Conservatism reduction for linear parameter‐varying control design facing inexact scheduling parameters illustrated on flight tests
Summary This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the act...
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| Vydáno v: | International journal of robust and nonlinear control Ročník 30; číslo 15; s. 6130 - 6148 |
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| Jazyk: | angličtina |
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Bognor Regis
Wiley Subscription Services, Inc
01.10.2020
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| ISSN: | 1049-8923, 1099-1239 |
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| Abstract | Summary
This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the actual scheduling parameters and the provided ones in the derivation of controller design condition. However, all methods in literature have conservatism in the overbounding, which is the main issue addressed in this article. We therefore propose a new overbounding for the discrepancies with the reverse use of Elimination lemma, which introduces no conservatism in theory. The new method is formulated in terms of bilinear matrix inequality, which is not tractable compared with linear matrix inequality, thus a practical design procedure composed of line search and iterative algorithm is shown. The effectiveness of our method is illustrated by an application to flight controller design for the lateral‐directional motions of a research airplane MuPAL‐α and the consequently conducted flight tests. |
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| AbstractList | This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the actual scheduling parameters and the provided ones in the derivation of controller design condition. However, all methods in literature have conservatism in the overbounding, which is the main issue addressed in this article. We therefore propose a new overbounding for the discrepancies with the reverse use of Elimination lemma, which introduces
no conservatism
in theory. The new method is formulated in terms of bilinear matrix inequality, which is not tractable compared with linear matrix inequality, thus a practical design procedure composed of line search and iterative algorithm is shown. The effectiveness of our method is illustrated by an application to flight controller design for the lateral‐directional motions of a research airplane MuPAL‐
α
and the consequently conducted flight tests. This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the actual scheduling parameters and the provided ones in the derivation of controller design condition. However, all methods in literature have conservatism in the overbounding, which is the main issue addressed in this article. We therefore propose a new overbounding for the discrepancies with the reverse use of Elimination lemma, which introduces no conservatism in theory. The new method is formulated in terms of bilinear matrix inequality, which is not tractable compared with linear matrix inequality, thus a practical design procedure composed of line search and iterative algorithm is shown. The effectiveness of our method is illustrated by an application to flight controller design for the lateral‐directional motions of a research airplane MuPAL‐α and the consequently conducted flight tests. Summary This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV systems. This problem has already been tackled and several methods have been proposed by overbounding the discrepancies between the actual scheduling parameters and the provided ones in the derivation of controller design condition. However, all methods in literature have conservatism in the overbounding, which is the main issue addressed in this article. We therefore propose a new overbounding for the discrepancies with the reverse use of Elimination lemma, which introduces no conservatism in theory. The new method is formulated in terms of bilinear matrix inequality, which is not tractable compared with linear matrix inequality, thus a practical design procedure composed of line search and iterative algorithm is shown. The effectiveness of our method is illustrated by an application to flight controller design for the lateral‐directional motions of a research airplane MuPAL‐α and the consequently conducted flight tests. |
| Author | Sato, Masayuki Peaucelle, Dimitri |
| Author_xml | – sequence: 1 givenname: Masayuki orcidid: 0000-0003-0387-3467 surname: Sato fullname: Sato, Masayuki email: sato.masayuki@jaxa.jp organization: Japan Aerospace Exploration Agency – sequence: 2 givenname: Dimitri surname: Peaucelle fullname: Peaucelle, Dimitri organization: LAAS‐CNRS, Université de Toulouse, CNRS |
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| Cites_doi | 10.1080/00207721.2014.911389 10.1080/00207170210140212 10.1016/j.ifacol.2018.11.167 10.1016/j.sysconle.2020.104632 10.1080/10556789908805762 10.1016/S0005-1098(96)00211-7 10.1002/rnc.4590040403 10.1007/978-1-4614-1833-7_8 10.1007/978-3-642-36110-4 10.1080/10556789908805766 10.1016/j.automatica.2016.10.026 10.1007/978-3-319-53997-3 10.1016/j.automatica.2013.01.034 10.1109/TAES.2019.2943770 10.1109/9.661070 10.1109/TCST.2014.2327584 10.1002/rnc.1711 10.1007/978-1-4614-1833-7 10.1109/TCST.2017.2692750 10.1109/TAC.2008.928119 10.1002/rnc.4333 10.1016/j.sysconle.2009.03.001 10.1016/0005-1098(94)90110-4 10.1016/0005-1098(95)00038-X 10.1109/CDC.2015.7402316 10.2514/6.2000-4574 10.1109/CCTA.2018.8511424 10.1002/rnc.1001 |
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| Keywords | uncertain scheduling parameter Linear Parameter-Varying (LPV) system Elimination lemma flight controller |
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This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters... This article addresses the design problem of linear parameter‐varying (LPV) output feedback controllers that depend on inexact scheduling parameters for LPV... |
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| SubjectTerms | Automatic Control Engineering Computer Science Control systems design Design parameters Elimination lemma Feedback control Flight control systems flight controller Flight tests inexact scheduling parameter Iterative algorithms Linear matrix inequalities linear parameter‐varying system Mathematical analysis Output feedback Parameter varying control Scheduling |
| Title | Conservatism reduction for linear parameter‐varying control design facing inexact scheduling parameters illustrated on flight tests |
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