Alexey Zhirabok | Far Eastern Federal University (original) (raw)
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Papers by Alexey Zhirabok
Optoelectronics, Instrumentation and Data Processing, Jul 31, 2023
Automation and remote control, Dec 1, 2023
Automation and remote control, Nov 1, 2023
Journal of Computer and Systems Sciences International, Nov 30, 2023
Morskie intellektualʹnye tehnologii, Dec 12, 2023
Automation and Remote Control, Aug 31, 2023
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Previous work has considered the use of sliding mode observers for fault detection and isolation ... more Previous work has considered the use of sliding mode observers for fault detection and isolation (FDI) in uncertain linear systems whereby the unknown faults are reconstructed by appropriate processing of the so-called equivalent output error injection. The paper builds on this work and considers such a scheme within the broader context of fault tolerant control. Specifically, by correcting the faulty
International Journal of Adaptive Control and Signal Processing, Jul 9, 2023
SummaryThe problem of robust virtual sensors design in linear and nonlinear dynamic systems is st... more SummaryThe problem of robust virtual sensors design in linear and nonlinear dynamic systems is studied. To design such sensors, two different canonical forms are used: identification and Jordan canonical forms. The problems generally are solved in three steps: at the first step, the linear model invariant with respect to the disturbance is designed; at the second step, a possibility to take into account the nonlinear term and to estimate the given variable is checked; finally, stability of the observer is obtained. The relations allowing to design virtual sensor of minimal dimension estimating the prescribed component of the state vector of the system are obtained. The problem of virtual sensor location is studied and solved. The theoretical results are illustrated by the example of three tank system.
Мехатроника, автоматизация, управление, Dec 2, 2021
The paper is devoted to the problem of fault identification in technical systems described by non... more The paper is devoted to the problem of fault identification in technical systems described by non-stationary nonlinear dynamic equations under unmatched disturbances. To solve the problem, sliding mode observers are used. The suggested ap- proach is based on the model of the original system of minimal dimension having different sensitivity to the faults and distur- bances in contrast to the traditional approaches to sliding observer design which are based on the original system. Additionally it is assumed that matrices describing such a model have the canonical form and are constant. The main purpose of using such a model is possibility to take into account the non-stationary feature of the systems. As a result, the model has stationary dynamic and non-stationary additional term that allows to promote sliding mode design. Besides, the new approach to design sliding mode observers is suggested. The peculiarity of this approach is that it does not require that original systems should be minimum phase and detectable. According to the traditional approaches stability of the observer is provided by minimum phase and detectability properties. In our approach, stability of the observer is achieved due to the canonical form of the matrices describing the model. In addition, the matching condition is not necessary. This allows to extend a class of systems for which sliding mode observers can be designed. Theoretical results are illustrated by practical example of electric servoactuator.
Annals of DAAAM for ... & proceedings of the ... International DAAAM Symposium .., 2012
The paper is devoted to the problem of fault diagnosis in electrical circuits described by linear... more The paper is devoted to the problem of fault diagnosis in electrical circuits described by linear or nonlinear polynomial models. So-called non-parametric method for fault detection is considered. This method assumes that parameters of the circuit under consideration may be unknown. It does not use methods of identification and allows detecting whether or not parameters of some elements deviate considerably from their nominal values.
IEEE Conference Proceedings, 2016
IEEE Conference Proceedings, 2016
Automation and Remote Control, Feb 1, 2022
Control Engineering Practice, Oct 1, 2023
Cybernetics and physics, Jun 30, 2023
The unknown input estimation problem for linear dynamic systems exposed to the disturbances is st... more The unknown input estimation problem for linear dynamic systems exposed to the disturbances is studied in the paper. A novel approach to designing sliding mode observer is suggested for systems not satisfying matching, minimum phase, and detectability conditions. To apply this approach, the reduced-order model of the original system is used. Such a model allows to reduce the dimension of the sliding mode observer, besides the restrictions placed on the original system are relaxed.
Мехатроника, автоматизация, управление, Jun 13, 2023
The paper considers the problem of interval observer design for nonlinear dynamic systems describ... more The paper considers the problem of interval observer design for nonlinear dynamic systems described by discrete-time models under external disturbances, measurement noise, and parametric uncertainties. The problem is to design the observer with fewer dimensions than that of the original system; such an observer must generate upper and lower bounds of admissible values of the prescribed nonlinear function of the original system state vector. To solve the problem, special mathematical tool is used. The advantage of this tool is that it allows studying the systems described by models with non-smoo th nonlinearities. To construct interval observer, the reduced-order model of the original system insensitive or having minimal sensitivity to the disturbances is designed. The designing procedure is based on two algorithms: the first one is intended to design the model of minimal sensitivity; the second one is used to reduce the dimension of the model. The rules are formulated to ensure stability based on the prescribed set of the desirable eigenvalues and feedback. The interval observer consists of two subsystems: the first one generates the lower bound, the second one the upper bound. The relations describing both subsystems are given. To construct such an observer in the nonlinear case, the terms of positive and negative influence of variables describing the model are introduced. These terms allow finding out how the upper and lower bounds of these variables will appear in the interval observer. The conditions under which the observer can be designed are given. The theoretical results are illustrated by an example of three tank system. Simulation results based on the package Matlab show the effectiveness of the developed theory.
International journal of recent engineering science, Apr 30, 2023
Проблемы управления, 2005
Journal of Computer and Systems Sciences International, Jul 1, 2020
The problem of the functional diagnosis of critical systems, described by a nondeterministic fini... more The problem of the functional diagnosis of critical systems, described by a nondeterministic finite state machine model, is considered. A new method for solving the problem is proposed, the distinguishing feature of which is the use of the mathematical apparatus of the algebra's covers. The features and advantages of the method are illustrated by the example of the problem of monitoring the errors of IT system operators.
Проблемы управления, 2006
Optoelectronics, Instrumentation and Data Processing, Jul 31, 2023
Automation and remote control, Dec 1, 2023
Automation and remote control, Nov 1, 2023
Journal of Computer and Systems Sciences International, Nov 30, 2023
Morskie intellektualʹnye tehnologii, Dec 12, 2023
Automation and Remote Control, Aug 31, 2023
2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Previous work has considered the use of sliding mode observers for fault detection and isolation ... more Previous work has considered the use of sliding mode observers for fault detection and isolation (FDI) in uncertain linear systems whereby the unknown faults are reconstructed by appropriate processing of the so-called equivalent output error injection. The paper builds on this work and considers such a scheme within the broader context of fault tolerant control. Specifically, by correcting the faulty
International Journal of Adaptive Control and Signal Processing, Jul 9, 2023
SummaryThe problem of robust virtual sensors design in linear and nonlinear dynamic systems is st... more SummaryThe problem of robust virtual sensors design in linear and nonlinear dynamic systems is studied. To design such sensors, two different canonical forms are used: identification and Jordan canonical forms. The problems generally are solved in three steps: at the first step, the linear model invariant with respect to the disturbance is designed; at the second step, a possibility to take into account the nonlinear term and to estimate the given variable is checked; finally, stability of the observer is obtained. The relations allowing to design virtual sensor of minimal dimension estimating the prescribed component of the state vector of the system are obtained. The problem of virtual sensor location is studied and solved. The theoretical results are illustrated by the example of three tank system.
Мехатроника, автоматизация, управление, Dec 2, 2021
The paper is devoted to the problem of fault identification in technical systems described by non... more The paper is devoted to the problem of fault identification in technical systems described by non-stationary nonlinear dynamic equations under unmatched disturbances. To solve the problem, sliding mode observers are used. The suggested ap- proach is based on the model of the original system of minimal dimension having different sensitivity to the faults and distur- bances in contrast to the traditional approaches to sliding observer design which are based on the original system. Additionally it is assumed that matrices describing such a model have the canonical form and are constant. The main purpose of using such a model is possibility to take into account the non-stationary feature of the systems. As a result, the model has stationary dynamic and non-stationary additional term that allows to promote sliding mode design. Besides, the new approach to design sliding mode observers is suggested. The peculiarity of this approach is that it does not require that original systems should be minimum phase and detectable. According to the traditional approaches stability of the observer is provided by minimum phase and detectability properties. In our approach, stability of the observer is achieved due to the canonical form of the matrices describing the model. In addition, the matching condition is not necessary. This allows to extend a class of systems for which sliding mode observers can be designed. Theoretical results are illustrated by practical example of electric servoactuator.
Annals of DAAAM for ... & proceedings of the ... International DAAAM Symposium .., 2012
The paper is devoted to the problem of fault diagnosis in electrical circuits described by linear... more The paper is devoted to the problem of fault diagnosis in electrical circuits described by linear or nonlinear polynomial models. So-called non-parametric method for fault detection is considered. This method assumes that parameters of the circuit under consideration may be unknown. It does not use methods of identification and allows detecting whether or not parameters of some elements deviate considerably from their nominal values.
IEEE Conference Proceedings, 2016
IEEE Conference Proceedings, 2016
Automation and Remote Control, Feb 1, 2022
Control Engineering Practice, Oct 1, 2023
Cybernetics and physics, Jun 30, 2023
The unknown input estimation problem for linear dynamic systems exposed to the disturbances is st... more The unknown input estimation problem for linear dynamic systems exposed to the disturbances is studied in the paper. A novel approach to designing sliding mode observer is suggested for systems not satisfying matching, minimum phase, and detectability conditions. To apply this approach, the reduced-order model of the original system is used. Such a model allows to reduce the dimension of the sliding mode observer, besides the restrictions placed on the original system are relaxed.
Мехатроника, автоматизация, управление, Jun 13, 2023
The paper considers the problem of interval observer design for nonlinear dynamic systems describ... more The paper considers the problem of interval observer design for nonlinear dynamic systems described by discrete-time models under external disturbances, measurement noise, and parametric uncertainties. The problem is to design the observer with fewer dimensions than that of the original system; such an observer must generate upper and lower bounds of admissible values of the prescribed nonlinear function of the original system state vector. To solve the problem, special mathematical tool is used. The advantage of this tool is that it allows studying the systems described by models with non-smoo th nonlinearities. To construct interval observer, the reduced-order model of the original system insensitive or having minimal sensitivity to the disturbances is designed. The designing procedure is based on two algorithms: the first one is intended to design the model of minimal sensitivity; the second one is used to reduce the dimension of the model. The rules are formulated to ensure stability based on the prescribed set of the desirable eigenvalues and feedback. The interval observer consists of two subsystems: the first one generates the lower bound, the second one the upper bound. The relations describing both subsystems are given. To construct such an observer in the nonlinear case, the terms of positive and negative influence of variables describing the model are introduced. These terms allow finding out how the upper and lower bounds of these variables will appear in the interval observer. The conditions under which the observer can be designed are given. The theoretical results are illustrated by an example of three tank system. Simulation results based on the package Matlab show the effectiveness of the developed theory.
International journal of recent engineering science, Apr 30, 2023
Проблемы управления, 2005
Journal of Computer and Systems Sciences International, Jul 1, 2020
The problem of the functional diagnosis of critical systems, described by a nondeterministic fini... more The problem of the functional diagnosis of critical systems, described by a nondeterministic finite state machine model, is considered. A new method for solving the problem is proposed, the distinguishing feature of which is the use of the mathematical apparatus of the algebra's covers. The features and advantages of the method are illustrated by the example of the problem of monitoring the errors of IT system operators.
Проблемы управления, 2006