Open AccessAlgebraic approaches for the design of simultaneous observers for linear systems
Author(s) -
Menini Laura,
Possieri Corrado,
Tornambe Antonio
Publication year - 2020
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.2019.0073
Subject(s) - observability , linear system , algebraic number , observer (physics) , mathematics , control theory (sociology) , state (computer science) , set (abstract data type) , algebraic analysis , state observer , computer science , algorithm , differential algebraic equation , nonlinear system , mathematical analysis , control (management) , ordinary differential equation , physics , quantum mechanics , artificial intelligence , programming language , differential equation
In this study, algebraic techniques are proposed to design observers capable of estimating the state of multiple linear continuous‐time systems. In order to pursue this objective, first an algebraic technique is given to compute the set of all the linear inverses of the observability map of a single plant. Such a result is then used to characterise, through algebraic geometry tools, the simultaneous observability of multiple linear systems both in the forced and in the autonomous case. Such a characterisation is finally employed to design a single observer that is capable of estimating the state of multiple linear systems.