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
Hlavní autoři: Sato, Masayuki, Peaucelle, Dimitri
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bognor Regis Wiley Subscription Services, Inc 01.10.2020
Wiley
Témata:
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
uncertain scheduling parameter
Linear Parameter-Varying (LPV) system
Elimination lemma
flight controller
ISSN:1049-8923, 1099-1239
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Shrnutí: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.
Bibliografie:Funding information
Japan Society for the Promotion of Science, KAKENHI Grant Number 15K06159
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5037