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Controller design for switched linear systems with setups

Author

Listed:
  • Lefeber, E.
  • Rooda, J.E.

Abstract

In this paper we consider the control of a complex network of servers through which many types of jobs flow, where we assume that servers require a setup time when changing between types. Such networks can be used to model complex communication, traffic or manufacturing systems. Instead of starting with a given policy for controlling the network and then study the resulting dynamics, we start from a desired steady-state behavior and derive a policy which achieves this behavior. By means of an example we illustrate the way to derive a feedback controller from given desired steady-state behavior. Insights from this example can be used to deal with general networks, as illustrated by a more complex network example.

Suggested Citation

  • Lefeber, E. & Rooda, J.E., 2006. "Controller design for switched linear systems with setups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 48-61.
    • Handle: RePEc:eee:phsmap:v:363:y:2006:i:1:p:48-61
    DOI: 10.1016/j.physa.2006.01.049
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    Citations

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    Cited by:

    1. Hong-Ze Zhang & Rui Jiang & Mao-Bin Hu & Bin Jia, 2016. "Analytical investigation on the minimum traffic delay at a two-phase intersection considering the dynamical evolution process of queues," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(10), pages 1-12, October.
    2. Lin Xiao & Hong Lo, 2015. "Combined Route Choice and Adaptive Traffic Control in a Day-to-day Dynamical System," Networks and Spatial Economics, Springer, vol. 15(3), pages 697-717, September.

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