Finite Time Stabilization of a Double Integrator - Part I: Continuous Sliding Mode-based Position Feedback Synthesis - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2011

Finite Time Stabilization of a Double Integrator - Part I: Continuous Sliding Mode-based Position Feedback Synthesis

Résumé

The twisting and supertwisting algorithms, generating important classes of second order sliding modes (SOSM's), are well-recognized for their finite time stability and robustness properties. In the present paper, a continuous modification of the twisting algorithm and an inhomogeneous perturbation of the supertwisting algorithm are introduced to extend the class of SOSM's that present the aforementioned attractive features. Thus modified, the twisting and supertwisting algorithms are utilized in the state feedback synthesis and, respectively, velocity observer design, made for the finite time stabilization of a double integrator if only position measurements are available. Performance and robustness issues of the resulting output feedback synthesis are illustrated by means of numerical simulations.
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Dates et versions

hal-00794656 , version 1 (26-02-2013)

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  • HAL Id : hal-00794656 , version 1

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Yuri Orlov, Yannick Aoustin, Christine Chevallereau. Finite Time Stabilization of a Double Integrator - Part I: Continuous Sliding Mode-based Position Feedback Synthesis. IEEE Transactions on Automatic Control, 2011, 56 (3), pp.614 - 618. ⟨hal-00794656⟩
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