Advanced

Active Fault Isolation: A Duality-Based Approach via Convex Programming

Blanchini, Franco; Casagrande, Daniele; Giordano, Giulia LU ; Miani, Stefano; Olaru, Sorin and Reppa, Vasso (2017) In SIAM Journal on Control and Optimization 55(3). p.1619-1640
Abstract
This paper presents the mathematical conditions and the associated design methodology of an active fault diagnosis technique for continuous-time linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear time-invariant systems, accounting for one healthy and several faulty configurations. By assuming bounded disturbances and using a residual generator, an invariant set and its projection in the residual space (i.e., its limit set) are computed for each system configuration. Each limit set, related to a single system configuration, is parameterized with respect to the system input. Thanks to this design, active fault isolation can be guaranteed by the computation of a test input, either constant... (More)
This paper presents the mathematical conditions and the associated design methodology of an active fault diagnosis technique for continuous-time linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear time-invariant systems, accounting for one healthy and several faulty configurations. By assuming bounded disturbances and using a residual generator, an invariant set and its projection in the residual space (i.e., its limit set) are computed for each system configuration. Each limit set, related to a single system configuration, is parameterized with respect to the system input. Thanks to this design, active fault isolation can be guaranteed by the computation of a test input, either constant or periodic, such that the limit sets associated with different system configurations are separated, and the residual converges toward one limit set only. In order to alleviate the complexity of the explicit computation of the limit set, an implicit dual representation is adopted, leading to efficient procedures, based on quadratic programming, for computing the test input. The developed methodology offers a competent continuous-time solution to the optimization-based computation of the test input via Hahn--Banach duality. Simulation examples illustrate the application of the proposed active fault diagnosis methods and its efficiency in providing a solution, even in relatively large state-dimensional problems. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
SIAM Journal on Control and Optimization
volume
55
issue
3
pages
1619 - 1640
publisher
SIAM Publications
external identifiers
  • scopus:85021776489
  • wos:000404771700011
ISSN
1095-7138
DOI
10.1137/15M1046046
language
English
LU publication?
yes
id
84f3bada-ccb0-4dad-8054-070e56cbff52
date added to LUP
2017-05-25 10:57:50
date last changed
2018-05-13 04:31:50
@article{84f3bada-ccb0-4dad-8054-070e56cbff52,
  abstract     = {This paper presents the mathematical conditions and the associated design methodology of an active fault diagnosis technique for continuous-time linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear time-invariant systems, accounting for one healthy and several faulty configurations. By assuming bounded disturbances and using a residual generator, an invariant set and its projection in the residual space (i.e., its limit set) are computed for each system configuration. Each limit set, related to a single system configuration, is parameterized with respect to the system input. Thanks to this design, active fault isolation can be guaranteed by the computation of a test input, either constant or periodic, such that the limit sets associated with different system configurations are separated, and the residual converges toward one limit set only. In order to alleviate the complexity of the explicit computation of the limit set, an implicit dual representation is adopted, leading to efficient procedures, based on quadratic programming, for computing the test input. The developed methodology offers a competent continuous-time solution to the optimization-based computation of the test input via Hahn--Banach duality. Simulation examples illustrate the application of the proposed active fault diagnosis methods and its efficiency in providing a solution, even in relatively large state-dimensional problems.},
  author       = {Blanchini, Franco and Casagrande, Daniele and Giordano, Giulia and Miani, Stefano and Olaru, Sorin and Reppa, Vasso},
  issn         = {1095-7138},
  language     = {eng},
  number       = {3},
  pages        = {1619--1640},
  publisher    = {SIAM Publications},
  series       = {SIAM Journal on Control and Optimization},
  title        = {Active Fault Isolation: A Duality-Based Approach via Convex Programming},
  url          = {http://dx.doi.org/10.1137/15M1046046},
  volume       = {55},
  year         = {2017},
}