Discrete-Time Trials for Tuning without a Model

Franco Blanchini, Gianfranco Fenu, Giulia Giordano, Felice Andrea Pellegrino

Research output: Contribution to journalConference articleScientificpeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)1539-1544
Number of pages6
Issue number1
Publication statusPublished - 1 Jul 2017
Externally publishedYes


  • discrete-time
  • model-free
  • plant-tuning
  • Tuning


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