On the existence of proportional-integral observer for the state estimation of linear time-invariant systems

• Autorzy: Kiritsis Konstadinos H.

Identyfikatory

DOI

10.2478/candc-2025-0002

• Języki publikacji: EN

Abstrakty

EN

In this paper, the explicit necessary and sufficient conditions are established for the existence of proportional-integral observer for the state estimation of linear time-invariant continuoustime systems. In particular, it is proven that for a given linear time-invariant continuous-time system of order n, having m inputs and p linearly independent outputs, a proportional-integral observer of order n can be constructed if and only if the given system is detectable. Furthermore a simple procedure is given for the construction of proportional-integral observer. Our approach is based on properties of real and polynomial matrices.

Słowa kluczowe

EN

proportional-integral observer; necessary conditions; sufficient conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2025
• Tom: Vol. 54, No. 1
• Strony: 27--47
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Kiritsis Konstadinos H.

• Hellenic Air Force Academy, Department of Aeronautical Sciences, Division of Automatic Control, Dekelia Air Base, PC 13671, Acharnes, Attikis,Tatoi, Greece

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