Multimode diagnosis for switched affine systems with noisy measurement

Multimode diagnosis for switched affine systems with noisy measurement

Dong, J. (TU Delft Team Peyman Mohajerin Esfahani)
Sharifi K., Arman (TU Delft Team Peyman Mohajerin Esfahani)
Mohajerin Esfahani, P. (TU Delft Team Peyman Mohajerin Esfahani)

2023

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.

Fault detection and isolation
Identification methods
Optimization
Probabilistic safety assessment
Switched systems

http://resolver.tudelft.nl/uuid:79193e2b-7563-49dc-8c6f-23308a8ad8a1

https://doi.org/10.1016/j.automatica.2023.110898

0005-1098

Automatica, 151

Institutional Repository

journal article

© 2023 J. Dong, Arman Sharifi K., P. Mohajerin Esfahani