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Communication Dans Un Congrès Année : 2004

Time optimal control for quantized input systems

Résumé

In this paper we consider a control system of type x+ = x + u, wnere the u take values in a set of 2m + 1 integer numbers, symmetric with respect to 0. and analyse the reachable set after K steps. Our aim is to find a set of m input values such that the reachable set after K steps contains an interval of integers [-N,.,., N] with N as large as possible. For m = 2 and 3, we completely solve the problem and characterize the metric associated to this quantized control system. Copyright © 2004 IFAC.

Dates et versions

hal-02320851 , version 1 (19-10-2019)

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Yacine Chitour, Alessia Marigo, Benedetto Piccoli. Time optimal control for quantized input systems. 6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004, Sep 2004, Stuttgart, Germany. pp.1009-1014, ⟨10.1016/S1474-6670(17)31358-7⟩. ⟨hal-02320851⟩

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