Simplification of dynamic problems by time-scale transformation: application to the nonlinear control with input positive constraints

In this paper, we show how time-scale transformations (TST) can be used for the control of nonlinear sytems subject to positive constraints. Such transformations, which consist in a change of the time variable, enable to define a new time-scale denoted τ in which the control problem becomes unconstr...

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Bibliographic Details
Published inIFAC-PapersOnLine Vol. 50; no. 1; pp. 10691 - 10696
Main Authors Casenave, C., Montseny, E.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2017
Subjects
input positive constraints
input saturation
nonlinear control
time-scale transformation
nonlinear control
input saturation
input positive constraints
time-scale transformation
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Summary:In this paper, we show how time-scale transformations (TST) can be used for the control of nonlinear sytems subject to positive constraints. Such transformations, which consist in a change of the time variable, enable to define a new time-scale denoted τ in which the control problem becomes unconstrained and is therefore simplified. Classical methods such as dynamic feedback linearizing control design can then be used, leading to control laws that naturally fullfill the input positive constraints. The proposed method is applied on two concrete examples and compared with an other approach.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2017.08.2218