ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY
The paper deals with the problem of adaptive control for multi-channel linear stationary plants under parametric uncertainty with arbitrary relative degree of each local subsystem. The synthesized regulator provides stabilization of control plant on condition that for each local subsystem only out...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)
2014-11-01
|
| Series: | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
| Subjects: | |
| Online Access: | http://ntv.ifmo.ru/file/article/11191.pdf |
| _version_ | 1819039548631416832 |
|---|---|
| author | Aleksei A. Bobtsov Maksim V. Faronov Igor B. Furtat Anton A. Pyrkin Wang Jian |
| author_facet | Aleksei A. Bobtsov Maksim V. Faronov Igor B. Furtat Anton A. Pyrkin Wang Jian |
| author_sort | Aleksei A. Bobtsov |
| collection | DOAJ |
| description | The paper deals with the problem of adaptive control for multi-channel linear stationary plants under parametric
uncertainty with arbitrary relative degree of each local subsystem. The synthesized regulator provides stabilization of control
plant on condition that for each local subsystem only output variables are measured with known relative degrees, but the
order of linear differential equations is unknown. We consider the synthesis of control system for two-channel system for
simplification of the synthesis method. The "serial compensator" algorithm is chosen as basic approach with A.L. Fradkov's
passification theorem and additional filters containing high gain constants in their structure. Durability of the closed system
in the group of pointed types of regulators is analyzed and the necessary and sufficient conditions for exponential
convergence properties are considered. We suggest adaptive version of the "serial compensator" method from the practical
point of view, where customization of the gain constant is based on the integral type algorithm. We show the results of
computer simulation for the third and second order subsystems under parametric uncertainty to illustrate the proposed
approach workability. It is shown that the proposed technique makes it possible to synthesize control algorithms for multichannel
systems under parametric uncertainty with minimal dynamical order as compared to known foreign and domestic
counterparts. |
| first_indexed | 2024-12-21T08:54:58Z |
| format | Article |
| id | doaj.art-c7cd69d8a9254e79bbaacaaa15a20bc0 |
| institution | Directory Open Access Journal |
| issn | 2226-1494 2500-0373 |
| language | English |
| last_indexed | 2024-12-21T08:54:58Z |
| publishDate | 2014-11-01 |
| 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-c7cd69d8a9254e79bbaacaaa15a20bc02022-12-21T19:09:35ZengSaint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki2226-14942500-03732014-11-011466370ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTYAleksei A. Bobtsov 0Maksim V. Faronov1Igor B. Furtat2Anton A. Pyrkin3Wang Jian 4D.Sc., Professor, Dean, Department head, ITMO University, Saint Petersburg, 197101, Russian Federationpostgraduate, ITMO University, Saint Petersburg, 197101,Russian FederationD.Sc., Associate professor, Professor, ITMO University, Saint Petersburg, 197101, Russian Federation; leading scientific researcher, Institute of Problems of Mechanical Engineering Russian Academy of Sciences, Saint Petersburg, 199178, Russian FederationPhD, Associate professor, ITMO University, Saint Petersburg, 197101, Russian Federationresearcher, Hangzhou Dianzi University, Hangzhou, 310018, ChinaThe paper deals with the problem of adaptive control for multi-channel linear stationary plants under parametric uncertainty with arbitrary relative degree of each local subsystem. The synthesized regulator provides stabilization of control plant on condition that for each local subsystem only output variables are measured with known relative degrees, but the order of linear differential equations is unknown. We consider the synthesis of control system for two-channel system for simplification of the synthesis method. The "serial compensator" algorithm is chosen as basic approach with A.L. Fradkov's passification theorem and additional filters containing high gain constants in their structure. Durability of the closed system in the group of pointed types of regulators is analyzed and the necessary and sufficient conditions for exponential convergence properties are considered. We suggest adaptive version of the "serial compensator" method from the practical point of view, where customization of the gain constant is based on the integral type algorithm. We show the results of computer simulation for the third and second order subsystems under parametric uncertainty to illustrate the proposed approach workability. It is shown that the proposed technique makes it possible to synthesize control algorithms for multichannel systems under parametric uncertainty with minimal dynamical order as compared to known foreign and domestic counterparts.http://ntv.ifmo.ru/file/article/11191.pdfadaptive controlmultichannel systemsparametric uncertainty |
| spellingShingle | Aleksei A. Bobtsov Maksim V. Faronov Igor B. Furtat Anton A. Pyrkin Wang Jian ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki adaptive control multichannel systems parametric uncertainty |
| title | ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY |
| title_full | ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY |
| title_fullStr | ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY |
| title_full_unstemmed | ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY |
| title_short | ADAPTIVE OUTPUT CONTROL OF MULTICHANNEL LINEAR STATIONARY SYSTEMS UNDER PARAMETRIC UNCERTAINTY |
| title_sort | adaptive output control of multichannel linear stationary systems under parametric uncertainty |
| topic | adaptive control multichannel systems parametric uncertainty |
| url | http://ntv.ifmo.ru/file/article/11191.pdf |
| work_keys_str_mv | AT alekseiabobtsov adaptiveoutputcontrolofmultichannellinearstationarysystemsunderparametricuncertainty AT maksimvfaronov adaptiveoutputcontrolofmultichannellinearstationarysystemsunderparametricuncertainty AT igorbfurtat adaptiveoutputcontrolofmultichannellinearstationarysystemsunderparametricuncertainty AT antonapyrkin adaptiveoutputcontrolofmultichannellinearstationarysystemsunderparametricuncertainty AT wangjian adaptiveoutputcontrolofmultichannellinearstationarysystemsunderparametricuncertainty |