Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
47
11
2015
Parametric Synthesis of Digital Stabilization System of Tank Gun
1-17
Tatyana Ye.
Aleksandrova
National Technical University "Kharkov
Polytechnic Institute", Kharkov
Yevgeniy Ye.
Aleksandrov
National Technical University "Kharkov
Polytechnic Institute", Kharkov
The problem of choosing variable parameters of the digital guidance system and stabilizing elastic tank gun that consists in successive solution of mathematical modeling problems of perturbed motion of a stabilizable object,
the simulation of external disturbances acting upon the gun while the tank moving over a random surface; developing the methods of parametric synthesis of a complex system with a digital stabilizer and a comparative
analysis of closed system with digital stabilizer and comparative analysis of closed systems with different algorithms of guidance and stabilization as well
as practical recommendations on building digital guidance system and stabilization are considered.
Investigation of Continuous Systems Oscillatory Processes Created with the Multiplicity Factor of the Eigenvalues of the State Matrices
18-35
Nina A.
Vunder
Saint Petersburg State University of
Information Technologies, Mechanics and
Optics, Saint Petersburg (Russia)
Anatoliy V.
Ushakov
St. Petersburg State University of Information Technologies, Mechanics and Optics Russia
The stable continuous systems whose state matrix has spectra of multiple eigenvalues are considered. The problem is solved at eigenvalues multiplicity equal to the state vector dimension, first consideration is given to
the case of real eigenvalues, and then − the case of complex conjugate ones. It was shown that if a modulus of the real eigenvalue was less than unity, then in the trajectories of the system free motion by the norm of its state vector there is observed a deflection alternating by monotone convergence of trajectory to zero. It was established that the deflection magnitude was the
larger the smaller was the modulus of the real eigenvalue and the larger was its multiplicity. If the continuous system state matrix has the spectrum of complex conjugate eigenvalues, then at the value of the real part of complex
conjugate eigevalue smaller than unity, as in the case of eigenvalues real spectrum, there occur the deflections of trajectories whose magnitude is the larger the smaller is its modulus and the larger is its multiplicity.
Suboptimal Nonlinear Control for Operation Speed Criterion on the Basis of Invariant Immersion Method
36-47
Valeriy F.
Kudin
National Technical University of Ukraine
"Kiev Polytechnic Institute", Kiev
Bogdan I.
Pryymak
National Technical University of Ukraine
"Kiev Polytechnic Institute", Kiev
The general-theoretical task of suboptimal nonlinear control algorithm synthesis is studied. It is considered on the example of a two-mass electromechanical system of the crane moving mechanism, taking into account the oscillation damping of the load transported. The task is solved on the basis of the Bellman-Lyapunov method, using the invariant immersion concept for operation speed criterion. The analysis of a feedback system
dynamics with the synthesized suboptimal controller is performed.
Strong Global Attractor for the Three-Dimensional Navier−Stokes System of Equations in Unbounded Domain of Channel Type
48-59
Natalya V.
Gorban
Educational-Scientific Complex of Institute
for Applied System Analysis of National
Technical University of Ukraine "Kiev
Polytechnic Institute", Kiev
A. V.
Kapustyan
Kiev National Taras Shevchenko University, Ukraine
Elena A.
Kapustyan
Kyiv National Taras Shevchenko University, Ukraine
O. V.
Khomenko
Institute for Applied System Analysis of
National Technical University of Ukraine
"Kiev Polytechnic Institute", Kiev
Modified three-dimensional Navier−Stokes system in unbounded domain, which holds the Poincare inequality, is considered. Unique global solvability is proved, for the corresponding semigroup the existence of the global attractor in strong topology of phase space was ascertained,
convergence of the obtained attractors to the set of bounded trajectories of the Navier−Stokes 3D-system is shown.
Development of the Methodology of Estimating of the Effectiveness in the Space Activity
60-73
Ludmila I.
Samoilenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev
Ludmila N.
Kolos
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev, Ukraine
The problem of modeling and analysis of the effectiveness of space activity is solved. The space activity is considered as a complex semistructured and weak formalized object of study, which is a multidimensional, multiply
connected, multicriterial system. To obtain the estimates on the basis of the set of criteria it is proposed to use a modified (simplified) version of the method of the hierarchies analysis. The effectiveness of this approach is illustrated by the example of the analysis and ranking of projects on the study of space objects.
On Nonstationary Game Problem of Motion Control
74-83
Alexey A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
For investigation of nonstationary conflict-controlled processes with terminal cost function we proposed analytical approach on the basis of the method of resolving functions. Here we used the idea of duality in convex analysis, in particular, conjugate functions tools. Example with key role of the generalized distance is adduced.