The Problem of Controlling the Process of Heating the Rod in the Presence of Disturbance and Uncertainty
Autor: | V.I. Ukhobotov, I.V. Izmest’ev |
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Rok vydání: | 2018 |
Předmět: |
0209 industrial biotechnology
Disturbance (geology) genetic structures 010102 general mathematics Process (computing) 02 engineering and technology Mechanics Interval (mathematics) Function (mathematics) 01 natural sciences Condensed Matter::Soft Condensed Matter 020901 industrial engineering & automation Control and Systems Engineering Fixed time Heat density Range (statistics) sense organs 0101 mathematics Mathematics |
Zdroj: | IFAC-PapersOnLine. 51:739-742 |
ISSN: | 2405-8963 |
DOI: | 10.1016/j.ifacol.2018.11.458 |
Popis: | The problem of controlling the process of heating the rod by changing the temperature at the left end of the rod is considered. The temperature at the right end of the rod is formed by a disturbance. The exact value of the heat density function is unknown, and only the boundaries of the range of its possible values are given. The goal of the control process is that at a fixed time the average value of the temperature of the rod belongs to the given interval. Necessary and sufficient conditions are found that the initial temperature of the rod must satisfy, so that the goal can be achieved for any admissible realizations of disturbance and uncertainty. The corresponding heating control of the left end of the rod is constructed. |
Databáze: | OpenAIRE |
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