Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System
We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one di...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/8753657 |
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| _version_ | 1832545974490234880 |
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| author | Hong Wang-jian Wang Yan-xiang |
| author_facet | Hong Wang-jian Wang Yan-xiang |
| author_sort | Hong Wang-jian |
| collection | DOAJ |
| description | We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized. |
| format | Article |
| id | doaj-art-25f8e9e445a6410e90fbb433eb74ebcd |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-25f8e9e445a6410e90fbb433eb74ebcd2025-02-03T07:24:06ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/87536578753657Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty SystemHong Wang-jian0Wang Yan-xiang1Dipartimento di Elettronica, Informazione, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, ItalySchool of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, ChinaWe consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized.http://dx.doi.org/10.1155/2016/8753657 |
| spellingShingle | Hong Wang-jian Wang Yan-xiang Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System Journal of Control Science and Engineering |
| title | Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System |
| title_full | Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System |
| title_fullStr | Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System |
| title_full_unstemmed | Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System |
| title_short | Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System |
| title_sort | plug and play robust distributed control with ellipsoidal parametric uncertainty system |
| url | http://dx.doi.org/10.1155/2016/8753657 |
| work_keys_str_mv | AT hongwangjian plugandplayrobustdistributedcontrolwithellipsoidalparametricuncertaintysystem AT wangyanxiang plugandplayrobustdistributedcontrolwithellipsoidalparametricuncertaintysystem |