{"title":"Energy-Saving Control in Distributed Parameter Systems with Uniform Estimates of Target Sets","authors":"E. Ya. Rapoport, Yu. E. Pleshivtseva, I. S. Levin","doi":"10.3103/s8756699023040088","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We propose a method for synthesizing energy-optimal controllers in open and closed domains of space-time control actions for linear multidimensional objects with distributed parabolic parameters under the conditions of a given accuracy of uniform approximation of the final state of the system to the desired spatial distribution of the controlled variable. The approach is based on the previously developed alternance method for constructing parameterizable algorithms of optimal program control, which uses the fundamental laws of the subject area. It is shown that the desired equations of the controllers are reduced to linear feedback laws with restrictions on incomplete observation of the state of the object with nonstationary transmission coefficients, which are determined by preliminary calculation of the program control action.</p>","PeriodicalId":44919,"journal":{"name":"Optoelectronics Instrumentation and Data Processing","volume":"17 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optoelectronics Instrumentation and Data Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s8756699023040088","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We propose a method for synthesizing energy-optimal controllers in open and closed domains of space-time control actions for linear multidimensional objects with distributed parabolic parameters under the conditions of a given accuracy of uniform approximation of the final state of the system to the desired spatial distribution of the controlled variable. The approach is based on the previously developed alternance method for constructing parameterizable algorithms of optimal program control, which uses the fundamental laws of the subject area. It is shown that the desired equations of the controllers are reduced to linear feedback laws with restrictions on incomplete observation of the state of the object with nonstationary transmission coefficients, which are determined by preliminary calculation of the program control action.
期刊介绍：
The scope of Optoelectronics, Instrumentation and Data Processing encompasses, but is not restricted to, the following areas: analysis and synthesis of signals and images; artificial intelligence methods; automated measurement systems; physicotechnical foundations of micro- and optoelectronics; optical information technologies; systems and components; modelling in physicotechnical research; laser physics applications; computer networks and data transmission systems. The journal publishes original papers, reviews, and short communications in order to provide the widest possible coverage of latest research and development in its chosen field.
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