Algebraic approaches for the design of simultaneous observers for linear systems. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Menini, Laura; Possieri, Corrado; Tornambe, Antonio
• Is Part Of: IET control theory & applications. Volume 14:Issue 1(2020)
• Page Start: 52
• Page End: 62
• Publication Date: 2020-01-01
• Subjects: algebra -- linear systems -- observers -- geometry -- continuous time systems; design observers -- multiple linear continuous‐time systems -- algebraic technique -- linear inverses -- observability map -- algebraic geometry tools -- simultaneous observability -- multiple linear systems -- single observer -- algebraic approaches -- simultaneous observers; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2019.0073
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.