Active Fault Isolation: A DualityBased Approach via Convex Programming
(2017) In SIAM Journal on Control and Optimization 55(3). p.16191640 Abstract
 This paper presents the mathematical conditions and the associated design methodology of an active fault diagnosis technique for continuoustime linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear timeinvariant 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 continuoustime linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear timeinvariant 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 continuoustime solution to the optimizationbased computation of the test input via HahnBanach duality. Simulation examples illustrate the application of the proposed active fault diagnosis methods and its efficiency in providing a solution, even in relatively large statedimensional problems. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/84f3badaccb04dad8054070e56cbff52
 author
 Blanchini, Franco; Casagrande, Daniele; Giordano, Giulia ^{LU} ; Miani, Stefano; Olaru, Sorin and Reppa, Vasso
 organization
 publishing date
 2017
 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
 10957138
 DOI
 10.1137/15M1046046
 language
 English
 LU publication?
 yes
 id
 84f3badaccb04dad8054070e56cbff52
 date added to LUP
 20170525 10:57:50
 date last changed
 20180513 04:31:50
@article{84f3badaccb04dad8054070e56cbff52, abstract = {This paper presents the mathematical conditions and the associated design methodology of an active fault diagnosis technique for continuoustime linear systems. Given a set of faults known a priori, the system is modeled by a finite family of linear timeinvariant 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 continuoustime solution to the optimizationbased computation of the test input via HahnBanach duality. Simulation examples illustrate the application of the proposed active fault diagnosis methods and its efficiency in providing a solution, even in relatively large statedimensional problems.}, author = {Blanchini, Franco and Casagrande, Daniele and Giordano, Giulia and Miani, Stefano and Olaru, Sorin and Reppa, Vasso}, issn = {10957138}, language = {eng}, number = {3}, pages = {16191640}, publisher = {SIAM Publications}, series = {SIAM Journal on Control and Optimization}, title = {Active Fault Isolation: A DualityBased Approach via Convex Programming}, url = {http://dx.doi.org/10.1137/15M1046046}, volume = {55}, year = {2017}, }