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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Main Authors: Qing Wang, Tong Wang, Yanze Hou, Chaoyang Dong
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/391617
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spelling 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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