Independent cycle time assignment for min-max systems

  • Authors:

  • Wen-De Chen;Yue-Gang Tao;Hong-Nian Yu

  • Affiliations:

  • Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, PRC 100190;Department of Mathematics, Zhengzhou University, Henan, PRC 450001 and Institute of Automation, Chinese Academy of Sciences, Beijing, PRC 100190;Faculty of Computing, Engineering and Technology, Staffordshire University, Stafford, UK ST16 9DG

  • Venue:
  • International Journal of Automation and Computing
  • Year:
  • 2010

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Abstract

A variety of problems in digital circuits, computer networks, automated manufacturing plants, etc., can be modeled as min-max systems. The cycle time is an important performance metric of such systems. In this paper, we focus on the cycle time assignment of min-max systems which corresponds to the pole assignment problem in traditional linear control systems. For the minmax system with max-plus inputs and outputs, we show that the cycle time can be assigned disjointedly by a state feedback, if and only if the system is reachable. Furthermore, a necessary and sufficient condition for the cycle time to be assigned independently by a state feedback is given. The methods are constructive, and some numerical examples are given to illustrate how the methods work in practice.