Papers by Evgeny Rubinovich
Regularization of a generalized Kalman filter
Mathematics and Computers in Simulation, 1995
ABSTRACT The authors derive equations for optimum and near-optimum Kalman filters for the filtrat... more ABSTRACT The authors derive equations for optimum and near-optimum Kalman filters for the filtration problem with a singular covariance matrix for the noise in the observations in the case when the processes under consideration are described by Ito's stochastic differential equations with measure.
Advances in systems science and applications, 2021
Algebraic methods of processing data obtained by control and measurement systems to achieve angul... more Algebraic methods of processing data obtained by control and measurement systems to achieve angular superresolution are presented. The efficiency of using the methods in the formation of approximate images of objects at low signal-to-noise ratios is shown. The results of numerical experiments demonstrate the possibility of obtaining images with a resolution exceeding the Rayleigh criterion by 3-10 times. The robustness of the solutions obtained by the methods of algebraic exceeds many well-known approaches. The relative simplicity of the presented methods allows the use of inexpensive computing devices and perform real-time measurement processing.
Optimal control of dynamical systems with active singularities under single- and multi-impact sequences: A ball/racket system example
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
ABSTRACT The use of the general controller synthesis setting for systems with active, or controll... more ABSTRACT The use of the general controller synthesis setting for systems with active, or controlled, singularities under incomplete information and the single-impact and the multi-impact sequences given in is illustrated by an optimal control law calculation for a ball/racket system.
2008 47th IEEE Conference on Decision and Control, 2008
A general controller synthesis setting for systems with active, or controlled, singularities unde... more A general controller synthesis setting for systems with active, or controlled, singularities under incomplete information is extended to the cases of the single-impact and t h em u l t i-i m p a c ts e q u e n c e s-t h em a i nc a s e so fi n t e r e s ti n applications.
IEEE Transactions on Automatic Control, 2012
A controller synthesis setting for systems with controlled singularities under incomplete informa... more A controller synthesis setting for systems with controlled singularities under incomplete information is extended to the cases characterized by a constraint on the total physical impulse as well as on the time interval between the adjacent engagement phases. The use of this setting for the optimal control law calculation is illustrated on the ball/racket system representative of a large class of controlled impact problems, where there are two separate bodies interacting through controlled viscoelastic force.
IEEE Transactions on Aerospace and Electronic Systems, 2005
This work describes a new guidance algorithm against maneuvering decelerating target based on the... more This work describes a new guidance algorithm against maneuvering decelerating target based on the concept of information sets (IS). As an example of guidance problem, a model of defense scenario against reentering ballistic missile is considered. In this scenario, a maneuverable decelerating target is to be destroyed by a hit-to-kill interceptor outfitted with an infrared (IR) array seeker and lateral impulse thrusters. The key element of the proposed approach is a description of the "interceptor-target" system state by means of IS. The results of Monte Carlo (MC) tests of the developed algorithm are presented.
Optimal impulsive control of dynamical system in an impact phase
Lecture Notes in Applied and Computational Mechanics
There are two approaches to the description of impact phase in impact mechanics, namely, mathemat... more There are two approaches to the description of impact phase in impact mechanics, namely, mathematical and physical [1]. Both approaches give the same restitution law if external control is absent. However, the situation changes dramatically if one can apply an impulsive control during the phase of contact. Indeed, a real interaction force acts when a contact takes place only. The difference in these two models is as follows. In the case of visco-elastic media the mathematical approach implies an existence of interaction force acting during a whole period of an existence of body-obstacle deformation, which leads to appearance of a drawing force pulling the body into obstacle. In reality (in the physical model) the interaction force vanishes when a contact is lost, even if the deformation still presents. In this paper a control problem based on the physical model (which is more realistic) is considered.
IEEE Transactions on Aerospace and Electronic Systems, 2005
This work describes a new guidance algorithm against maneuvering decelerating target based on the... more This work describes a new guidance algorithm against maneuvering decelerating target based on the concept of information sets (IS). As an example of guidance problem, a model of defense scenario against reentering ballistic missile is considered. In this scenario, a maneuverable decelerating target is to be destroyed by a hit-to-kill interceptor outfitted with an infrared (IR) array seeker and lateral impulse thrusters. The key element of the proposed approach is a description of the "interceptor-target" system state by means of IS. The results of Monte Carlo (MC) tests of the developed algorithm are presented.
Trajectory Control over Observations in a 3D Bearings-Only Guidance Problem
2020 European Control Conference (ECC), 2020
This paper deals with the optimization of a mobile observer trajectory in 3D space. The observer ... more This paper deals with the optimization of a mobile observer trajectory in 3D space. The observer simultaneously estimates the vector of its coordinates and builds control over its trajectory using discrete angular measurements of a fixed beacon position.
Automatica, 2008
Controller synthesis setting for systems with active, or controlled, singularities is extended to... more Controller synthesis setting for systems with active, or controlled, singularities is extended to the case of incomplete information. The general physically-based description of mechanical systems with controlled singularities and sensing in the singular phase that also admits control over observations is developed. An example is presented that demonstrates the computation of a singular phase sensor-based optimal control law. It is found that optimal control of this class of systems should, in general, be sought in the class of complex signals termed temporal multi-impacts-very short duration isolated sets of temporally sequenced impulses. The system subject to these impacts is shown to exhibit a novel mode of controlled dynamic behavior-the interlaced singular phase.
Optimal impulse control problem with constrained number of impulses
Mathematics and Computers in Simulation, 1992
ABSTRACT The article considers the nonlinear optimal impulse control problem of a dynamic plant i... more ABSTRACT The article considers the nonlinear optimal impulse control problem of a dynamic plant in which, besides the traditional energy limitation, restrictions are imposed on the number of impulse actions and on the impulse repetition rate.
Increasing the Angular Resolution of Control and Measurement Systems in Signal Processing
The new method of digital signal processing is presented. The new signal processing technique is ... more The new method of digital signal processing is presented. The new signal processing technique is based on carrying parametrization problems with the help of data mining. It allows us to obtain the images of signal sources with angular superresolution. The high speed of the method, in contrast to many well-known methods, allows us to use it in realtime. The results of numerical experiments on mathematical models are presented.
Mathematics
This article considers the mathematical aspects of the problem of the optimal interception of a m... more This article considers the mathematical aspects of the problem of the optimal interception of a mobile search vehicle moving along random tacks on a given route and searching for a target, which travels parallel to this route. Interception begins when the probability of the target being detected by the search vehicle exceeds a certain threshold value. Interception was carried out by a controlled vehicle (defender) protecting the target. An analytical estimation of this detection probability is proposed. The interception problem was formulated as an optimal stochastic control problem, which was transformed to a deterministic optimization problem. As a result, the optimal control law of the defender was found, and the optimal interception time was estimated. The deterministic problem is a simplified version of the problem whose optimal solution provides a suboptimal solution to the stochastic problem. The obtained control law was compared with classic guidance methods. All the results...
Differential game of alternating pursuit of three targets by two pursuers with a Time-type criterion
Journal of Physics: Conference Series
Missile–Target–Defender Problem with Incomplete a Priori Information
Dynamic Games and Applications
Modeling and control of dynamical systems with active singularities and sensing in a singular motion
Automat Remote Contr Engl Tr, 2007
In this paper, a problem of image motion compensation caused by the camera motion concerning the ... more In this paper, a problem of image motion compensation caused by the camera motion concerning the photographed surface is considered. The camera is set on a mobile carrier, and image registration is conducted by a matrix photoreceiver on basis of charge-coupled devices (CCD) in delay-integration mode. It was shown that together with the traditional electron compensation of longitudinal motion of image, the compensation of transversal velocity of image motion is possible.
The linear partially observed discrete-continuous (hybrid) stochastic controllable system describ... more The linear partially observed discrete-continuous (hybrid) stochastic controllable system described by di3erential equa- tions with measures is considered. The optimalltering equations in the form of generalized Kalmanlter are obtained in the case of non-anticipating control. This result couldbe a theoretical basis for the optimal control in stochastic hybrid systems with incomplete information. c
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2000
This paper deals with the filtering problem for the partially observable vector-processes in the ... more This paper deals with the filtering problem for the partially observable vector-processes in the case when unobservable process is excited by a Markov process with a finite state space and t.he process of observat,ions is a semimartingale with non-Gaussian martingale part. .411 the processes are described by Ito's stochastic differential equations with measure.
Optimality conditions in control problems within the class of generalized solutions
Impulsive Control in Continuous and Discrete-Continuous Systems, 2003
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Papers by Evgeny Rubinovich