TECHNOLOGY OF OPTIMAL DESIGNING OF COMPLEX STRUCTURED SYSTEMS WITH DISTRIBUTED PARAMETERS: PROGRAM STRATEGY OF DECISION MAKING

Autor: Yu. E. Pleshivtseva, E. Ya. Rapoport
Rok vydání: 2022
Předmět:
Zdroj: Ontology of Designing. 7:172-190
ISSN: 2313-1039
2223-9537
DOI: 10.18287/2223-9537-2017-7-2-172-190
Popis: This article describes the statements and suggests constructive technology for solving the wide class of problems of joint optimization of design and operating modes for complex structured, dimensionless, not well-determined systems with distributed parameters (SDP). The optimization problems are formulated with respect to complex efficiency criteria. SDP are described with operator equations of the general form with the appropriate initial and boundary conditions. As a basic problem, the deterministic problem of optimal design is considered to find program control of operational modes for distributed system with well-determined object characteristics. Suggested method for the problem solution is extended to the optimization problems for design solutions under conditions of a priori known external inputs on the object. The method is also applied to the complex problem of the joint optimization and to the typical cases of optimal design of the distributed system under conditions of interval uncertainty of the system’s parametric characteristics and external disturbances. Developed approach uses: the procedure of subsequent parameterization of problems' solutions that is based on well-known analytical conditions of optimality; precise reduction to the special problems of mathematical programming; alternance properties of extremum solutions that are similar to well-known results of theory of nonlinear Chebyshev's approximations; and fundamental regularities of the subject domain. The given example of an application of the received results to the optimal design problem solution for industrial object of the technological thermal physics is of a special interest. The formulation of the problem of distributed parameters system design as a complex problem of joint determination of the vector space-time control actions is new. The approach for development of program strategies of the decision making that can be extended to the considered problems class is also new.
Databáze: OpenAIRE
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