Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
31
10
1999
Synthesis of Adaptive Functional Optimal Control Systems (Strong Adaptive Systems)
1-8
Vsevolod M.
Kuntsevich
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
The problem of synthesis of functional optimal control ("strong adaptive control system") system under assumption that only rough enough set membership estimates are given and under bounded disturbances is considered. The performance criteria of the system is calculated along trajectory of system motion under convex specific loss function. Iterative, finite step convergent method of solving of synthesis (only suboptimal in general statement) problem is proposed.
On Global Attractors of Non-Autonomous Infinite Dimensional Dynamical Systems without Uniqueness of Solution
9-18
S. I.
Vasilkevich
Valeriy S.
Melnik
Institute of Applied System Analysis of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev
V. V.
Slastikov
We have developed the new method of investigation of global attractors and ω-limiting sets of non-autonomous infinite dimensional dynamical systems without uniqueness of solution. We consider multivalued semi-processes in banach spaces. As an example, the nonlinear reaction-diffusion system of partial differential equations is considered.
Domains of "Indifferent" Control in the Problem of Regulation of a Coach Group Rolling-Down Velocity
19-25
Igor V.
Zhukovitskiy
Dnepropetrovsk State Technical University of Railway Transport, Ukraine
A nondeterministic, essentially nonlinear digital control system with changeable structure is considered. It is shown, that for optimum set-up of a regulator, ensuring the control goal, application of discretic variant of a method of dynamic programming in stochastic statement is possible. It was supposed, that using this method it will be possible to divide the space of states into several areas, inside which it is necessary to apply control prescribed for this area. However, in the course of calculation there were found areas of space of states inside which the total error of control does not depend on control actions with accuracy to small values µ the areas of indifferent control. Such indifferent areas enables one to ensure certain compenstation of errors in identification the object coordinate, and also to increase a step of quantization during management.
On the Reconstruction of a Pair "Control-Trajectory" in a System with an Aftereffect
26-35
V. I.
Maksimov
Institute of Mathematics and Mechanics, Ural Department of Russian Academy of Sciences, Ekaterinburg
M. S.
Blizorukova
We consider a problem of dynamical reconstruction of the pair "control-trajectory" with an aftereffect. We suggest the new algorithm which is proof against informational interferences and miscalculations. The algorithm is based on the principle of extreme aiming known in the theory of point-to-point control.
The Control for Conditions of Technical Stability for Nonlinear Parametrically Excitable Processes. Part II
36-46
Konstantin S.
Matviychuk
Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Sufficient conditions were obtained for the technical stability on the bounded and infinite time intervals as well as for asymptotic technical stability for solutions of the nonlinear problem about the panel flatter in the real Hilbert space. The definition of the corresponding differential comparison inequalities is based on extremal properties of the Rayleigh ratio for self-conjugated operators in Hilbert spaces. This approach is connected with the solution of the eigenvalue problem with time argument as a parameter.
On One Class of Approach Game Problems with Variable Structure
47-53
Ivan I.
Matychyn
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The method of the resolving functions concerning the application of the evader's mistakes and decrease of the time of the game termination is studied for the quasi-linear game approach problems. The explicit form of the resolving function is given for the ellipsoidal parameters of the conflict-controlled process.
On One Method for Investigating Game Approach Problems
54-59
Alexander S.
Kovalenko
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, Kiev
Kirill A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
The method of the resolving functions concerning the application of the evader's mistakes and decrease of the time of the game termination is studied for the quasi-linear game approach problems. The explicit form of the resolving function is given for the ellipsoidal parameters of the conflict-controlled process.
Fuzzy Estimation of Process State by Linear Observations in Continuous Time
60-65
Nataliya N.
Kussul
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
The algorithm for continuous system state observation using fuzzy ellipsoidal method was developed. The fuzzy multiple estimates were successfully applied to solve problems without a priori information about the estimated vector.
Modeling of Water Flow by the Generalized Kirchhoff Law
66-69
Valentin V.
Ostapenko
Research and Training Complex "Institute of Applied System Analysis" of National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv, Ukraine
Georgiy S.
Finin
Solomon International University, Kiev, Ukraine
In the paper the generalized principle of conservation of streams in networks is justified. For this purpose the questions of modeling and control in water distribution problems and in the problems of distribution of gas streams are considered.
Application of Approximation Methods of Iterated Stratonovich and Ito Stochastic Integrals to Numerical Simulation of Controlled Stochastic Systems
70-83
Dmitriy F.
Kuznetsov
St. Peterburg State Technical University, Russia
The paper deals with the problem of simulation of the controlled stochastic systems. The method of iterated Ito stochastic integral approximation based on multiple integral sums is proposed. The method of iterated Stratonovich integrals approximation based on multiple Fourier series is also proposed. Approximations of the iterated Stratonovich stochastic integrals by means of polynomial and trigonometric systems are considered. The general formulae of approximations of iterated Stratonovich and Ito stochastic integrals of k multiplicity are derived. The mean-square convergence of the methods described is proved.
Characteristic Properties of Representation and Information Processing when Computer-Aided Forming of Mathematical Complex Systems Models
84-88
S. I.
Shapovalova
We develop the method of knowledge representation which uses the logic model enlarged by extra structuring. The method enables representation of ramified inferences forming the models of complex models and reduces the number of records in the data base by a factor of 103−104. We realize the method in the forming system of the mathematical model of a heat conductivity process.
Mathematical Modeling of the Process of Disturbed Geomagnetic Field Formation as a Possible Earthquake Precursor
89-94
Yuriy P.
Ladikov-Roev
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Victor I.
Panchuk
Institute of Space Research, National Academy of Sciences and National Space Agency of Ukraine, Kiev
Georgiy A.
Chechko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
The mathematical model for investigation of possible influence of elastic waves arising in limited cracked zone on the earth magnetic field in the training period of earthquake is suggested.
On Integrating Navigation Systems
95-98
Problem of correction of errors of strapdown inertial navigating system by results of estimations, which received from satellite navigating system is considered. The problem is considered within the framework of the Kalman filter. This way, algorithm of calculation of Cholesky factor of a covariance matrix is offered.
Spacecraft Control with Redundant Effectors
99-110
Evgeniy M.
Potapenko
Zaporozhye National Technical University, Zaporozhye
V. G.
Bichay
State Technical University, Zaporozhye
For two schemes of the electromechanical effectors, which consist of four electric motor fly-wheels, the algorithms for forming control torques were synthesized. These algorithms are invariant or robust with respect to a fault of any fly-wheel electric motor. Also, the algorithms for detection of the fault fly-wheel electric motors were suggested.
The Optimization of Atmospheric Maneuver for Mars Orbiter Insertion
111-122
A. V.
Novitskiy
V. V.
Zelentsov
The aerodynamic maneuvering for spacecraft transition from a hyperbolic trajectory onto the orbit of Mars orbiter insertion with a non-coplanar trajectory is under consideration. The objective of this studying is the expenditure decrease. For this atmospheric section we proposed the computing technique for determining the optimal control law. The numerical results are given.