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State and Unknown Input H ∞ Observers for Discrete‐Time LPV Systems
Author(s) -
Meyer Luc,
Ichalal Dalil,
Vigneron Vincent
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1972
Subject(s) - decoupling (probability) , generalization , control theory (sociology) , state (computer science) , mathematics , discrete time and continuous time , computer science , algorithm , engineering , control engineering , mathematical analysis , artificial intelligence , control (management) , statistics
This paper proposes state and unknown input (UI) observers for linear parameter varying (LPV) systems affected by UI and perturbations in both state and measurement equations. The estimation is done by minimizing the L 2 transfer between the perturbations and the state estimation error ( H ∞ ‐observation). The originality of the paper is to provide a generalization of existing works, specially by relaxing an assumption on systems matrices, widely used for UI decoupling. After giving the main results, some examples illustrate the theoretical contributions and give comparisons to former publications.