Sign Stability for Switched Linear Systems and Its Application in Flight Control
The sign stability concept in ecological systems is introduced into the analysis and synthesis of switched linear system to explore new control design technique. The necessary and sufficient condition for sign stability of a switched linear system under arbitrary switching is achieved via the notion...
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/391617 |
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doaj-f7411b284ee741d0b8532aea4871c3182020-11-24T23:19:29ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/391617391617Sign Stability for Switched Linear Systems and Its Application in Flight ControlQing Wang0Tong Wang1Yanze Hou2Chaoyang Dong3Department of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, ChinaDepartment of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, ChinaInstitute of Manned Space System Engineering, China Academy of Space Technology, Beijing 100094, ChinaDepartment of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, ChinaThe sign stability concept in ecological systems is introduced into the analysis and synthesis of switched linear system to explore new control design technique. The necessary and sufficient condition for sign stability of a switched linear system under arbitrary switching is achieved via the notion of complete isogenous sign stable set (CISSS). A new approach for the stabilization of switched system is presented. Although the controllers are devised for each subsystem, respectively, the switched system is sign stabilized by the constitution of CISSS. The provided method has natural robustness and more design freedoms than the familiar Lyapunov function method, which bears relative conservativeness as the requirement of solving LMIs. The presented technique is validated by an example of flight control within a large-scale flight envelop. Simulation results indicate that the proposed method can stabilize the flight attitude under large variations of system parameters and external perturbations.http://dx.doi.org/10.1155/2014/391617 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qing Wang Tong Wang Yanze Hou Chaoyang Dong |
spellingShingle |
Qing Wang Tong Wang Yanze Hou Chaoyang Dong Sign Stability for Switched Linear Systems and Its Application in Flight Control Journal of Applied Mathematics |
author_facet |
Qing Wang Tong Wang Yanze Hou Chaoyang Dong |
author_sort |
Qing Wang |
title |
Sign Stability for Switched Linear Systems and Its Application in Flight Control |
title_short |
Sign Stability for Switched Linear Systems and Its Application in Flight Control |
title_full |
Sign Stability for Switched Linear Systems and Its Application in Flight Control |
title_fullStr |
Sign Stability for Switched Linear Systems and Its Application in Flight Control |
title_full_unstemmed |
Sign Stability for Switched Linear Systems and Its Application in Flight Control |
title_sort |
sign stability for switched linear systems and its application in flight control |
publisher |
Hindawi Limited |
series |
Journal of Applied Mathematics |
issn |
1110-757X 1687-0042 |
publishDate |
2014-01-01 |
description |
The sign stability concept in ecological systems is introduced into the analysis and synthesis of switched linear system to explore new control design technique. The necessary and sufficient condition for sign stability of a switched linear system under arbitrary switching is achieved via the notion of complete isogenous sign stable set (CISSS). A new approach for the stabilization of switched system is presented. Although the controllers are devised for each subsystem, respectively, the switched system is sign stabilized by the constitution of CISSS. The provided method has natural robustness and more design freedoms than the familiar Lyapunov function method, which bears relative conservativeness as the requirement of solving LMIs. The presented technique is validated by an example of flight control within a large-scale flight envelop. Simulation results indicate that the proposed method can stabilize the flight attitude under large variations of system parameters and external perturbations. |
url |
http://dx.doi.org/10.1155/2014/391617 |
work_keys_str_mv |
AT qingwang signstabilityforswitchedlinearsystemsanditsapplicationinflightcontrol AT tongwang signstabilityforswitchedlinearsystemsanditsapplicationinflightcontrol AT yanzehou signstabilityforswitchedlinearsystemsanditsapplicationinflightcontrol AT chaoyangdong signstabilityforswitchedlinearsystemsanditsapplicationinflightcontrol |
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1725578755710124032 |