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Distributed Synthesis of State-Dependent Switching Control

  • Adrien Le Coënt
  • Laurent Fribourg
  • Nicolas MarkeyEmail author
  • Florian De Vuyst
  • Ludovic Chamoin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9899)

Abstract

We present a correct-by-design method of state-dependent control synthesis for linear discrete-time switching systems. Given an objective region R of the state space, the method builds a capture set S and a control which steers any element of S into R. The method works by iterated backward reachability from R. More precisely, S is given as a parametric extension of R, and the maximum value of the parameter is solved by linear programming. The method can also be used to synthesize a stability control which maintains indefinitely within R all the states starting at R. We explain how the synthesis method can be performed in a distributed manner. The method has been implemented and successfully applied to the synthesis of a distributed control of a concrete floor heating system with 11 rooms and \(2^{11}=2048\) switching modes.

Keywords

Heat Transfer Coefficient Control Synthesis Symbolic State Parametric Extension Control Pattern 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Adrien Le Coënt
    • 1
  • Laurent Fribourg
    • 2
  • Nicolas Markey
    • 2
    Email author
  • Florian De Vuyst
    • 1
  • Ludovic Chamoin
    • 3
  1. 1.CMLA, ENS Cachan, CNRS, Université Paris-SaclayCachan CedexFrance
  2. 2.LSV, ENS Cachan, CNRS, Université Paris-SaclayCachan CedexFrance
  3. 3.LMT, ENS Cachan, CNRS, Université Paris-SaclayCachan CedexFrance

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