Feedback Regulation for Max-Plus Linear Systems

• 成果类型: Article
• 署名作者: Chen, Pengcheng; Zhang, Jiye; Wang, Cailu
• 署名单位: Yanshan University; Yanshan University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3684430
• 发表日期: 2026
• 关键词: Stabilization

摘要

This note investigates the feedback regulation of reducible max-plus linear systems with m inputs and n outputs. The aim is to design a regulator that ensures the system directly reaches a uniform periodic steady state from any initial input, bypassing any transient phase. The normalized projector is proposed to construct the feedback regulator for reducible systems. The regulator synchronizes the eigenvalues of all irreducible blocks to spectral radius of system matrix. In addition, the poles of the closed-loop system can arbitrarily be configured by using the feedback regulator. A polynomial algorithm is proposed to construct the regulator of reducible systems, and its effectiveness is demonstrated by numerical examples. The very large-scale integration array processor is used as an example to demonstrate how the regulator designed works in practical applications.