Discrete-Time Trials for Tuning without a Model

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Given a static plant described by a differentiable input-output function, which is completely unknown, but whose Jacobian takes values in a known polytope in the matrix space, we consider the problem of tuning the output (i.e., driving the output to a desired value), by suitably choosing the input. To this aim, we assume to have at our disposal a discrete sequence of trials only, as it happens, for instance, when we iteratively run a software, with new input data at each iteration, in order to achieve the desired output value. In this paper we prove that, if the polytope is robustly non-singular (or has full row rank, in the general non-square case), then a suitable discrete-time tuning law drives the output to the desired point. The computation of the tuning law is based on a convex-optimisation problem to be solved on-line. An application example is proposed to show the effectiveness of the approach.


  • Franco Blanchini
  • Gianfranco Fenu
  • Giulia Giordano
  • Felice Andrea Pellegrino
Enheter & grupper
Externa organisationer
  • University of Trieste
  • University of Udine

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Reglerteknik


Sidor (från-till)1539-1544
Antal sidor6
Utgåva nummer1
StatusPublished - 2017 jun
Peer review utfördJa
Evenemang20th IFAC World Congress, 2017 - Toulouse, Frankrike
Varaktighet: 2017 jul 92017 jul 14