Nicolas Markey

Abstract

We present a correct-by-design method of state-dependent control synthesis for sampled switching systems. Given a target region R of the state space, our method builds a capture set S and a control that steers any element of S into R. The method works by iterated backward reachability from R. It is also used to synthesize a recurrence control that makes any state of R return to R infinitely often. We explain how the synthesis method can be performed in a compositional manner, and apply it to the synthesis of a compositional control for a concrete floor-heating system with 11 rooms and up to 211=2048 switching modes.

@article{tcs750()-LFMDC,
  author =              {Le{~}Co{\"e}nt, Adrien and Fribourg, Laurent and
                         Markey, Nicolas and De{~}Vuyst, Florian and Chamoin,
                         Ludovic},
  title =               {Distributed Synthesis of State-Dependent Switching
                         Control},
  publisher =           {Elsevier},
  journal =             {Theoretical Computer Science},
  volume =              {750},
  pages =               {53-68},
  year =                {2018},
  month =               nov,
  doi =                 {10.1016/j.tcs.2018.01.021},
  abstract =            {We present a correct-by-design method of
                         state-dependent control synthesis for sampled
                         switching systems. Given a target region~\(R\) of
                         the state space, our~method builds a capture
                         set~\(S\) and a~control that steers any element
                         of~\(S\) into~\(R\). The~method works by iterated
                         backward reachability from~\(R\). It~is also used to
                         synthesize a recurrence control that makes any state
                         of~\(R\) return to~\(R\) infinitely often.
                         We~explain how the synthesis method can be performed
                         in a compositional manner, and apply it to the
                         synthesis of a compositional control for a concrete
                         floor-heating system with 11~rooms and up to
                         \(2^{11}=2048\) switching modes.},
}