M
Michel Fliess
Researcher at École Polytechnique
Publications - 343
Citations - 16704
Michel Fliess is an academic researcher from École Polytechnique. The author has contributed to research in topics: Nonlinear system & Linear system. The author has an hindex of 55, co-authored 336 publications receiving 15381 citations. Previous affiliations of Michel Fliess include CentraleSupélec & Centre national de la recherche scientifique.
Papers
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Flatness and defect of non-linear systems: introductory theory and examples
TL;DR: In this paper, the authors introduce flat systems, which are equivalent to linear ones via a special type of feedback called endogenous feedback, which subsumes the physical properties of a linearizing output and provides another nonlinear extension of Kalman's controllability.
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A Lie-Backlund approach to equivalence and flatness of nonlinear systems
TL;DR: The authors prove that, although the state dimension is not preserved, the number of input channels is kept fixed and it is proved that a Lie-Backlund isomorphism can be realized by an endogenous feedback.
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Model-free control
Michel Fliess,Cédric Join +1 more
TL;DR: Model-free control and the corresponding ‘intelligent’ PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into account.
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An algebraic framework for linear identification
TL;DR: In this article, a closed loop parametrical identification procedure for continuous-time constant linear systems is introduced, which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus.
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Numerical differentiation with annihilators in noisy environment
TL;DR: It is shown that the introduction of delayed estimates affords significant improvement in numerical differentiation in noisy environment, and that the implementation in terms of a classical finite impulse response (FIR) digital filter is given.