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On LMI Approach to Robust State-Feedback H∞Control for Discrete-Time Descriptor Systems with Uncertainties in All Matrices
IFAC-PapersOnLine. 2017. Vol. 50. No. 1. P. 15483-15487.
Belov A. A., Andrianova O.
This paper deals with a state feedback H∞ control problem for linear discrete-time time-invariant (LDTI) uncertain descriptor systems. Considered systems contain norm-bounded parametric uncertainties in all matrices. Bounded real lemma (BRL) for descriptor systems with all known matrices is extended on the class of uncertain systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical example is included to illustrate the effectiveness of the present result.
Priority areas:
IT and mathematics
Language:
English
Belov A. A., Andrianova O., IFAC-PapersOnLine 2015 Vol. 48 No. 11 P. 372-377
The paper presents a solution of anisotropy-based suboptimal controller design problem for descriptor systems. The goal is to design a state feedback and full information control for the system such that the closed-loop system is admissible, and its anisotropic norm (mean anisotropy level is set) is bounded by a given positive real value. A numerical ...
Added: October 20, 2017
Belov A. A., Andrianova O., IFAC-PapersOnLine 2017 Vol. 50 No. 1 P. 15471-15476
The paper deals with linear discrete-time time-invariant (LDTI) descriptor systems with norm-bounded parametric uncertainties. The input signal is supposed to be a “colored” noise with bounded mean anisotropy. Sufficient conditions of anisotropic norm boundedness for such class of systems are given. The control design procedure, based on these conditions, is proposed. Numerical example is given. ...
Added: October 19, 2017
Belov A., Andrianova O., International Journal of Systems Science 2019 Vol. 50 No. 6 P. 1303-1312
This paper deals with a state feedback H ∞ control problem for linear time-invariant discrete-time
descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma
(BRL) is extended on the class of uncertain descriptor systems. The control design procedure based
on the conditions of BRL for uncertain descriptor systems is proposed. Numerical examples are
included to illustrate ...
Added: May 2, 2019
Andrianova O., Наука и образование: научное издание МГТУ им. Н.Э. Баумана 2014 P. 160-174
The paper presents a novel concept of anisotropy-based analysis for linear discrete-time descriptor systems with nonzero-mean input signals. Descriptor systems are a general case of normal systems. They contain both differential (difference) equations and algebraic equations. In this paper, the algorithm for mean anisotropy computation of the Gaussian stationary random sequence with nonzero mean (we ...
Added: October 20, 2017
Robust Anisotropy-Based Control for Uncertain Descriptor Systems with Transient Response Constraints
Andrianova O., Belov A., IFAC-PapersOnLine 2018 Vol. 51 No. 32 P. 515-520
In this paper, a problem of robust anisotropy-based control with regional pole assignment for descriptor systems with norm-bounded parametric uncertainties is concerned. The goal is to find a state-feedback control law, which guarantees desirable disturbance attenuation level from stochastic input with unknown covariance to controllable output of the closed-loop system, and ensures, that all finite ...
Added: December 16, 2018
Belov A. A., Andrianova O., Automation and Remote Control 2016 Vol. 77 No. 10 P. 1741-1755
A computationally efficient method for the design of a suboptimal anisotropic con- troller for discrete descriptor systems based on convex optimization methods is proposed. Nu- merical examples are given. ...
Added: October 20, 2017
Andrianova O., Kurdyukov A. P., Kustov A. Y., Journal of Computer and Systems Sciences International 2015 Vol. 54 No. 5 P. 10-23
Linear stationary discrete-time descriptor systems with input sequences of random Gaussian nonzero-mean vectors with bounded mean anisotropy are under consideration. Conditions of anisotropic norm boundedness for such systems are given in terms of generalized discrete-time algebraic Riccati equations (GDARE) and linear matrix inequalities (LMI). On basis of these results, the algorithm of anisotropic norm computation ...
Added: October 20, 2017
Andrianova O., Belov A. A., Kurdyukov A. P., Journal of Computer and Systems Sciences International 2015 Vol. 54 No. 1 P. 27-38
A class of systems, described by algebraic-difference equations, is under consideration. Such systems are called descriptor (singular). For these systems the conditions of anisotropic norm boundedness are obtained. Anisotropic norm describes the root mean square gain of the system with respect to random Gaussian stationary disturbances, which are characterized by mean anisotropy. The conditions are ...
Added: October 19, 2017
Kapalin V. I., Ведяшкина Наталья Евгеньевна, Промышленные АСУ и контроллеры 2015 № 6 С. 41-47
A simple technique for the design of P and PI-regulators for nonlinear control systems, which is based on the theory of minimax
approximations, is proposed. Unlike the widely known methods of harmonic and statistic linearization, the minimax linearization method used in the present paper does not require special suppositions concerning the input signal of the nonlinear ...
Added: November 29, 2015
Presnova A., Качество. Инновации. Образование 2016 № 5 С. 33-41
Built parametric suboptimal control of supply of drugs using the method of algorithmic design in the problem of stabilization of the cells of the immune system in patients with the HIV. A mathematical model describing the dynamics of HIV in the human body represents a nonlinear system of differential equations. In this paper uses the ...
Added: May 25, 2016
Presnova A., Afanasiev V., IFAC-PapersOnLine 2019 Vol. 52 No. 17 P. 42-47
In this paper, we consider the issue of synthesizing optimal control of nonlinear dynamic systems in case of a problem with an unspecified time of the transition process. To solve this problem, an algorithmic method for constructing a suboptimal control is suggested. The basis of this method is the behavior of the Hamiltonian on the ...
Added: January 8, 2020
Andrianova O., Белов А. А., , in : 2019 23rd International Conference on System Theory, Control and Computing (ICSTCC). : IEEE, 2019. P. 455-460.
The problem of robust admissibilization with guaranteed random disturbance attenuation level for discrete-time
time-invariant (LDTI) descriptor systems with norm-bounded
uncertainties is considered. The input disturbance is supposed
to be a stationary Gaussian sequence with bounded mean
anisotropy level. The solutions to analysis and robust statefeedback control problems are formulated in terms of matrix
inequalities. The obtained conditions are convex over ...
Added: December 5, 2019
Bliznets Ivan, Cygan M., Komosa P. et al., ACM Transactions on Computation Theory 2018 Vol. 10 No. 2 P. 1-32
The H-free Edge Deletion problem asks, for a given graph G and integer k, whether it is possible to delete at most k edges from G to make it H-free—that is, not containing H as an induced subgraph. The H-free Edge Completion problem is defined similarly, but we add edges instead of deleting them. The study of these two problem families has recently been the subject of intensive studies from the point of ...
Added: October 30, 2018
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Malyshev D., Дискретный анализ и исследование операций 2012 Т. 19 № 4 С. 66-72
Рассматривается конструктивный подход к формированию новых случаев эффективной разрешимости задачи о независимом множестве в семействе наследственных частей множества графов Free({P5,C5}). Именно, доказывается, что если эта задача полиномиально разрешима в классе Free({P5,C5,G}), то для любого графа H, который может быть индуктивно получен из G применением к текущему графу сложения с K1 или умножения на K1, эта ...
Added: August 31, 2012
Vostrikov A. V., Borisov N., Abrameshin A. E., Качество. Инновации. Образование 2013 № 8 (99) С. 61-65
In work research of numerical stability of earlier reduced scheme of numerical integration of system of the linear ordinary differential equations developed by authors is conducted. The received condition of numerical stability of the reducing scheme proves possibility of use of this scheme in practice. Operability of the reduced scheme was tested on a real ...
Added: September 9, 2013
Barcelona : IEEE, 2017
International Conference on Control, Decision and Information Technologies. ...
Added: January 17, 2018
Babash A. V., М. : ИНФРА-М, РИОР, 2013
Пособие предназначено для студентов высших учебных заведений, обучающихся по специальности «Прикладная информатика (в экономике)». Оно также содержит методический материал для ряда инновационных курсов лекций по профилю «Информационная безопасность» и может быть использовано и для блока дисциплин этого профиля. Ряд представленных результатов полезен специалистам и аспирантам, специализирующихся в указанной области. ...
Added: January 14, 2014
Yasnitsky L., Пермь : Пермский государственный национальный исследовательский университет. – Электронные данные. , 2020
The collection contains materials from the international conference "Intelligent systems in science and technology" and the Sixth all-Russian scientific and practical conference "Artificial intelligence in solving urgent social and economic problems of the XXI century", which was held on October 12-18, 2020 in Perm as part of the Perm natural science forum "Mathematics and global ...
Added: December 4, 2020
Yasnitsky L., Ваулева С. В., Сафонова Д. Н. et al., Всероссийский криминологический журнал 2015 Т. 9 № 3 С. 423-430
Modern criminalists do not share a common opinion regarding the choice of parameters which could be used to work out a system of characteristics to differentiate a maniac killer from an ordinary person. This hinders the development of efficient software for investigation purposes. The paper describes the experience of developing a neural network that can ...
Added: October 1, 2015
Furmanov K. K., Nikol'skii I. M., Computational Mathematics and Modeling 2016 Vol. 27 No. 2 P. 247-253
Added: December 22, 2016
Koldanov A. P., Koldanov P., Semenov D., Журнал Новой экономической ассоциации 2021 Т. 2 № 50 С. 12-34
. The problem of analysis of pairwise connections between stocks of financial market by observations on stock returns is considered. Such problem arise in stock market network analysis. It is assumed that joint distribution of stock returns belongs to the wide class of elliptical distributions. Classical Pearson correlation, Fechner correlation and Kendall correlation are used ...
Added: June 17, 2021
Vyalyi M., Дискретная математика 1991 Т. 3 № 3 С. 35-45
Added: October 17, 2014
Lanham : University Press of America, 2012
The history of logic and analytic philosophy in Central and Eastern Europe is still known to very few people. As an exception to the rule, only two scientific schools became internationally popular: the Vienna Circle and the Lvov-Warsaw School. Nevertheless, the countries included in this region have not only joint history, but also joint cultural ...
Added: February 13, 2013