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Communication Dans Un Congrès Année : 2011

Lyapunov stability analysis of a twisting based control algorithm for systems with unmatched perturbations

Résumé

In this note, we present a result on stabilization of nonlinear strict-feedback systems affected by unknown perturbations when a control based on the so-called twisting algorithm, a second-order sliding mode controller, is applied. The novelty of the note relies in the stability analysis of the closed loop system. It follows along similar lines as for well-established theorems for nonlinear time-varying systems in cascade, with continuous right-hand sides. However, the class of systems that we deal with are discontinuous and perturbed. Although the presented analysis is aimed to perturbed second-order systems in strict feedback form, the purpose of this note is to settle the basis for a methodological stability analysis approach for higher-order systems. An illustrative example is provided.

Domaines

Automatique
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Dates et versions

hal-00688767 , version 1 (18-04-2012)

Identifiants

Citer

Antonio Estrada, Antonio Loria, Raul Santiesteban, Leonid Fridman. Lyapunov stability analysis of a twisting based control algorithm for systems with unmatched perturbations. IEEE Conf. Decision Contr, Dec 2011, United States. pp.4586-4591, ⟨10.1109/CDC.2011.6160583⟩. ⟨hal-00688767⟩
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