Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay

In the paper, the problem of compensation of external disturbance in multichannel systems with unmeasurable state vector and delay in the control channel is considered. It is assumed that the disturbance has a harmonic form. To solve the problem of estimating the state vector of a system, a full-o...

Full description

Bibliographic Details
Main Authors: Van Huan Bui, Viktor A. Zhdanov, Alexey A. Margun
Format: Article
Language:English
Published: Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University) 2023-10-01
Series:Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki
Subjects:
Online Access:https://ntv.ifmo.ru/file/article/22360.pdf
_version_ 1797657113582895104
author Van Huan Bui
Viktor A. Zhdanov
Alexey A. Margun
author_facet Van Huan Bui
Viktor A. Zhdanov
Alexey A. Margun
author_sort Van Huan Bui
collection DOAJ
description In the paper, the problem of compensation of external disturbance in multichannel systems with unmeasurable state vector and delay in the control channel is considered. It is assumed that the disturbance has a harmonic form. To solve the problem of estimating the state vector of a system, a full-order observer with Unknown Input Observer is constructed. A new observer of external disturbance is formed on the basis of the state vector estimates produced by this observer. As a result, a system is formed that uses estimates with an extended state vector. For this system, a regulator is constructed that provides compensation of the disturbance. The proposed algorithm guarantees boundedness of all signals in the closed-loop system and asymptotic stability of the output. It does not require identification of parameters of external disturbance. To demonstrate the performance and efficiency of the proposed approach, computer simulation using MATLAB Simulink software environment is performed. The developed algorithm can be effectively applied in systems with external disturbance in the form of sinusoidal signals, including systems exposed to wind, ship systems, motion control systems of robotic complexes of various types, and others.
first_indexed 2024-03-11T17:40:39Z
format Article
id doaj.art-4554355c3f754352ac1aae604b08241a
institution Directory Open Access Journal
issn 2226-1494
2500-0373
language English
last_indexed 2024-03-11T17:40:39Z
publishDate 2023-10-01
publisher Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)
record_format Article
series Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki
spelling doaj.art-4554355c3f754352ac1aae604b08241a2023-10-18T11:04:03ZengSaint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki2226-14942500-03732023-10-0123589490310.17586/2226-1494-2023-23-5-894-903Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delayVan Huan Bui0https://orcid.org/0000-0002-6563-1909Viktor A. Zhdanov1https://orcid.org/0009-0009-6573-8229Alexey A. Margun2https://orcid.org/0000-0002-5333-0594PhD Student, ITMO University, Saint Petersburg, 197101, Russian FederationStudent, ITMO University, Saint Petersburg, 197101, Russian FederationPhD, Associate Professor, ITMO University, Saint Petersburg, 197101, Russian Federation; Scientific Researcher, Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation, sc 55521791600In the paper, the problem of compensation of external disturbance in multichannel systems with unmeasurable state vector and delay in the control channel is considered. It is assumed that the disturbance has a harmonic form. To solve the problem of estimating the state vector of a system, a full-order observer with Unknown Input Observer is constructed. A new observer of external disturbance is formed on the basis of the state vector estimates produced by this observer. As a result, a system is formed that uses estimates with an extended state vector. For this system, a regulator is constructed that provides compensation of the disturbance. The proposed algorithm guarantees boundedness of all signals in the closed-loop system and asymptotic stability of the output. It does not require identification of parameters of external disturbance. To demonstrate the performance and efficiency of the proposed approach, computer simulation using MATLAB Simulink software environment is performed. The developed algorithm can be effectively applied in systems with external disturbance in the form of sinusoidal signals, including systems exposed to wind, ship systems, motion control systems of robotic complexes of various types, and others.https://ntv.ifmo.ru/file/article/22360.pdfadaptive controlmimo systemsinusoidal disturbancelinear systemsdisturbance compensationdelay in the control channel
spellingShingle Van Huan Bui
Viktor A. Zhdanov
Alexey A. Margun
Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki
adaptive control
mimo system
sinusoidal disturbance
linear systems
disturbance compensation
delay in the control channel
title Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
title_full Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
title_fullStr Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
title_full_unstemmed Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
title_short Robust disturbances compensation for MIMO linear systems with unmeasured state vector and control delay
title_sort robust disturbances compensation for mimo linear systems with unmeasured state vector and control delay
topic adaptive control
mimo system
sinusoidal disturbance
linear systems
disturbance compensation
delay in the control channel
url https://ntv.ifmo.ru/file/article/22360.pdf
work_keys_str_mv AT vanhuanbui robustdisturbancescompensationformimolinearsystemswithunmeasuredstatevectorandcontroldelay
AT viktorazhdanov robustdisturbancescompensationformimolinearsystemswithunmeasuredstatevectorandcontroldelay
AT alexeyamargun robustdisturbancescompensationformimolinearsystemswithunmeasuredstatevectorandcontroldelay