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

Javier Pereyra Zamudio 1 Sabine Cuzange 1 Frédéric Mazenc 2, 3
1 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
2 L2S - Laboratoire des signaux et systèmes
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
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
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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, July 9, 2020 - 4:08:02 PM

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  • HAL Id : hal-02566162, version 1

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INRIA | L2S | UNIV-PARIS-SACLAY | SUP_LSS | CNRS | CENTRALESUPELEC | SUP_SYSTEMES

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Javier Pereyra Zamudio, Sabine Cuzange, Frédéric Mazenc. Constructive backstepping for a class of delay systems based on functionals of complete type. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02566162⟩

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