Open AccessInterval observer for LPV systems with unknown inputs
Author(s) -
Meyer Luc,
Ichalal Dalil,
Vigneron Vincent
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0788
Subject(s) - observer (physics) , control theory (sociology) , interval (graph theory) , mathematics , bounded function , convergence (economics) , state (computer science) , lyapunov function , context (archaeology) , linear system , lyapunov stability , rank (graph theory) , computer science , stability (learning theory) , mathematical optimization , nonlinear system , algorithm , control (management) , artificial intelligence , combinatorics , mathematical analysis , paleontology , machine learning , economics , biology , economic growth , physics , quantum mechanics
This study addresses the problem of guaranteed state and unknown input (UI) estimation for a class of linear parameter varying systems affected by UIs and other bounded perturbations. The context of interval observer in the cooperative framework is adopted. Thus, lower and upper bounds of the state and UI are provided. No assumption is made on the UI. The approach is based on a rank condition allowing to decouple the UI from the state estimation errors (so that the state estimation is guaranteed, regardless of the variation of the UI). The convergence of the proposed interval observer is studied by Lyapunov theory and stability conditions are expressed in terms of linear matrix inequalities which ease the design of the gain matrices of the observer. Finally, illustrative examples are given for discussion and comparison with respect to the existing results.