Input-output linearization of nonlinear time-varying delay systems: the single-input single-output case

Ihab I. Haidar (1, 2) , Florentina Nicolau (1, 2) , Jean-Pierre Barbot (1, 2) , Woihida Aggoune (1, 2)

1 QUARTZ - Laboratoire QUARTZ
2 ENSEA - Ecole Nationale Supérieure de l'Electronique et de ses Applications

This paper deals with the input-output linearization of nonlinear timevarying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded nonlinear feedback linearizing the inputoutput behavior of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

Mots clés: Nonlinear control systems; delay systems; input-output linearization; Lie derivative

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Ihab I. Haidar, Florentina Nicolau, Jean-Pierre Barbot, Woihida Aggoune. Input-output linearization of nonlinear time-varying delay systems: the single-input single-output case. IMA Journal of Mathematical Control and Information, 2019, ⟨10.1093/imamci/dnz030⟩. ⟨hal-03053007⟩