The Model Matching Problem for Max-Plus Linear Systems: A Geometric Approach

• 成果类型: Article
• 署名作者: Animobono, Davide; Scaradozzi, David; Zattoni, Elena; Perdon, Anna Maria; Conte, Giuseppe
• 署名单位: Marche Polytechnic University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3191362
• 发表日期: 2023
• 页码: 3581-3587
• 关键词: Linear systems; Algebra; mathematical models; STANDARDS; Discrete-event systems; Synchronization; indexes; geometric methods; Manufacturing; max-plus systems

摘要

Linear systems over the max-plus algebra provide a suitable formalism to model discrete-event systems where synchronization, without competition, is involved. In this article, 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.