Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
30
6
1998
Modal Approach to the Synthesis of Nonlinear Stabilization Systems
1-12
Sergey M.
Onishchenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
As an alternative to direct synthesis methods of stabilization systems, the paper considers a generalization of the modal approach to the synthesis of nonlinear stabilization systems by using the methodology of the inverse dynamics problem and inverse synthesis methods. The modal rigid synthesis method (MRS) and the nonlinear modal stabilization methods (NMS) are presented.
Two Approaches to the Structural Synthesis of Control Systems: Dynamical Filtration and Automatic Compensation
13-22
Leonid M.
Boychuk
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv
Alternative approaches to the synthesis of the control structure are considered. The first approach is based on the assignment of the desired dynamics of the closed-loop system, while the second one is based on the scheme for transforming the regulation error.
Multirate Discrete-Time Control Systems (Basic Approaches to Design)
23-33
Victor D.
Romanenko
Educational-Scientific Complex of Institute
for Applied System Analysis of National
Technical University of Ukraine "Igor
Sikorsky Kiev Polytechnic Institute", Kiev
A review and analysis of three alternative directions in the design of the multirate discrete-time control systems are given. The first direction is based on the discrete-time "input-output" models of the object in the form of the z-transform. The second direction presupposes the application of the mathematical models in the state space. The basis of the third direction consists in the use of operators with variable shift that were developed via the impulse lattice functions representing the dynamics of each of the channels of a multivariable control object.
An Approach to Modeling and Adaptive Control of Large Space Structures
34-41
Mikhail Z.
Zgurowsky
National Technical University of Ukraine "Kyiv Polytechnical Institute"
Petr I.
Bidyuk
Institute for Applied System Analysis of National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
An approach to the determination of the order of mathematical models of large space structures (LSS) on the basis of the lattice filters (LF) and application of the autoregressive moving average (ARMA) equations for description of dynamics of individual modes is proposed. The structure of the adaptive control system on the basis of the lattice filters and known types of regulators is developed.
Two Alternative Approaches to the Identification of Real Objects
42-52
Anton N.
Silvestrov
National Technical University of Ukraine "Kyiv Polytechnical Institute", Ukraine
It is proposed to divide all identification methods into two alternative classes. The first of them, which is an approximation method in the space of variables of the object being observed, has a set of solutions that satisfy the condition of approximation of the behavior of the object. For the second one, which is am approximation method in the space of unknown parameters of the object that are constantly changed, is a method for determination of their momentary values.
Adaptive Control in Conditions of Constantly Acting Perturbations: an Identification Approach
53-63
Leonid S.
Zhiteckii
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
The problem of the stabilization of the many-dimensional object with unknown parameters under presence of arbitrary perturbations with bounded rate of change is studied. It is shown that the adaptive control system can be constructed within the limits of the identification approach without whatever a priori information on the boundaries of the admissible values of parameters of the object and perturbations. The properties of the adaptive control algorithm are established. The results of modeling are presented.
Identification of Models of Dynamics of Blocks of Sensitive Elements of SINS
64-71
Leonid N.
Blokhin
Institute of Electronics and Control Systems of National Aviation University, Kiev
M. Yu.
Burichenko
Kiev International University of Civil Aviation, Kiev
O. P.
Krivonosenko
Kiev International University of Civil Aviation, Kiev
For the synthesis of optimal algorithms for the processing of information in the strapdown inertial navigation systems the models of dynamics of both the blocks of the initial data transmitters themselves and the vectors of output noises of blocks that appears in the real stochastically disturbed regimes of motion of the object are required as the a priori data. The methodology and the algorithm for the structural identification of the models of dynamics of the above-noted blocks with the use of means of ground simulation of the stochastic motion of the object are proposed. Some results of the proposed dynamical certification of blocks are discussed.
Subjective and Objective Aspects of Optimization of Dynamical Systems
72-79
Boris N.
Kiforenko
S.P. Timoshenko Istitute of Mechanics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Svetlana I.
Kiforenko
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
The problem of mathematical simulation of processes in natural life is studied. A test for selection of real motions from the set of virtual ones is proposed for biological objects whose functioning can be described in terms of control dynamical systems. This test allows one to reduce the uncertainty of the output mathematical model by using a reduction of the set of admissible controls.
Sensitivity of Multirate Discrete Control Systems in Conditions of Uncertainty of Speeds of Separating Motions
80-89
Victor D.
Romanenko
Educational-Scientific Complex of Institute
for Applied System Analysis of National
Technical University of Ukraine "Igor
Sikorsky Kiev Polytechnic Institute", Kiev
M. Yu.
Koval'
National Technical University of Ukraine "KPI", Kiev
A multivariate discrete control system that has the property of functioning in two time scales and is characterized by uncertainty of the ratio of speeds of fast and slow motions is considered. A new approach to the decomposition of the initial model of a multivariable object into slow and fast acting subsystems is developed; this approach makes it possible to synthesize a composite regulator that is invariant to the change of the ratio of speeds of fast and slow variables of the system. The results of studying sensitivity of thus separated closed-loop control system to the change of the ratio of speeds of fast and slow motions under single-rate and multirate sampling are presented.
Nonregular Dynamics. Barnsley Iterated Function Systems (Barnsley's IFS) and Fractal Filling
90-102
Oleg V.
Nikitenko
Kyiv International University, Kyiv
Some viewpoints to the nonregular dynamics of systems are briefly presented and its connections with the theory of iterated function systems (IFS), which was elaborated by M. Barnsley, and the possibility of their applications in the problems of filling continuous functions on the plane and in the space are noted. Algorithms for filling and the software structure that are needed for solution of applied problems are described. Examples of fractal filling of some data of hydrogeology measurements at the "Feofaniya" proving ground and radiation pollution in the 30 km Chernobyl' Nuclear Station zone are presented.
Correction of a Platform-Free Inertial Navigation System
103-114
Konstantin I.
Naumenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
Equations for errors of a platform-free inertial navigation system are obtained by using quaternions. The solution of the correction problem is based on a modification of the first direct Lyapunov method.
A Priori Choice of Covariance Matrices of Model Noise under A Priori Uncertainty
115-123
Mikhail Z.
Zgurowsky
National Technical University of Ukraine "Kyiv Polytechnical Institute"
Vladimir N.
Podladchikov
Institute of Applied Systems Analysis of National Technical University of Ukraine "Kiev Polytechnical Institute"
For the stationary regime of work of the Kalman filter, the problem on the a priori choice of the covariance matrix of state model noise of a linear dynamical system is solved. The proposed method for selection of the desired value of the covariance matrix does not require the processing of measurement of information and guarantees the minimization of the maximal deviation of covariance matrices of optimal estimation errors from their real values.
Multiobjective Nonlinear Programming Problems with Fuzzy Parameters. An Alternative Approach
124-129
Yuriy P.
Zaychenko
Institute of Applied Systems Analysis of National Technical University of Ukraine "Kiev Polytechnical Institute", Ukraine
Multiobjective optimization problems with fuzzy parameters are considered and an algorithm for their solution is proposed by passing to the corresponding minimax problem and search for its solutions. Results of experimental studies of the algorithm proposed are given.