Discrete-Time Trials for Tuning without a Model *. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Blanchini, Franco; Fenu, Gianfranco; Giordano, Giulia; Pellegrino, Felice Andrea
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 1539
• Page End: 1544
• Publication Date: 2017-07
• Subjects: Tuning -- plant-tuning -- model-free -- discrete-time; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.306
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.