Non-Minimum Phase Switched Systems: HOSM-Based Fault Detection and Fault Identification via Volterra Integral

Rios Hector 1 Denis Efimov 2, 3 Davila Jorge 1 Tarek Raissi 4 Leonid Fridman 5 Ali Zolghadri 6
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
4 CNAM - Paris
CEDRIC - Centre d'étude et de recherche en informatique et communications
Abstract : In this paper, the problem of continuous and discrete state estimation for a class of linear switched systems with additive faults is studied. The class of systems under study can contain non-minimum phase zeroes in some of their 'operating modes'. The conditions for exact reconstruction of the discrete state are given using structural properties of the switched system. The state space is decomposed into the strongly observable part, the non-strongly observable part, and the unobservable part, to analyze the effect of the unknown inputs. State observers based on high-order sliding mode to exactly estimate the strongly observable part and Luenberger-like observers to estimate the remaining parts are proposed. For the case when the exact estimation of the state cannot be achieved, the ultimate bounds on the estimation errors are provided. The proposed strategy includes a high-order sliding-mode-based fault detection and a fault identification scheme via the solution of a Volterra integral equation. The feasibility of the proposed method is illustrated by simulations.
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International Journal of Adaptive Control and Signal Processing, Wiley, 2013, 〈10.1002/acs.2448〉
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Rios Hector, Denis Efimov, Davila Jorge, Tarek Raissi, Leonid Fridman, et al.. Non-Minimum Phase Switched Systems: HOSM-Based Fault Detection and Fault Identification via Volterra Integral. International Journal of Adaptive Control and Signal Processing, Wiley, 2013, 〈10.1002/acs.2448〉. 〈hal-00986405〉

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