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Uniform Optimization of systems with distributed parameters in Linear-Quadratic Control Problems with Amplitude Contraints of Controlling Actions

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2024年第6期60卷 792-802页

作者： Rapoport, E. Ya. Pleshivtseva, Yu. E. Samara State Tech Univ Samara 443100 Russia

The paper proposes a constructive method for solving linear-quadratic problems of space-time control with amplitude constraints of controlling actions in systems with distributed parameters of parabolic type at a given accuracy of uniform approximation of the object final state to the required spatial distribution of the controlled quantity. The developed approach is based on the previously developed alternance method of constructing parameterizable algorithms of program control. It is demonstrated that the equations of optimal regulators are reduced to linear feedback algorithms on the measured state of the object with predetermined nonstationary transfer coefficients.

关键词： systems with distributed parameters amplitude constraints of controlling actions program control alternance method synthesis of optimal control

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Technology of solving multi-objective problems of control of systems with distributed parameters

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2017年第4期53卷 316-328页

作者： Rapoport, E. Ya. Pleshivtseva, Yu. E. Samara State Tech Univ Ul Molodogvardeiskaya 244 Samara 443100 Russia

A constructive technology of multi-objective optimization of control of distributed parameter plants is proposed. The technology is based on a single-criterion version in the form of the minimax convolution of normalized performance criteria. The approach under development is based on the transition to an equivalent form of the variational problem with constraints, with the problem solution being a priori Pareto-effective. Further procedures of preliminary parameterization of control actions and subsequent reduction to a special problem of semi-infinite programming make it possible to find the sought extremals with the use of their Chebyshev properties and fundamental laws of the subject domain. An example of multi-objective optimization of operation modes of an engineering thermophysics object is presented, which is of independent interest.

关键词： multi-objective optimization systems with distributed parameters optimal control semi-infinite optimization alternance method

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Generalizing ODE modeling structure for multivariate systems with distributed parameters 9

Generalizing ODE modeling structure for multivariate systems...

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9th IFAC Symposium on Advanced Control of Chemical Processes ADCHEM 2015

作者： Bajcinca, Naim Hofmann, Steffen Eisenschinidt, Holger Sundmacher, Kai Max Planck Inst Sandtorstr 1 D-39106 Magdeburg Germany Tech Univ Berlin D-10587 Berlin Germany Otto Von Guericke Univ D-39106 Magdeburg Germany

We propose an approximate model in form of a system of ordinary differential equations (ODEs) for a class of first-order multivariate linear partial differential equations (PDEs) of the hyperbolic type. The resulting scheme utilizes the method of moments and least square approximations over orthogonal polynomial bases for the factors of PDE depending on the spatial coordinate of the PDE. The class of examined PDEs appears typically in population balance systems with fines removal. The proposed modeling approach is generally of interest, for control and optimization of multivariate systems with distributed parameters. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： multi-variate processes population balance systems method of moments systems with distributed parameters orthogonal polynomials crystallization

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Generalizing ODE modeling structure for multivariate systems with distributed parameters

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IFAC-PapersOnLine 2015年第8期48卷 240-247页

作者： Naim Bajcinca Steffen Hofmann Holger Eisenschmidt Kai Sundmacher Max Planck Institute Sandtorstr 1 39106 Magdeburg Technische Universitat Berlin Einsteinufer 17 10587 Berlin Otto-von-Guericke Universitat Universitatspl. 2 39106 Magdeburg

We propose an approximate model in form of a system of ordinary differential equations (ODEs) for a class of first-order multivariate linear partial differential equations (PDEs) of the hyperbolic type. The resulting scheme utilizes the method of moments and least-square approximations over orthogonal polynomial bases for the factors of PDE depending on the spatial coordinate of the PDE. The class of examined PDEs appears typically in population balance systems with fines removal. The proposed modeling approach is generally of interest for control and optimization of multivariate systems with distributed parameters.

关键词： multi-variate processes population balance systems method of moments systems with distributed parameters orthogonal polynomials crystallization

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Formation and Development of the Scientific School of the Mathematical Theory of Filtration

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CYBERNETICS AND systems ANALYSIS 2023年第1期59卷 61-70页

作者： Sergienko, I. V. Khimich, O. M. Klyushin, D. A. Lyashko, V. I. Lyashko, S. I. Semenov, V. V. Natl Acad Sci Ukraine VM Glushkov Inst Cybernet Kiev Ukraine Taras Shevchenko Natl Univ Kiev Ukraine Natl Univ Kyiv Mohyla Acad Kiev Ukraine

The review describes the main stages of formation and development of the Kyiv School of Mathematical Theory of Filtration. This review focuses on the scientific ideas and results of its leader, a prominent Ukrainian scientist, Academician of the National Academy of Sciences of Ukraine Ivan Ivanovych Lyashko. The journal "Cybernetics and systems Analysis" systematically publishes the works of I. I. Lyashko's students, in which his ideas and achievements are further developed.

关键词： theory of filtration applied mathematics computational mathematics cybernetics systems with distributed parameters

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Optimal Control of Movable Objects in Engineering Thermophysics

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OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING 2022年第4期58卷 317-331页

作者： Rapoport, E. Ya. Pleshivtseva, Yu. E. Samara State Tech Univ 244 Molodogvardeyskaya Str Samara 443100 Russia

We consider the problem of optimal control of movable objects with distributed parameters according to standard performance criteria, as applied to the actual optimization problem of the operational temperature modes for continuous process units for preheating semifinished products before subsequent pressure treatment. The energy-optimal distributions of the heat release power along the length of the heater in stationary modes of its operation, which serve as the desired design solutions for the plant, are determined. Algorithms for automatic programmed and positional control of operational transient modes of a heating unit are proposed that are optimal in terms of a standard quadratic quality criterion for a given accuracy of the uniform approximation of the final spatial temperature distribution to the required one. It is shown that the procedure for synthesizing an optimal controller is reduced to constructing a control system with linear feedback based on an incomplete measurement of the state of the plant with nonstationary transmission coefficients determined by a preliminary calculation of the programmed control.

关键词： systems with distributed parameters movable objects of engineering thermophysics optimization of stationary states optimal control of transient modes programmed control alternance method optimal control synthesis

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Temperature Effects on the Performance of Lithium-Ion and Sodium-Ion Batteries

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RUSSIAN JOURNAL OF ELECTROCHEMISTRY 2021年第7期57卷 700-705页

作者： Kulova, T. L. Skundin, A. M. Russian Acad Sci Frumkin Inst Phys Chem & Electrochem Moscow 119071 Russia

The effect of temperature on the capacity of individual electrodes and entire batteries has been considered in terms of the theory of porous electrodes with doubly distributed parameters.

关键词： electrode capacity battery capacity temperature effects activation energy systems with distributed parameters solid-phase diffusion

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Synthesis of parameters of a System Control Operator with distributed parameters

Synthesis of Parameters of a System Control Operator with Di...

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Wave Electronics and its Application in Information and Telecommunication systems (WECONF)

作者： V. F. Shishlakov V. I. Goncharova Saint-Petersburg State University of Aerospace Instrumentation Saint Petersburg Russia

The article presents a method for synthesizing parameters of a control operator for systems with distributed parameters. An example of solving the problem for a nonlinear stationary system that contains a link with di... 详细信息

ISBN: (数字)9781728149448

ISBN: (纸本)9781728149455

关键词： systems with distributed parameters automatic control systems parameter synthesis program movement block diagram length line Automatic control systems distributed parameter line length BLOCK DIAGRAM System control synthesis Operators

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Stable Boundary Control of a Parabolic Equation

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PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 2021年第SUPPL 1期315卷 S1-S12页

作者： Akca, H. Maksimov, V., I Abu Dhabi Univ Abu Dhabi 59911 U Arab Emirates Russian Acad Sci Krasovskii Inst Math & Mech Ural Branch Ekaterinburg 620108 Russia

A problem of boundary control is considered for a differential equation with distributed parameters. It is required to design an algorithm that forms a feedback control and guarantees a prescribed quality of the controlled process. More exactly, the solution of this equation should track the solution of another equation, which is subject to an unknown perturbation. Methods for solving problems of this type for systems described by ordinary differential equations are well known and are presented, in particular, within the theory of positional control. In the present paper, we study a tracking problem in which the role of the control object is played by an equation with distributed parameters. It is assumed that the solutions of the equations are measured with an error, and the only available information about the perturbation is that it is an element of the space of functions summable with the square of the Euclidean norm;i.e., the perturbation can be unbounded. Taking into account these features of the problem, we design solution algorithms that are stable under information disturbances and computational errors. The algorithms are based on a combination of elements of the theory of ill-posed problems with the extremal shift method known in the theory of positional differential games.

关键词： systems with distributed parameters control

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Active Layer Thickness Effect on the Behavior of Electrodes Based on Lithium Iron Phosphate

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RUSSIAN JOURNAL OF ELECTROCHEMISTRY 2019年第3期55卷 200-205页

作者： Tusseeva, E. K. Kulova, T. L. Skundin, A. M. Galeeva, A. K. Kurbatov, A. P. Russian Acad Sci Frumkin Inst Phys Chem & Electrochem Moscow 119071 Russia Ctr Phys Chem Methods Res & Anal Alma Ata Kazakhstan Al Farabi Kazakh Natl Univ Alma Ata Kazakhstan

The effect of the active layer thickness (the amount of active material per unit area of the electrode) on the behavior of electrodes based on lithium iron phosphate was first studied by methods of galvanostatic cycling and cyclic voltammetry. When considering the electrode as a system with doubly distributed parameters (distribution of material composition along the individual LiFePO4 grain radius and distribution of the process along the depth of the active layer), it was concluded that the distribution of the process over the depth of the active layer is much more pronounced than in the bulk of individual grains of lithium iron phosphate. It is assumed that such conclusion will be valid for electrodes from other materials.

关键词： lithium-ion batteries lithium iron phosphate porous electrode active layer thickness systems with distributed parameters

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