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Communication Logic Design and Analysis for Networked Control Systems

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Current Trends in Nonlinear Systems and Control

Part of the book series: Systems and Control: Foundations & Applications ((SCFA))

Summary

This chapter addresses the control of spatially distributed processes via communication networks with a fixed delay. A distributed architecture is utilized in which multiple local controllers coordinate their efforts through a data network that allows information exchange. We focus our work on linear time-invariant processes disturbed by Gaussian white noise and propose several logics to determine when the local controllers should communicate. Necessary conditions are given under which these logics guarantee boundedness and the trade-off is investigated between the amount of information exchanged and the performance achieved. The theoretical results are validated through Monte Carlo simulations. The resulting closed loop systems evolve according to stochastic differential equations with resets triggered by stochastic counters. This type of stochastic hybrid system is interesting on its own.

This research was supported by the National Science Foundation under the grant numbers CCR-0311084 and ECS-0242798.

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Author information

Authors and Affiliations

  1. Center for Control Engineering and Computation, Dept. of Electrical and Computer Engineering, University of California, Santa Barbara, CA, 93106, USA

    Yonggang Xu & João P. Hespanha

Authors
  1. Yonggang Xu
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  2. João P. Hespanha
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica Sistemi e Produzione, Università di Roma “Tor Vergata”, Via del Politecnico 1, I-00133, Roma, Italia

    Laura Menini  & Luca Zaccarian  & 

  2. Department of Electrical and Computer Engineering, University of New Mexico, EECE Building MSC01 1100, Albuquerque, NM, 87131-0001, USA

    Chaouki T. Abdallah

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© 2006 Birkhäuser Boston

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Xu, Y., Hespanha, J.P. (2006). Communication Logic Design and Analysis for Networked Control Systems. In: Menini, L., Zaccarian, L., Abdallah, C.T. (eds) Current Trends in Nonlinear Systems and Control. Systems and Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4470-9_27

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