Flatness and quasi-static state feedback in non-linear delay systems

2008/03/01 by H. Mounier, Hugues Mounier, J. Rudolph +1 · 2 citations
Engineering · Mathematics · #Stability and Control of Uncertain Systems #Numerical methods for differential equations #Advanced Differential Equations and Dynamical Systems

paper · doi:10.1080/00207170701579437

Abstract

Two notions from the theory of non-linear systems without time delays are generalized to non-linear delay systems: flatness and quasi-static state feedback. Depending on the generality of the relations considered, flatness properties of increasing generality are obtained: flatness, δ-flatness, π-flatness, and difference-differential flatness. It is then shown that difference-differentially flat delay systems are linearizable by a certain class of “predictive” quasi-static state feedback, i.e., that they are equivalent by such feedback to a linear controllable system. The mathematical framework is difference-differential algebra.

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