Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System
In this paper, the design of reduced-order and full-order interval observers for discrete-time system is investigated. First, the original system is transformed into a descriptor system with the ability to estimate the unknown noise of sensors. Next, a reduced-order interval observer design method f...
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doaj-6689766628934d24ae40f4105033b8052021-03-30T02:16:16ZengIEEEIEEE Access2169-35362020-01-01810330910331610.1109/ACCESS.2020.29995259106369Reduced-Order and Full-Order Interval Observers Design for Discrete-Time SystemWeijie Ren0https://orcid.org/0000-0002-5859-7802Renyang You1Wei Yu2https://orcid.org/0000-0002-7888-0576Shenghui Guo3College of Electronics and Information Engineering, Suzhou University of Science and Technology, Suzhou, ChinaCollege of Electronics and Information Engineering, Suzhou University of Science and Technology, Suzhou, ChinaSchool of Automation, Foshan University, Foshan, ChinaCollege of Electronics and Information Engineering, Suzhou University of Science and Technology, Suzhou, ChinaIn this paper, the design of reduced-order and full-order interval observers for discrete-time system is investigated. First, the original system is transformed into a descriptor system with the ability to estimate the unknown noise of sensors. Next, a reduced-order interval observer design method for descriptor system is presented. The state matrix of the system is obtained by linear transformation, and a Sylvester equation is constructed to find the appropriate observer gain matrix. Then, an existing design method of full-order interval observer is introduced in this paper. Finally, a simulation example is given to demonstrate that the reduced-order interval observer has more accurate interval estimation results than the full-order interval observer.https://ieeexplore.ieee.org/document/9106369/Reduced-order interval observerinterval estimationdescriptor systemsensor noisediscrete-time system |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Weijie Ren Renyang You Wei Yu Shenghui Guo |
spellingShingle |
Weijie Ren Renyang You Wei Yu Shenghui Guo Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System IEEE Access Reduced-order interval observer interval estimation descriptor system sensor noise discrete-time system |
author_facet |
Weijie Ren Renyang You Wei Yu Shenghui Guo |
author_sort |
Weijie Ren |
title |
Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System |
title_short |
Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System |
title_full |
Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System |
title_fullStr |
Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System |
title_full_unstemmed |
Reduced-Order and Full-Order Interval Observers Design for Discrete-Time System |
title_sort |
reduced-order and full-order interval observers design for discrete-time system |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
In this paper, the design of reduced-order and full-order interval observers for discrete-time system is investigated. First, the original system is transformed into a descriptor system with the ability to estimate the unknown noise of sensors. Next, a reduced-order interval observer design method for descriptor system is presented. The state matrix of the system is obtained by linear transformation, and a Sylvester equation is constructed to find the appropriate observer gain matrix. Then, an existing design method of full-order interval observer is introduced in this paper. Finally, a simulation example is given to demonstrate that the reduced-order interval observer has more accurate interval estimation results than the full-order interval observer. |
topic |
Reduced-order interval observer interval estimation descriptor system sensor noise discrete-time system |
url |
https://ieeexplore.ieee.org/document/9106369/ |
work_keys_str_mv |
AT weijieren reducedorderandfullorderintervalobserversdesignfordiscretetimesystem AT renyangyou reducedorderandfullorderintervalobserversdesignfordiscretetimesystem AT weiyu reducedorderandfullorderintervalobserversdesignfordiscretetimesystem AT shenghuiguo reducedorderandfullorderintervalobserversdesignfordiscretetimesystem |
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