Wen-De Chen, Yue-Gang Tao and Hong-Nian Yu. Independent Cycle Time Assignment for Min-max Systems. International Journal of Automation and Computing, vol. 7, no. 2, pp. 254-260, 2010. DOI: 10.1007/s11633-010-0254-9
Citation: Wen-De Chen, Yue-Gang Tao and Hong-Nian Yu. Independent Cycle Time Assignment for Min-max Systems. International Journal of Automation and Computing, vol. 7, no. 2, pp. 254-260, 2010. DOI: 10.1007/s11633-010-0254-9

Independent Cycle Time Assignment for Min-max Systems

  • 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 min-max 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.
  • loading

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return