Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
30
4-5
1998
Control Problems of a Manipulator
1-14
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
A manipulator is considered as a control system of rigid bodies. Problems of parameterization of an open-loop trajectory and synthesis of a stabilization system are studied. The proposed procedure of parameterization allows us to use the well-known algorithms for the choice of the speed of motion of a manipulator with regard to potentialities of actuators. The synthesis of the stabilization system is carried out by using a Lyapunov function. An example of synthesis of an adaptive control algorithm of a manipulator is considered.
Impact of Structure of Generalized Forces on the Stability of Motion of Linear Periodically Nonstationary System
15-20
Ludmila I.
Samoilenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev
This paper is devoted to the problem of synthesis of the quasicontinuous controlling medium for the stabilization of weakly inertial electrodynamical objects. The author proposes the resonance chain with parametric stimulation as an elementary subsystem. The processes in the subsystem are described by a linear stationary operator with a small periodic perturbation. In order to study the characteristics of the chain, the frequency shift method is used, and the influence of the structure of generalized forces acting in the subsystem to the properties of this system was estimated. This analytical method shows us the direction of modification of the chain for the purposes of synthesis of the controlling device with the required properties.
To the Construction of Parametric Families of Ellipsoidal Estimates and their Optimization in Problems of the Nonstochastic Identification of Parameters and State of Many-Dimensional Discrete Control Objects
21-35
Victor V.
Volosov
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
The methods for obtaining the parametric families of ellipsoids containing the intersection of the initial ellipsoid with a cylinder or with an arbitrary number of layers, each of which is bounded by two parallel hyperplanes are proposed. The algorithms for estimation parameters and the initial state of multivariable control objects are developed under the assumption that the vector of errors of observation satisfies the given quadratic or geometric constraints. The algorithms are not sensitive (robust) to the errors in the a priori estimates and computational errors.
Study of Convergence of a Fuzzy Observation Algorithm for Multivariate Dynamical Systems
36-41
Nataliya N.
Kussul
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Convergence conditions for a fuzzy observer of multivariable dynamical systems are obtained by using Lyapunov functions.
Optimal Control Using Nonlinear Probabilistic Tests
42-50
Sergey V.
Sokolov
Rostov State University of Railway Transport (Russia)
A method is proposed that allows one to carry out an exact a posteriori synthesis of control laws of nonlinear stochastic objects which are optimal in the sense of probabilistic tests of the general form. The advantages of the method proposed as compared with traditional one are shown, and an example of its practical use is considered.
Deformation and Energetic Tests for Optimization of Residual Stresses in Shells
51-60
D. G.
Khlebnikov
L'vov State University, L'vov
I. A.
Prokopishin
L'vov State University, L'vov
An energy test for optimizing residual stresses in anisotropic bodies and shells is proposed on the basis of introducing an energetic norm in the deformation space. The deformation test by Yu. I. Nyashin was formulated for shells. The optimization problem of residual stresses in a welding rod system is considered as an example.
Analysis of Discretization Methods of Continuous Dynamical Systems in Problems of Simulation and Control
61-72
Yu. E.
Ivanov
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev
G. F.
Bublik
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev
The influence of discretization methods to properties of digital models of a continuous system is studied. The object of the study consists in an oscillation system of the second order, which is discretizated by using formulas of numerical integration, the state space equation, and the method of invariance of the impulse characteristic. An equivalent proper frequency and equivalent damping coefficient are introduced in order to estimate characteristics of free oscillations of the discrete system of the second order.
Computational Method for Determination of Inertia Moments of Revolution Bodies with Respect to Geometrical Axes
73-78
I. F.
Radchenko
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Gennadiy M.
Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
An analytic method for determination of inertia moments is proposed in which an object is given in the form of an implicit function of coordinates. This method is considered for complex geometrical objects in the case where their mathematical models are given by the R−function. The method proposed is illustrated by a specific example.
Simulation Modeling of Devices for Diagnosing the Operative Memory Microchips
79-85
A. A.
Timchenko
Cherckassy Engineering Techological Institute, Cherkassy
V. G.
Ryabtsev
Cherckassy Engineering Techological Institute, Cherkassy
R. A.
Lizogub
Cherckassy Engineering Techological Institute, Cherkassy
J. A.
Saliu
Cherckassy Engineering Techological Institute, Cherkassy
Mathematical models that are proposed to apply in realization of the immitation simulation of diagnostic devices of high-speed memory microchips are considered. In the process of execution of immitation experiments, one studies sequences of operations and address passages that arise in programs of diagnostic tests being examined.
Application of the Group Method of Data Handling for Constructing Collective Estimates of Properties of Organic Compounds on the Basis of Inductive Search for Their "Structural Spectra"
86-104
M. I.
Kumskov
Institute of Organic Chemistry of Russian Academy of Sciences, Moscow
D. F.
Mityushev
Moscow State University, Moscow
The task for searching for tuples of generalized fragments of molecules for forming quantitative structure-property (activity) relationships (QSPR-QSAR) on the basis of self-organizing of linear models by A. G. Ivakhnenko (method of data hand, MDH) is considered. The GMDH-approach for construction and selection of complex interconnected fragments that are formed on the basis of combinatorial sorting the base connected fragments of a given complexity and also the MGDH-scheme for solution the "inverse" QSAR problem by using the generation of molecular graphs that form a path of the minimal length between two objective structure in the space of labeled graphs are considered.
Asymptotic Stability of Invariant Sets of Nonlinear Differential Inclusions
105-114
O. P.
Gavril'chenko
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
The strong asymptotic stability of dynamical systems that are described by differential inclusions is studied. The stability of invariant sets of nonlinear differential inclusions is treated in terms of algebraic properties of linearized systems.
On Solution of a Certain Integer Programming Problem of a Specific Form
115-120
Ivan V.
Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
V. A.
Roshchin
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
A special class of integer linear programming problems is considered. An implicit search algorithm is proposed in order to solve this problem. The efficient of this algorithm is examined via computational experiments.
On Optimization Problems for Mixed Systems. Part II
121-125
Valeriy S.
Melnik
Institute of Applied System Analysis of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev
D. E.
Akbarov
National Technical University "Kiev Polytechnical Institute"
Vasiliy V.
Yasinskiy
National Technical University of Ukraine "Kyiv Polytechnical Institute", Kyiv
Optimal control problems of objects that are described by mixed systems of differential and integral equations are considered. Conditions for solvability and some properties of extremal problems considered are presented in this second part of the paper.
Variational S-Convergence of Minimization Problems. Part I. Definition and Basic Properties
126-137
Peter I.
Kogut
Oles Honchar Dnepropetrovsk National University
Procedures for the Analysis of Models of Linear Programming at the Stages of Preoptimization and Postoptimization
138-143
Vladimir I.
Kudin
Kiev National Taras Shevchenko University, Ukraine
V. V.
Pavlova
Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev
Statements that form a basis for the synthesis of the human-machine procedures for the analysis of models of linear programming at the stages of preoptimization, optimization, and postoptimization are formulated.
Multicriteria and Multiparameter Analysis of Preference Functions in Job Ordering Problems. Part II.
144-153
Tadeush
Witkowski
Warsaw University, Poland
The multicriteria and multiparameter analysis of preference functions is presented in contrast to the monocriterial optimization of schemes of choice of such functions. This analysis consists in the study of the developed job ordering schemes and in establishing the fields of the most efficient application of these schemes.
Set-Like Filtration
154-164
By using the set-like approach, the statement and solution of the filtration problem of noised signals are considered in the case where the noise is a realization of a stationary uncertain process. The procedure for set-like filtration is described in the general case by difference equations of set evolution. A constructive solution is presented in the case where a model of "generator" of an informative signal that is linear in parameters is accepted. A set of linear inequalities that determine a posterior estimator of the vector of parameters in the form of a polyhedral set is obtained.
Fuzzy Ellipsoidal State Filtration Algorithm for a Static Object
165-178
Gennadiy M.
Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
Nataliya N.
Kussul
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Discrete- and continuous-time state filtration algorithms for a static object that are constructed by using fuzzy ellipsoidal sets are presented. Results of numerical simulation are given.
Joint Estimation of the Number and Carrier Frequencies of a Set of Signals
179-184
A. M.
Vagapov
Scientific Research Center, Kiev
Ildar R.
Urazgildiev
National Research Center of Defense Technologies and Military Security of Ukraine, Kiev
The problem on the joint estimation of the number and carrier frequencies of multiple signals is solved. Results of simulation are presented.
A Certain Combinatorial Problem in the Class of Permutations Over the Residue Ring Zn Modulo Odd n
185-192
A. A.
Levitskaya
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
The structural characteristics of elements of the set Gn = {(x1,..., xn}: {x1,...,xn = Zn,
{x1, x2, ⊕ 1,...,xn ⊕ n−1} =Zn}, where n is a certain odd integer, Zn is the residue ring
modulo n, and ⊕ is the addition modulo n, are studied, and the algorithm for determination of
(x1,...,xn) ∈ Gn is proposed.
Optimal Fuel Expenditure Control of the Angular Attitude of a Spacecraft
193-202
V. M.
Burlakov
National Technical University "Kiev Polytechnical Institute"
Alexander A.
Stenin
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
N. V.
Strakhova
National Technical University "Kiev Polytechnical Institute"
A control (optimal in the sense of the time-optimal fuel expenditure) problem of the angular altitude (stabilization) of a spacecraft is considered in the continuous- as well as in discrete-time statement. The synthesis of an optimal control algorithm for chosen performance indices is carried out on the base of the minimum principle and reachable sets that are constructed in the plane of the turn angles and on whose boundaries switchings of the optimal control are realized. An analysis of the results obtained is performed, which allows one to find a one-to-one correspondence between the duration of the optimal steering and a given turn angle of the spacecraft.
An Approach to the Design of the Information-and-Control Complex of Electromechanical Systems of "Standard Configuration"
203-209
Victor Yu.
Arkadiev
Kherson State Technical University, Kherson, Ukraine
Methods for construction and identification of parameters of the information-and-control complex of electromechanical systems of "standard configuration" on the basis of the generalized model are considered.
Automation of Synthesis of Algorithms for Diagnostics of High Speed Memory Chips
210-215
V. A.
Bashorun
Cherkassy Engineering and Technology Institute, Cherkassy
J. A.
Saliu
Cherckassy Engineering Techological Institute, Cherkassy
T. A.
Adesina
Cherkassy Engineering and Technology Institute, Cherkassy
V. G.
Ryabtsev
Cherckassy Engineering Techological Institute, Cherkassy
Problems and methods for automation of the synthesis of algorithms for diagnostics of a high-speed memory chips are considered. The solution of the problem posed is based on the representations of the graphs of the address transitions in the form of incidence matrices and on further transformation of these matrices with the use of the proposed formulas.
On the Problem of Elaboration of New Criteria for Control of Hierarchical Socio-Economic Systems
216-225
A. A.
Shiyan
Laboratory of Synergetics of Vital Processes, Modeling and Hardware, Khmel'nitsk
A class of mathematical models for describing the general aspects of the dynamics of socio-economic system characteristic to each level of hierarchy is constructed. The new criteria for the control of state of socio-economic systems of different levels of hierarchy are proposed.