Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
28
3-4
1996
Using R-Functions to Solve Problems in Spatial Visualization of Geometric Objects
1-6
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
A method for obtaining a mathematical description of complex-structure geometric objects that is based on the use of R-functions is examined. One can use such a description in obtaining a display file for computer graphics. In can turn out to be useful also in computing the physical fields generated by these objects. The obtained results are illustrated by a specific example.
Synthesizing the Mathematical Model of an Extremal Control Object by a Gedanken Complete Factor Experiment
7-15
Oleg V.
Babak
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
The problem of synthesizing a mathematical model of an extremal control object which is optimal in some sense from the data of a passive experiment is considered. It is shown that this problem can be reduced to a smooth extremal problem with an equality constraint that can be solved by the Lagrange method. A series of relationships that allow one to simplify the solution of the posed synthesis problem in practice is found.
Synthesis of a Terminal Control System in an Orthogonal-Function Basis
16-23
S. A.
Sokol
Kiev Institute of Civil Aviation
Anatoliy A.
Tunik
Institute of Electronics and Control Systems of National Aviation University, Kiev, Ukraine
The problem of synthesizing an optimal control for a linear stochastic terminal system is examined, and solved by expanding the dynamic characteristics of signals and systems in a rectangular orthogonal function basis.
Features of Taking the Constraints on Control Actions into Account When Solving Optimization Problems by the Inverse Dynamics Problems Method
24-27
S. V.
Malyshenko
Kiev Air Force Institute (KI VVS)
L. M.
Artyushin
Kiev Air Force Institute (KI VVS)
A feasible method of taking constraints on the control organs into account when synthesizing optimal control laws by the inverse dynamics problems method is presented.
Minimum-Time Control Problem with Mixed Constraints
28-40
F. L.
Chernousko
We consider the minimum-time control problem for a simple system of the second order with mixed constraints on control actions and phase coordinates. A synthesis of minimum- time controls is constructed. As an example, we consider a control problem for a DC electric motor.
Suboptimal Control: HL-algorithm for Solution of Stabilization Problem
41-52
V. N.
Afanasiev
Bauman Moscow State Technical University, 2 Baumanskaya ul., 5, Moscow 105005, Russia
C. C.
Gracheva
A. N.
Danilina
A suboptimal algorithm is presented for solution of stabilization problem based on simultaneous investigation of behaviour of the Hamiltonian and Lagrangean on trajectories of the system. The proposed algorithm allows us to optimize in real time the functioning of both linear and nonlinear plants in accordance with a given performance functional and subject to constraints on control actions.
The Use of Matrix Pencils in an Identification Problem
53-62
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The method of matrix pencils for estimating the parameters of linear stationary systems with a single input and a single output is generalized. A numerical example is included for illustrating the results.
Adaptive Information in the Problem of Measurement Control
63-70
V. G.
Pokotilo
I. Yu.
Onopchuk
An examination is made of the expediency of adaptive control of measurements that takes into account information regarding the realized signal by the current instant of time under the assumption that the perturbations and the unknown finite-dimensional vector of the parameters satisfy quadratic constraints. It is shown that the optimal adaptive choice of the parameters of the system coincides with the solution of the problem of program control, which does not use the values of the signal realized.
Some Minimax Problems of Matrix Parametric Optimization
71-82
M. V.
Osipchuk
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
An examination is made of the problem of minimax parametric optimization for matrix differential equations with constraints on the phase coordinates. Necessary conditions for an extremum are proposed in a form analogous to the matrix maximum principle. Such problems arise in the design of optimal systems of acceleration and focussing.
An Algorithm for Nonstochastic Identification of Controlled-Object Parameters
83-100
Z. Zh.
Ametzhanova
The set-theoretic (nonstochastic, guaranteed) approach [1-3, 5-7] is used widely in for solving identification problems when only the sets of the possible values of the object's unknown parameters are specified. This approach allows one to track the evolution of the multidimensional ellipsoidal estimates (approximations) that are guaranteed to contain the object's unknown parameters vector. According to the general schema for solving identification problems by the set-theoretic approach, every ellipsoidal estimate is an intersection of two sets. One of them is the result of processing all past information, and the other corresponds to the latest measurement of the object output. Investigations associated with the construction of set estimates of the unknown parameters vector and the solution of the identification problem in its nonstatic posing are continued in this paper. In contrast with existing algorithms, a new structural variant of the ellipsoidal estimates of the unknown parameters for the case in which several layers that correspond to the latest measurements of the object output intersect with the a-priori ellipsoidal set is proposed here.
Sufficient Conditions of Stabilization and Estimation of Systems with Delays on the Basis of Incomplete Observations
101-109
A. V.
Danilin
The paper is devoted to the problem of estimation of the state vector of a multidimensional system with delays on the basis of observations supplied with time delays, and to the synthesis of a stabilizing control using the estimated vector in a feedback that may also contain delays. Making use of the mathematical apparatus of the Lyapunov-Krasovskii functionals, sufficient conditions are obtained in the form of algebraic inequalities which must be satisfied by matrices of system parameters, by the matrix of observations and by the values of delays in order that, first, an asymptotic observer could be constructed and, second, a linear feedback stabilizing the whole system could be synthesized.
Estimates of the Mean Value of a Poisson-Distributed Random Vector
110-117
Alexander G.
Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Nikolay P.
Lepekha
Kyiv National Taras Shevchenko University, Kyiv
Variational Convergence of Optimal Control Problems for Elliptic Systems
118-131
Peter I.
Kogut
Oles Honchar Dnepropetrovsk National University
The properties of Γ-compactness for optimal control problems on a family of elliptic systems, where the main operator depends on a small parameter, are elaborated. The structure of Γ-limits for optimal control problems is obtained.
Convergence Rate Estimation of Criteria of Model Selection
132-143
Tatyana I.
Aksenova
Zhozef Fourier University, Grenoble, France
Two-Level Coordinating Control of a Manipulational Robot with Kinematic Redundancy
144-151
Gennadiy A.
Tsybulkin
E.O. Paton Electric Welding Institute of National Academy of Sciences of Ukraine, Kiev
An approach to the construction of a system of control of the motion of a manipulational robot with kinematic redundancy is proposed. The approach is based on realization of the idea of separating the motion at the mechanical level within the framework of the method of coordinating control. The results of model experiments are presented.
Relative Navigation in the Problem of Getting a Movable Object into a Terminal Set
152-160
Dmitriy V.
Lebedev
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
Alexander I.
Tkachenko
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
An investigation is made of the problem of informational software of a system of control of a movable object that is being shifted in a resistive medium to a terminal set G that is the ε−neighborhood of a movable point C. Variants of the construction and algorithmic support of an informational system in the form of an inertial navigational system of the platformless type [1] are discussed. The material treated is a development of [2].
Sensitivity of Multidimensional Discrete Linear Models with Delays
161-169
A.I.
Ruban
Sumy State University, 2, Rymskogo-Korsakova St., Sumy, 40007, Ukraine
A method is developed for minimization of the number of equations being solved in computation of the output of a linear dynamic model and all sensitivity functions. Considered models are specified in the canonical form by a system of linear difference equations with pure delays. Points of sensitivity in dynamic equations are singled out, based on the use of the operator form of discrete equations in time domain. As an example, multidimensional parallel models are considered.
On Control of Set of Trajectories under Bounded Disturbance
170-177
A. M.
Shmatkov
A method is described for control of a set of trajectories in the presence of a bounded disturbance and under influence of control on the matrix of a linear controlled system. The method is based on the theory of globally optimal ellipsoids.
Use of the Optimal Lyapunov Functions Method in Interval Stability Problems
178-184
Denis Ya.
Khusainov
Kiev National Taras Shevchenko University, Kiev
R.
Mustafayeva