Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems

We present a new adaptive gain robust controller for polytopic uncertain systems. The proposed adaptive gain robust controller consists of a state feedback law with a fixed gain and a compensation input with adaptive gains which are tuned by updating laws. In this paper, we show that sufficie...

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Main Authors: Hidetoshi Oya, Daisuke Yamasaki, Shunya Nagai, Kojiro Hagino
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/854306
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spelling doaj-f071f01a43cf45a484992276257398a52020-11-24T22:36:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/854306854306Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain SystemsHidetoshi Oya0Daisuke Yamasaki1Shunya Nagai2Kojiro Hagino3The Institute of Technology and Science, Tokushima University, 2-1 Minamijosanjima, Tokushima 770-8506, JapanThe Graduate School of Advanced Technology and Science, Tokushima University, 2-1 Minamijosanjima, Tokushima 770-8506, JapanThe Graduate School of Advanced Technology and Science, Tokushima University, 2-1 Minamijosanjima, Tokushima 770-8506, JapanThe Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo, JapanWe present a new adaptive gain robust controller for polytopic uncertain systems. The proposed adaptive gain robust controller consists of a state feedback law with a fixed gain and a compensation input with adaptive gains which are tuned by updating laws. In this paper, we show that sufficient conditions for the existence of the proposed adaptive gain robust controller are given in terms of LMIs. Finally, illustrative examples are presented to show the effectiveness of the proposed adaptive gain robust controller.http://dx.doi.org/10.1155/2015/854306
collection DOAJ
language English
format Article
sources DOAJ
author Hidetoshi Oya
Daisuke Yamasaki
Shunya Nagai
Kojiro Hagino
spellingShingle Hidetoshi Oya
Daisuke Yamasaki
Shunya Nagai
Kojiro Hagino
Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
Mathematical Problems in Engineering
author_facet Hidetoshi Oya
Daisuke Yamasaki
Shunya Nagai
Kojiro Hagino
author_sort Hidetoshi Oya
title Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
title_short Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
title_full Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
title_fullStr Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
title_full_unstemmed Synthesis of Adaptive Gain Robust Controllers for Polytopic Uncertain Systems
title_sort synthesis of adaptive gain robust controllers for polytopic uncertain systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description We present a new adaptive gain robust controller for polytopic uncertain systems. The proposed adaptive gain robust controller consists of a state feedback law with a fixed gain and a compensation input with adaptive gains which are tuned by updating laws. In this paper, we show that sufficient conditions for the existence of the proposed adaptive gain robust controller are given in terms of LMIs. Finally, illustrative examples are presented to show the effectiveness of the proposed adaptive gain robust controller.
url http://dx.doi.org/10.1155/2015/854306
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AT daisukeyamasaki synthesisofadaptivegainrobustcontrollersforpolytopicuncertainsystems
AT shunyanagai synthesisofadaptivegainrobustcontrollersforpolytopicuncertainsystems
AT kojirohagino synthesisofadaptivegainrobustcontrollersforpolytopicuncertainsystems
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