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On Local LTI Model Coherence for LPV Interpolation

Qinghua Zhang 1 Lennart Ljung 2 Rik Pintelon 3
1 I4S - Statistical Inference for Structural Health Monitoring
IFSTTAR/COSYS - Département Composants et Systèmes, Inria Rennes – Bretagne Atlantique
Abstract : In the local approach to linear parameter varying (LPV) system identification, it is widely acknowledged that locally estimated linear state-space models should be made coherent before being interpolated, but the accurate meaning of the term " coherent " or " coherence " is rarely defined. The purpose of this paper is to analyze the relevance of two existing definitions and to point out the consequence of this analysis on the practice of LPV system identification.
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Qinghua Zhang, Lennart Ljung, Rik Pintelon. On Local LTI Model Coherence for LPV Interpolation. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2019, pp.6. ⟨10.1109/TAC.2019.2948898⟩. ⟨hal-01758337v2⟩

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