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Управление нелинейными неопределенными динамическими объектами
M. :
Либроком/URSS, 2015.
Afanasiev V., Окунькова Е. В., Мехатроника, автоматизация, управление 2013 № 5(146) С. 2-5
The task of designing the control actions for a heavy water reactor under uncertainty changes its parameters considered in the key differential game. The possibility of representing nonlinear dynamics of the object in the form of a system with parameters depending on the state (State Dependent Coefficients) and quadratic functional qualities allow you to go ...
Added: September 21, 2013
Afanasiev V., Известия РАН. Теория и системы управления 2011 Т. 9 № 1 С. 24-31
Quite many engineering problems, problems from ecology, medicine, and social sciences are characterized by the presence of factors bringing uncertainty into the corresponding control systems. Additional difficulties for control action construction arise in the case when the objects are described by nonlinear highorder evolutionary equations. An important subset of these objects consists of the object ...
Added: April 13, 2012
Afanasiev V., Проблемы управления 2015 № 3 С. 12-19
The problem of optimal control for a class of nonlinear objects with uncontrolled bounded disturbances is formulated in the key differential game. For problems with a quadratic quality functional task of searching for the optimal control reduces the need to find solutions to the scalar partial differential equation Hamilton-Jacobi-Isaacs. Finding solutions to this equation in ...
Added: March 28, 2015
St. Petersburg : -, 2013
Nowadays, production control problems has been widely studied and a lot of valuable approaches have been implemented. Some work addresses the problem of tracking the uncertain demand in case of uncertain production speeds. The uncertainties are described by deterministic inequalities and the performance is analyzed in from of the worst-case scenario. First, simple mathematical models ...
Added: September 23, 2013
Presnova A., Автоматизация. Современные технологии 2018 Т. 72 № 12 С. 563-569
The problem of searching for optimal control of nonlinear systems is indicated. Using the algorithmic method proposed in this paper, suboptimal control of a nonlinear object is constructed. The necessary assumptions are made for using the method of extended linearization. The example demonstrates the work of an algorithmic method for synthesizing suboptimal controls, and compares ...
Added: October 2, 2018
Afanasiev V., Orlov P., Известия РАН. Теория и системы управления 2011 Т. 50 № 3 С. 13-22
An optimal control problem is formulated for a class of nonlinear systems for which there exists a coordinate representation (diffeomorphism) transforming the original system into a system with a linear main part and a nonlinear feedback. In this case the coordinate transformation significantly changes the form of original quadratic functional. The penalty matrices become dependent ...
Added: April 13, 2012
Afanasiev V., Автоматика и телемеханика 2011 № 4 С. 43-56
The theoretical fundamentals for solving the linear quadratic problems may be some times used to design the optimal control actions for the nonlinear systems. The method relying on the Riccati equation with state-dependent coefficients is promising and rapidly developing tools for design of the nonlinear controllers. The set of possible suboptimal solutions is generated by ...
Added: April 13, 2012
Afanasiev V., Автоматика и телемеханика 2014
An optimal control problem was formulated for a class of nonlinear systems which can be presented by a system with a linear structure and state-depended coefficients (SDC). The system be under the influence of uncontrollable disturbance is supposed. In this paper, the problem of control uncertain nonlinear object to the desired trajectory is considered using ...
Added: October 29, 2014
Afanasiev V., Automation and Remote Control 2015 Vol. 76 No. 1 P. 1-15
We formulate the optimal control problem for a class of nonlinear objects that can
be represented as objects with linear structure and state-dependent coefficients. We assume
that the system is subjected to uncontrollable bounded disturbances. The linear structure of
the transformed nonlinear system and the quadratic quality functional let us, in the optimal
control synthesis, to pass from Hamilton–Jacobi–Isaacs ...
Added: March 26, 2015
Afanasiev V., Presnova A., Automation and Remote Control 2021 Vol. 82 No. 2 P. 245-263
We state an optimal control problem for a class of dynamical systems whose nonlinear objects can be represented as objects with linear structure and state-dependent parameters. The linearity of the structure of the transformed nonlinear system and the quadratic performance functional allow one to move from the need to search for solutions of the Hamilton–Jacobi ...
Added: January 27, 2021
Afanasiev V., Semion A., Автоматизация. Современные технологии 2020 Т. 74 № 4 С. 170-175
Во многих современных приложениях теории автоматического управления проявляется эффект запаздывания, заключающийся в том, что состояние объекта начинают изменяться только через некоторое время, после изменения входного воздействия. Так, например, при заражении клетки ВИЧ существует инкубационный период, длительность которого необходимо учитывать при лечении [1]. В подобных условиях регуляторы, синтезированные без учета запаздываний, могут оказаться недостаточно эффективными для ...
Added: June 11, 2020
Shnourkoff P. V., Засыпко В. В., Вестник МГТУ 2014 № 2 С. 101-115
A mathematical optimal control problem formulated on the basis of the closed-form
dynamic problem of three-sector economy is studied. The system state is described
by a set of functions of specific capital in each sector; the control parameter is the
quantity characterizing a volume of specific investments of the fund-creating sector
playing a key role in the economic system. ...
Added: January 30, 2014
Afanasiev V., , in : Preprints of the IFAC Conference on Manufacturing Modelling, Management, and Control MIM ‘2013 June 19 to 21, 2013, Saint Petersburg, Russia. : St. Petersburg : -, 2013. P. 1505-1509.
An optimal control problem is formulated for a class of nonlinear systems which can be presented by system with linear structure and state-depended coefficients (SDC). The system being under the influence of uncontrollable disturbance is supposed. The linearity of the transformed system structure and the quadratic functional make it possible to pass over from the ...
Added: September 23, 2013
Saakian D., Yakushkina T., Hu C., Scientific Reports 2016 Vol. 6
We propose a modification of the Crow-Kimura and Eigen models of biological molecular evolution to include a mutator gene that causes both an increase in the mutation rate and a change in the fitness landscape. This mutator effect relates to a wide range of biomedical problems. There are three possible phases: mutator phase, mixed phase ...
Added: September 16, 2016
Springer International Publishing, 2019
This book constitutes the refereed proceedings of the 9th International Conference on Optimization and Applications, OPTIMA 2018, held in Petrovac, Montenegro, in October 2018.The 35 revised full papers and the one short paper presented were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections on mathematical programming; combinatorial and discrete optimization; optimal control; optimization in ...
Added: January 14, 2019
Kapalin V. I., Шаповалова Н. Е., Промышленные АСУ и контроллеры 2012 № 10 С. 14-17
An algorithm for the design of linear regulators for nonlinear control objects is suggested. The algorithm is based on interpolation technique and state-space method. An example of the suggested design method in MATLAB is given ...
Added: November 29, 2015
[б.и.], 2017
This volume contains proceedings of the 8th International Conference ”Optimization and Applications” (OPTIMA-2017) that was held in Petrovac, Montenegro, during October 2-7, 2017. The Conference brought together researchers and practitioners working in the field of optimization theory, methods, software and related areas. Optimization is now a rapidly growing area in computer science. It is widely ...
Added: November 14, 2017
M. : [б.и.], 2018
Book include abstracts of reports presented at the IX International Conference on Optimization Methods and Applications "Optimization and applications" (OPTIMA-2018) held in Petrovac, Montenegro, October 1 - October 5, 2018. ...
Added: October 9, 2018
Daryin A., Куржанский А. Б., , in : Proceedings of 51st IEEE Conference on Decision and Control. : Maui : Institute of Electrical and Electronics Engineers, 2012.
The estimation of reachability sets for systems of high dimensions is a challenging issue due to its high computational complexity. For linear systems, an efficient way of calculating such estimates is to find their set-valued approximations provided by ellipsoidal calculus. The present paper deals with various aspects of such approach as applied to systems of high dimensions with unknown but bounded ...
Added: November 6, 2012
Дмитриев М.Г., Сачков Ю. Л., Дифференциальные уравнения 2013 Т. 49 № 11 С. 1381-1389
В одной задаче оптимального управления, связанной с восстановлением поврежденного изображения, при регуляризации простейшего функционала энергии показывается, с помощью построения и анализа асимптотики решения соответствующей сингулярно возмущенной задачи, что оптимальное управление наряду с магистральным участком содержит и зоны быстрого изменения на границах интервала. ...
Added: November 15, 2013
Afanasiev V., Андрюхина В. М., Проблемы управления 2012 № 3 С. 41-48
The human immunodeficiency virus infection, that causes Acquired Immune Deficiency Syndrome (AIDS), is a dynamic process that can be modeled via differential equations. The paper introduces
a methodological problem of use of modern mathematical and information methods to boost the response of the immune system by means of drug scheduling. The control purpose is to steer ...
Added: March 21, 2013
Alexander P. Afanas’ev, Sergei M. D., Pchelintsev A. et al., Optimization Letters 2018 Vol. V.12 P. 1-11
We present a method for synthesis of optimal control with feedback of nonlinear systems with separated linear part via quadratic criteria. This method is based on a specialmethod of successive approximations, which allows, under standard assumptions, to find optimal control within any finite time interval and to get the procedure of its construction. An example ...
Added: February 14, 2019
Trautmann P., Vexler B., Zlotnik A., / Cornell University. Series "Working papers by Cornell University". 2017. No. 1702.00362.
This work is concerned with the optimal control problems governed by the 1D wave equation with variable coefficients and the control spaces $\mathcal M_T$ of either measure-valued functions $L^2(I,\mathcal M(\Omega))$
or vector measures $\mathcal M(\Omega,L^2(I))$. The cost functional involves the standard quadratic terms and the regularization term $\alpha\|u\|_{\mathcal M_T}$, $\alpha>0$. We construct and study three-level in time bilinear ...
Added: February 2, 2017
Bonilla M., Azhmyakov V., Malable M., IFAC-PapersOnLine 2017 Vol. 50 No. 1 P. 10822-10827
This paper discusses a novel implementable approach to an exact linearization procedure based on the implicit systems techniques. The formal procedure we propose includes a specific “splitting” of the nonlinear state representation in two parts that involve a basic rectangular representation and an auxiliary nonlinear algebraic equation. The proposed linear implicit systems description makes it ...
Added: October 30, 2021