Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
36
1
2004
Properties of Optimal Sets of External Practical Weak Stability of Differential Inclusions
1-10
10.1615/JAutomatInfScien.v36.i1.10
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Vladimir V.
Pichkur
Kyiv National Taras Shevchenko University, Kyiv
Necessary and sufficient conditions for point belonging to the boundary of a maximal domain of external practical weak stability of differential inclusions are obtained. For a linear inclusion under convex phase constraints, corresponding criteria are constructed. Optimal functions of deformation for specific phase constraints are found.
On Inversion of the Problem of Analytical Designing the Controllers
11-18
10.1615/JAutomatInfScien.v36.i1.20
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The problem inverse to the synthesis problem of a controller optimal with respect to quadratic functional is considered for linear stationary system. This problem is formulated as follows. For the given matrices which describe the system dynamics and the controller matrix it is necessary to determine the weight matrices of quadratic functional. The offered algorithm of this problem solution includes the procedure of finding the set of solutions to select the solution satisfying certain criteria.
On Substantiation of the Proportional Navigation Method in the Simple Pursuit Problem
19-27
10.1615/JAutomatInfScien.v36.i1.30
Alexey P.
Ignatenko
Institute of Software Systems of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Arkadiy A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The method of proportional navigation in the simple pursuit problem in n-dimensional space is studied. Interconnection of the method with methods of parallel pursuit and pursuit path is investigated. A parametric equation describing all mentioned pursuit methods is formulated. The resolving function of the proportional navigation method is introduced and substantiated. Boundedness of time of the family of proportional navigation methods is proved.
Construction of a Stability Domain of Linear Digital Systems in the Space of Parameters which Enter Nonlinearly the Coefficients of a Characteristic Equation
28-37
10.1615/JAutomatInfScien.v36.i1.40
Sergey L.
Movchan
Consulting center "BIZON", Ternopol, Ukraine
We consider construction of stability domains of linear digital systems in the space of parameters entering nonlinearly the coefficients of a characteristic equation. Owing to the use of a digital analog of the D-partition method and the developed algorithm a stability domain of a real digital system is obtained. The proposed method results in the best accuracy of finding of a stability domain and is more effective and economical in the view of machine realization being compared with existing universal numerical methods.
Contradiction between Conditions of Mean-Root Square Error Minimization and Integral Root Mean Estimate in Tracking Systems with the Principle of Deviation Control
38-49
10.1615/JAutomatInfScien.v36.i1.50
Grigoriy F.
Zaitsev
State University of Information and Communication Technologies, Kiev
Grigoriy D.
Radzivilov
Kiev Military Institute of Telecommunication and Informatics of National Technical University of Ukraine "Kiev Polytechnical Institute", Ukraine
Nelya V.
Gradoboyeva
State University of Information and Communication Technologies, Kiev, Ukraine
It is shown that in contrast to open-loop systems peculiarity of automatic control systems with control principle based on deviation (systems with negative feedback) consists in contradiction between conditions of minimality of error and quadratic integral estimate of transient processes on entering its input of one random set-point action. It was ascertained that the minimal value of mean-root square error for these systems is reached for values of their amplification factor for open-loop state close to stability threshold, when slowly decreasing transient processes arise (considerable quadratic integral estimates). We construct recommendations for compromise selection of amplification factor of the tracking system.
Numerical Simulation of Dynamic Processes Described by a Pseudohyperbolic Equation with Conjugation Conditions
50-58
10.1615/JAutomatInfScien.v36.i1.60
The computational algorithms of a higher order of accuracy for digitization of a new class of problems describing dynamic processes in multicomponent media by pseudohyperbolic equations with conjugation conditions of a nonideal contact have been constructed.
On Solving the Problem of a Differential Game for Distributed Dynamic Systems
59-64
10.1615/JAutomatInfScien.v36.i1.70
Sergey V.
Sokolov
Rostov State University of Railway Transport (Russia)
We propose the approach which enables to solve the synthesis problem of optimal controls for players which are distributed dynamic systems if the complete information about the object model of an opponent and its objectives is known. An example, illustrating the possibilities of the practical use of the considered approach, is given.