Constructive backstepping for a class of delay systems based on functionals of complete type

Javier Pereyra Zamudio; Sabine Cuzange; Frédéric Mazenc

doi:10.1016/j.ifacol.2020.12.1028

Conference papers

Constructive backstepping for a class of delay systems based on functionals of complete type

Javier Pereyra Zamudio ¹ Sabine Cuzange ¹ Frédéric Mazenc ²

1 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional

2 DISCO - Dynamical Interconnected Systems in COmplex Environments

Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes

Abstract : In this paper we consider an alternative approach of the backstepping control strategy with the introduction of artificial delays combined with Lyapunov-Krasovskii functionals of complete type, thus allowing a constructive approach for the design of asymptotically stabilizing controls of linear systems with delay in the input and state that are too long for being neglected.

Keywords : Linear systems Delay systems Lyapunov methods Stability of delay systems

Document type :

Conference papers

Domain :

Computer Science [cs] / Automatic Control Engineering

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https://hal.inria.fr/hal-02566162
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Submitted on : Wednesday, May 6, 2020 - 7:48:32 PM
Last modification on : Thursday, February 3, 2022 - 11:16:10 AM

Constructive backstepping for a class of delay systems based on functionals of complete type

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Constructive backstepping for a class of delay systems based on functionals of complete type

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