Continuous-time linear predictive control and flatness: a module-theoretic setting with examples
Titel:
Continuous-time linear predictive control and flatness: a module-theoretic setting with examples
Auteur:
Fliess, Michel Marquez, Richard
Verschenen in:
International journal of control
Paginering:
Jaargang 73 (2000) nr. 7 pagina's 606-623
Jaar:
2000-05-10
Inhoud:
A general flatness-based framework for linear continuous-time predictive control is presented. The mathematical setting, which is valid for multivariable systems, is provided by the algebraic theory of modules where a controllable system corresponds to a finitely generated free module over a principal ideal ring. Any basis of this free module is a flat output which yields an easy calculation of the predicted trajectory. This formalism permits one to handle non-minimum phase systems, system constraints, and to deal with additive perturbations. Three concrete case studies, namely a dc motor, a flexible system, and a cement mill, are analysed and simulations are given. These examples are written in such a way that any reader who is not familiar with module theory may nevertheless grasp the proposed control strategy.
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