Linear systems over the max-plus algebra provide a suitable formalism to model discrete event systems where synchronization, without competition, is involved. In this paper, we consider a formulation of the model matching problem for systems of such class, in which the output of a given system, called the plant, is forced, by a suitable input, to track exactly that of a given model. A necessary and sufficient condition for its solvability is obtained by making a suitable use of geometric methods in the framework of systems over the max-plus algebra.
The Model Matching Problem for Max-Plus Linear Systems: a Geometric Approach / Animobono, D.; Scaradozzi, D.; Zattoni, E.; M. Perdon, A.; Conte, G.. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - (2022), pp. 1-8. [10.1109/TAC.2022.3191362]
The Model Matching Problem for Max-Plus Linear Systems: a Geometric Approach
Animobono D.;Scaradozzi D.;Conte G.
2022-01-01
Abstract
Linear systems over the max-plus algebra provide a suitable formalism to model discrete event systems where synchronization, without competition, is involved. In this paper, we consider a formulation of the model matching problem for systems of such class, in which the output of a given system, called the plant, is forced, by a suitable input, to track exactly that of a given model. A necessary and sufficient condition for its solvability is obtained by making a suitable use of geometric methods in the framework of systems over the max-plus algebra.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
