Auxiliary signal design for robust multimodel identification

Abstract

Under the assumption that one of two given linear models is the real underlying model of the system, a proper auxiliary signal is defined as an input signal that allows the selection of the correct model. Under the assumption that model noises have bounded energy, the separability index is defined as the inverse of the energy of the proper auxiliary signal of least energy. A method for the computation of this index and the construction of the auxiliary signal is presented. Finally, an efficient procedure for on-line identification called the hyperplane test is developed.

Fault Isolation for Large Scale Discrete-Time Systems Based on Implicit Set Representation

“…We believe that the proposed approach can be fruitfully combined with previous methods, e.g. [18], [34], [28], providing a priori separation guarantees.…”

Fault Isolation for Large Scale Discrete-Time Systems Based on Implicit Set Representation

“…We believe that the proposed approach can be fruitfully combined with previous methods, e.g. [18], [34], [28], providing a priori separation guarantees.…”

A hybrid stochastic-deterministic input design method for active fault diagnosis

“…Ifũ is a separating input, then (14) holds for all i, j ∈ I, i = j. Applying Lemma 1 in the converse direction implies that Ω ⊂ Ω * (ũ, i) ⊂ Ω, and hence Ω * (ũ, i) = Ω, for every i ∈ I.…”

“…The probability of diagnosis can be understood in terms of an intersection condition similar to (14) as follows.…”

Optimal Input Design for Model Discrimination Based on Kullback Divergence

“…The proposed approach is based on the sequential comparison of the AIC, and it can be applied to find the structure of general linear time-invariant discrete-time systems. Since it sometimes takes much time to reach the final decision, optimal input design for accelerated determination of model structure might be pursued such as multi-model discrimination (Nikoukhah et al [2002]). 17th IFAC World Congress (IFAC'08) Seoul, Korea, July 6-11,…”

Fault Isolation for Large Scale Discrete-Time Systems Based on Implicit Set Representation

“…We believe that the proposed approach can be fruitfully combined with previous methods, e.g. [18], [34], [28], providing a priori separation guarantees.…”

A hybrid stochastic-deterministic input design method for active fault diagnosis

“…Ifũ is a separating input, then (14) holds for all i, j ∈ I, i = j. Applying Lemma 1 in the converse direction implies that Ω ⊂ Ω * (ũ, i) ⊂ Ω, and hence Ω * (ũ, i) = Ω, for every i ∈ I.…”

“…The probability of diagnosis can be understood in terms of an intersection condition similar to (14) as follows.…”

Optimal Input Design for Model Discrimination Based on Kullback Divergence

“…The proposed approach is based on the sequential comparison of the AIC, and it can be applied to find the structure of general linear time-invariant discrete-time systems. Since it sometimes takes much time to reach the final decision, optimal input design for accelerated determination of model structure might be pursued such as multi-model discrimination (Nikoukhah et al [2002]). 17th IFAC World Congress (IFAC'08) Seoul, Korea, July 6-11,…”

Fault Isolation for Large Scale Discrete-Time Systems Based on Implicit Set Representation

“…We believe that the proposed approach can be fruitfully combined with previous methods, e.g. [18], [34], [28], providing a priori separation guarantees.…”

A hybrid stochastic-deterministic input design method for active fault diagnosis

“…Ifũ is a separating input, then (14) holds for all i, j ∈ I, i = j. Applying Lemma 1 in the converse direction implies that Ω ⊂ Ω * (ũ, i) ⊂ Ω, and hence Ω * (ũ, i) = Ω, for every i ∈ I.…”

“…The probability of diagnosis can be understood in terms of an intersection condition similar to (14) as follows.…”

Optimal Input Design for Model Discrimination Based on Kullback Divergence

“…The proposed approach is based on the sequential comparison of the AIC, and it can be applied to find the structure of general linear time-invariant discrete-time systems. Since it sometimes takes much time to reach the final decision, optimal input design for accelerated determination of model structure might be pursued such as multi-model discrimination (Nikoukhah et al [2002]). 17th IFAC World Congress (IFAC'08) Seoul, Korea, July 6-11,…”