, France.
Table of Contents
Chapter 1. State of the Art in Fault-tolerant Control 1
1.1. Fault detection and isolation 4
1.2. Control reconfiguration 6
1.3. Sets in control 9
1.4. Existing set-theoretic methods in FTC 22
Chapter 2. Fault Detection and Isolation in Multisensor Systems 27
2.1. Problem statement 28
2.2. Fault detection and isolation 35
2.3. Recovery mechanism 45
Chapter 3. Residual Generation and Reference Governor Design 55
3.1. Residual signals 56
3.2. Reference governor synthesis 68
Chapter 4. Reconfiguration of the Control Mechanism for Fault-tolerant Control 73
4.1. Active FTC with fix gain feedback 76
4.2. Active FTC with MPC control 89
4.3. Passive FTC control 96
Chapter 5. Related Problems and Applications 103
5.1. Set theoretic issues 103
5.2. Illustrative examples 113