Continuous-time non-linear flatness-based predictive control: an exact feedforward linearisation setting with an induction drive example

A general flatness-based framework for non-linear continuous-time predictive control is presented. It extends the results of Fliess and Marquez ( 2000 ) to the non-linear case. The mathematical setting, which is valid for multivariable systems, is provided by the theory of flatness-based exact feedf...

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Bibliographic Details
Published in:International journal of control 2008-10, Vol.81 (10), p.1645-1663
Main Authors: Hagenmeyer, V., Delaleau, E.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
differential flatness
exact feedforward linearisation
Exact sciences and technology
exogenous perturbation
extended PID control
induction drive
non-linear predictive control
parameter uncertainty
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Summary:A general flatness-based framework for non-linear continuous-time predictive control is presented. It extends the results of Fliess and Marquez ( 2000 ) to the non-linear case. The mathematical setting, which is valid for multivariable systems, is provided by the theory of flatness-based exact feedforward linearisation introduced by the authors (Hagenmeyer and Delaleau 2003b ). Thereby differential flatness does not only yield an easy calculation of the predicted trajectories considering the respective system constraints, but allows to use simple linear feedback parts in a two-degree-of-freedom control structure. Moreover, this formalism permits one to handle non-minimum phase systems, and furthermore to deal with parameter uncertainties and exogenous perturbations. Respective robustness analysis tools are available. Finally, an induction drive example is discussed in detail and experimental results for this fast electro-mechanical system are presented.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170802090177