Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels
This paper emphasizes the importance of the influences of local dynamics on the global dynamics of a control system. By considering an actuator as an individual, nonlinear subsystem connected with a nonlinear process subsystem in cascade, a structure of interconnected nonlinear systems is proposed w...
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doaj-a55516c41c1a4f7ebeecd3bdb8c9f15e2020-11-25T04:09:52ZengMDPI AGApplied Sciences2076-34172020-11-01107966796610.3390/app10227966Observer Design for Nonlinear Invertible System from the View of Both Local and Global LevelsMei Zhang0Qin-mu Wu1Xiang-ping Chen2Boutaïeb Dahhou3Ze-tao Li4Electrical Engineering School, Guizhou University, Guiyang 550025, ChinaElectrical Engineering School, Guizhou University, Guiyang 550025, ChinaElectrical Engineering School, Guizhou University, Guiyang 550025, ChinaUniversity de Toulouse, UPS, LAAS, F-31400 Toulouse, FranceElectrical Engineering School, Guizhou University, Guiyang 550025, ChinaThis paper emphasizes the importance of the influences of local dynamics on the global dynamics of a control system. By considering an actuator as an individual, nonlinear subsystem connected with a nonlinear process subsystem in cascade, a structure of interconnected nonlinear systems is proposed which allows for global and local supervision properties of the interconnected systems. To achieve this purpose, a kind of interconnected observer design method is investigated, and the convergence is studied. One major difficulty is that a state observation can only rely on the global system output at the terminal boundary. This is because the connection point between the two subsystems is considered unable to be measured, due to physical or economic reasons. Therefore, the aim of the interconnected observer is to estimate the state vector of each subsystem and the unmeasurable connection point. Specifically, the output used in the observer of the actuator subsystem is replaced by the estimation of the process subsystem observer, while the estimation of this interconnection is treated like an additional state in the observer design of the process subsystem. Expression for this new state is achieved by calculating the derivatives of the output equation of the actuator subsystem. Numerical simulations confirm the effectiveness and robustness of the proposed observer, which highlight the significance of the work compared with state-of-the-art methods.https://www.mdpi.com/2076-3417/10/22/7966interconnected nonlinear systemstates estimationleft invertibilitylocal dynamicsprocess subsystemactuator subsystem |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mei Zhang Qin-mu Wu Xiang-ping Chen Boutaïeb Dahhou Ze-tao Li |
spellingShingle |
Mei Zhang Qin-mu Wu Xiang-ping Chen Boutaïeb Dahhou Ze-tao Li Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels Applied Sciences interconnected nonlinear system states estimation left invertibility local dynamics process subsystem actuator subsystem |
author_facet |
Mei Zhang Qin-mu Wu Xiang-ping Chen Boutaïeb Dahhou Ze-tao Li |
author_sort |
Mei Zhang |
title |
Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels |
title_short |
Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels |
title_full |
Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels |
title_fullStr |
Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels |
title_full_unstemmed |
Observer Design for Nonlinear Invertible System from the View of Both Local and Global Levels |
title_sort |
observer design for nonlinear invertible system from the view of both local and global levels |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2020-11-01 |
description |
This paper emphasizes the importance of the influences of local dynamics on the global dynamics of a control system. By considering an actuator as an individual, nonlinear subsystem connected with a nonlinear process subsystem in cascade, a structure of interconnected nonlinear systems is proposed which allows for global and local supervision properties of the interconnected systems. To achieve this purpose, a kind of interconnected observer design method is investigated, and the convergence is studied. One major difficulty is that a state observation can only rely on the global system output at the terminal boundary. This is because the connection point between the two subsystems is considered unable to be measured, due to physical or economic reasons. Therefore, the aim of the interconnected observer is to estimate the state vector of each subsystem and the unmeasurable connection point. Specifically, the output used in the observer of the actuator subsystem is replaced by the estimation of the process subsystem observer, while the estimation of this interconnection is treated like an additional state in the observer design of the process subsystem. Expression for this new state is achieved by calculating the derivatives of the output equation of the actuator subsystem. Numerical simulations confirm the effectiveness and robustness of the proposed observer, which highlight the significance of the work compared with state-of-the-art methods. |
topic |
interconnected nonlinear system states estimation left invertibility local dynamics process subsystem actuator subsystem |
url |
https://www.mdpi.com/2076-3417/10/22/7966 |
work_keys_str_mv |
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