Alexey Zhirabok | Far Eastern Federal University (original) (raw)

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Papers by Alexey Zhirabok

Research paper thumbnail of Methods of Constructing Functional Observers for Nonlinear Dynamic Systems

Optoelectronics, Instrumentation and Data Processing, Jul 31, 2023

Research paper thumbnail of An Interval Observer-Based Method to Diagnose Discrete-Time Systems

Automation and remote control, Dec 1, 2023

Research paper thumbnail of Interval Observers for Continuous-Time Systems with Parametric Uncertainties

Automation and remote control, Nov 1, 2023

Research paper thumbnail of Interval Estimation in Discrete-Time Linear Systems with Parametric Uncertainties

Journal of Computer and Systems Sciences International, Nov 30, 2023

Research paper thumbnail of Synthesis method of adaptive systems to eliminate the consequences of changes in parameters and faults in the thrusters of underwater robots

Morskie intellektualʹnye tehnologii, Dec 12, 2023

Research paper thumbnail of Fault Identification: An Approach Based on Optimal Control Methods

Automation and Remote Control, Aug 31, 2023

Research paper thumbnail of Fault tolerant control using sliding mode observers

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

Research paper thumbnail of Robust virtual sensors design for linear and nonlinear systems under external disturbances

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.

Research paper thumbnail of Fault Identification in Non-Stationary Systems Based on Sliding Mode Observers

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.

Research paper thumbnail of Filaretov, V. F.; Zhirabok, A. N. and Tkachev, D.: Non-Parametric Method for Fault Diagnosis in Electrical Circuits

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.

Research paper thumbnail of 有限オートマトンにおける外乱非干渉化問題:センサ配置問題【Powered by NICT】

IEEE Conference Proceedings, 2016

Research paper thumbnail of 線形法による非線形メカトロニクスシステムにおける故障診断【Powered by NICT】

IEEE Conference Proceedings, 2016

Research paper thumbnail of Identification of Faults in Nonlinear Dynamical Systems and Their Sensors Based on Sliding Mode Observers

Automation and Remote Control, Feb 1, 2022

Research paper thumbnail of Sliding mode observer based fault identification in automatic vision system of robot

Control Engineering Practice, Oct 1, 2023

Research paper thumbnail of A sliding mode technique for reconstruction of unknown control input in linear systems

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.

Research paper thumbnail of Interval Observer Design for Discrete-Time Nonlinear Dynamic Systems

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.

Research paper thumbnail of Robust Virtual Sensors Design Based on Jordan Canonical Form

International journal of recent engineering science, Apr 30, 2023

Research paper thumbnail of Дуальность нелинейных динамических систем

Проблемы управления, 2005

Research paper thumbnail of Method for the Functional Diagnosis of Nondeterministic Finite State Machines

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.

Research paper thumbnail of Аналог ганкелевой матрицы для нелинейной динамической системы

Проблемы управления, 2006

Research paper thumbnail of Methods of Constructing Functional Observers for Nonlinear Dynamic Systems

Optoelectronics, Instrumentation and Data Processing, Jul 31, 2023

Research paper thumbnail of An Interval Observer-Based Method to Diagnose Discrete-Time Systems

Automation and remote control, Dec 1, 2023

Research paper thumbnail of Interval Observers for Continuous-Time Systems with Parametric Uncertainties

Automation and remote control, Nov 1, 2023

Research paper thumbnail of Interval Estimation in Discrete-Time Linear Systems with Parametric Uncertainties

Journal of Computer and Systems Sciences International, Nov 30, 2023

Research paper thumbnail of Synthesis method of adaptive systems to eliminate the consequences of changes in parameters and faults in the thrusters of underwater robots

Morskie intellektualʹnye tehnologii, Dec 12, 2023

Research paper thumbnail of Fault Identification: An Approach Based on Optimal Control Methods

Automation and Remote Control, Aug 31, 2023

Research paper thumbnail of Fault tolerant control using sliding mode observers

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

Research paper thumbnail of Robust virtual sensors design for linear and nonlinear systems under external disturbances

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.

Research paper thumbnail of Fault Identification in Non-Stationary Systems Based on Sliding Mode Observers

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.

Research paper thumbnail of Filaretov, V. F.; Zhirabok, A. N. and Tkachev, D.: Non-Parametric Method for Fault Diagnosis in Electrical Circuits

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.

Research paper thumbnail of 有限オートマトンにおける外乱非干渉化問題:センサ配置問題【Powered by NICT】

IEEE Conference Proceedings, 2016

Research paper thumbnail of 線形法による非線形メカトロニクスシステムにおける故障診断【Powered by NICT】

IEEE Conference Proceedings, 2016

Research paper thumbnail of Identification of Faults in Nonlinear Dynamical Systems and Their Sensors Based on Sliding Mode Observers

Automation and Remote Control, Feb 1, 2022

Research paper thumbnail of Sliding mode observer based fault identification in automatic vision system of robot

Control Engineering Practice, Oct 1, 2023

Research paper thumbnail of A sliding mode technique for reconstruction of unknown control input in linear systems

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.

Research paper thumbnail of Interval Observer Design for Discrete-Time Nonlinear Dynamic Systems

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.

Research paper thumbnail of Robust Virtual Sensors Design Based on Jordan Canonical Form

International journal of recent engineering science, Apr 30, 2023

Research paper thumbnail of Дуальность нелинейных динамических систем

Проблемы управления, 2005

Research paper thumbnail of Method for the Functional Diagnosis of Nondeterministic Finite State Machines

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.

Research paper thumbnail of Аналог ганкелевой матрицы для нелинейной динамической системы

Проблемы управления, 2006