1. On Local LTI Model Coherence for LPV Interpolation
- Author
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Lennart Ljung, Rik Pintelon, Qinghua Zhang, Electricity, Statistical Inference for Structural Health Monitoring (I4S), Département Composants et Systèmes (IFSTTAR/COSYS), Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Université de Lyon-PRES Université Nantes Angers Le Mans (UNAM)-PRES Université Lille Nord de France-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Université de Lyon-PRES Université Nantes Angers Le Mans (UNAM)-PRES Université Lille Nord de France-Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Linköping University (LIU), Department ELEC [Brussels], Vrije Universiteit Brussel (VUB), and PRES Université Lille Nord de France-PRES Université Nantes Angers Le Mans (UNAM)-Université de Lyon-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-PRES Université Lille Nord de France-PRES Université Nantes Angers Le Mans (UNAM)-Université de Lyon-Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Inria Rennes – Bretagne Atlantique
- Subjects
0209 industrial biotechnology ,Computer science ,Linear systems ,Interpolation ,Coherence ,State-space methods ,Data models ,Dynamic scheduling ,Time-varying systems ,Coherent local linear models ,linear parameter varying (LPV) model ,system identification ,02 engineering and technology ,020901 industrial engineering & automation ,Control theory ,Reglerteknik ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,Point (geometry) ,Relevance (information retrieval) ,Electrical and Electronic Engineering ,System identification ,Linear system ,Linear Systems ,Coherence (statistics) ,Control Engineering ,time-varying systems ,interpolation ,Computer Science Applications ,Term (time) ,coherence ,state-space methods ,data models ,Control and Systems Engineering ,LPV model ,Coherence (physics) - Abstract
International audience; 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.
- Published
- 2020