TY - JOUR

T1 - Discrete-Time Trials for Tuning without a Model

AU - Blanchini, Franco

AU - Fenu, Gianfranco

AU - Giordano, Giulia

AU - Pellegrino, Felice Andrea

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - discrete-time

KW - model-free

KW - plant-tuning

KW - Tuning

UR - http://www.scopus.com/inward/record.url?scp=85031778735&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.306

DO - 10.1016/j.ifacol.2017.08.306

M3 - Conference article

AN - SCOPUS:85031778735

VL - 50

SP - 1539

EP - 1544

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 1474-6670

IS - 1

ER -