TY - JOUR
T1 - Multimode diagnosis for switched affine systems with noisy measurement
AU - Dong, Jingwei
AU - Kolarijani, Arman Sharifi
AU - Esfahani, Peyman Mohajerin
PY - 2023
Y1 - 2023
N2 - We study a diagnosis scheme to reliably detect the active mode of discrete-time, switched affine systems in the presence of measurement noise and asynchronous switching. The proposed scheme consists of two parts: (i) the construction of a bank of filters, and (ii) the introduction of a residual/threshold-based diagnosis rule. We develop an exact finite optimization-based framework to numerically solve an optimal bank of filters in which the contribution of measurement noise to the residual is minimized. The design problem is safely approximated through linear matrix inequalities and thus becomes tractable. We further propose a thresholding policy along with probabilistic false-alarm guarantees to estimate the active system mode in real-time. In comparison with the existing results, the guarantees improve from a polynomial dependency in the probability of false alarm to a logarithmic form. This improvement is achieved under the additional assumption of sub-Gaussianity, which is expected in many applications. The performance of the proposed approach is validated through a numerical example and an application of the building radiant system.
AB - We study a diagnosis scheme to reliably detect the active mode of discrete-time, switched affine systems in the presence of measurement noise and asynchronous switching. The proposed scheme consists of two parts: (i) the construction of a bank of filters, and (ii) the introduction of a residual/threshold-based diagnosis rule. We develop an exact finite optimization-based framework to numerically solve an optimal bank of filters in which the contribution of measurement noise to the residual is minimized. The design problem is safely approximated through linear matrix inequalities and thus becomes tractable. We further propose a thresholding policy along with probabilistic false-alarm guarantees to estimate the active system mode in real-time. In comparison with the existing results, the guarantees improve from a polynomial dependency in the probability of false alarm to a logarithmic form. This improvement is achieved under the additional assumption of sub-Gaussianity, which is expected in many applications. The performance of the proposed approach is validated through a numerical example and an application of the building radiant system.
KW - Fault detection and isolation
KW - Identification methods
KW - Optimization
KW - Probabilistic safety assessment
KW - Switched systems
UR - http://www.scopus.com/inward/record.url?scp=85148325638&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2023.110898
DO - 10.1016/j.automatica.2023.110898
M3 - Article
AN - SCOPUS:85148325638
SN - 0005-1098
VL - 151
JO - Automatica
JF - Automatica
M1 - 110898
ER -