Title :
Observer Design for
Linear Systems
Author :
Hardouin, Laurent ; Maia, Carlos Andrey ; Cottenceau, Bertrand ; Lhommeau, Mehdi
Author_Institution :
Lab. d´´Ing. des Syst. Automatises, Univ. d´´Angers, Angers, France
Abstract :
This technical note deals with the state estimation for max-plus linear systems. This estimation is carried out following the ideas of the observer method for classical linear systems. The system matrices are assumed to be known, and the observation of the input and of the output is used to compute the estimated state. The observer design is based on the residuation theory which is suitable to deal with linear mapping inversion in idempotent semiring.
Keywords :
discrete event systems; linear systems; state estimation; (max, +) linear systems; idempotent semiring; linear mapping inversion; observer design; residuation theory; state estimation; system matrices; Automatic control; Equations; Dioid; discrete event dynamics systems; idempotent semirings; max-plus algebra; observer; residuation theory; state estimation; timed event graphs (TEGs);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2037477