This article is cited in 6 papers

Optimization, System Analysis, and Operations Research

Optimization of measurement points positioning in a border control synthesis problem for the process of heating a rod

K. R. Aida-zade^ab, V. A. Hashimov<sup>b

a</sup> Baku State University, Baku, Azerbaijan
^b Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

Abstract: With the example of boundary control for the rod heating process, we study the synthesis problem for controlling boundary conditions in systems with distributed parameters. Feedback is provided by measuring the state of the process at internal points whose values are used to construct the control. We propose a formulation of the synthesis problem where both measurement points and the time of measurements are optimized. To solve the problem, we derive formulas necessary to apply efficient first order numerical optimization methods. We show the results of numerical experiments.

Keywords: control synthesis, measurement point, nonlocal condition, gradient projection method.

Presented by the member of Editorial Board: B. T. Polyak

Received: 05.06.2017

 English version: Automation and Remote Control, 2018, 79:9, 1643–1660

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